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Article

Mapping Layers of Clay in a Vertical Geological Surface Using Hyperspectral Imagery: Variability in Parameters of SWIR Absorption Features under Different Conditions of Illumination

by
Richard J. Murphy
1,*,
Sven Schneider
1 and
Sildomar T. Monteiro
2
1
Australian Centre for Field Robotics, Department of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, The Rose Street Building J04, NSW 2010, Australia
2
Center for Imaging Science and Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, 79 Lomb Memorial Drive, Rochester, NY 14623, USA
*
Author to whom correspondence should be addressed.
Remote Sens. 2014, 6(9), 9104-9129; https://doi.org/10.3390/rs6099104
Submission received: 1 June 2014 / Revised: 16 September 2014 / Accepted: 17 September 2014 / Published: 24 September 2014
Graphical abstract
">

<p>Images showing context of geological units within the mine face. (<b>a</b>) Location of observed clay shale bands (shown as arrows) and their relationship to geological units on the mine face: Major layers of clay which mark the boundaries of geological units are indicated (CL2, CL3) by dotted yellow lines. Clay layer 1 (CL1) extends beyond the borders of the image and its boundary with geological unit “A” is shown as a solid yellow line. Banded Iron Formation (A and D); Whaleback shale (B), Black shale (C). See <a href="#t2-remotesensing-06-09104" class="html-table">Table 2</a> for details. Geological units not delineated by discrete layers of clay are shown as solid lines. Spatial image subsets (Subsets 1 and 2) used in this study are shown by the dashed green rectangles; (<b>b</b>) Location of plots from which samples taken for XRD analysis and laboratory spectroscopy.</p> ">

<p>Mean pixel values (<span class="html-italic">n</span> = 120) over homogenous dark and bright targets, divided by their variance as a measure of the relative amount of noise across replicate images: (<b>a</b>) data from 15% reflective Spectralon; (<b>b</b>) data from ∼80% reflective Teflon. Larger and smaller values indicate, respectively, that noise comprised a smaller or larger component of the overall signal.</p> ">

<p>Schematic representation of the method used to extract feature parameters wavelength position, depth and width from the deepest absorption feature in the spectrum: (<b>a</b>) reflectance spectrum of kaolinite showing large absorption at ∼2200 nm and a smaller absorption at ∼2300 nm. The continuum is defined as a series of straight line segments (dotted line); (<b>b</b>) the same spectrum after removal of the continuum by dividing the reflectance by the continuum at each wavelength. The short- and long-wave limits of the feature were automatically determined. Feature depth was calculated as 1 minus the hull quotients reflectance at the deepest point of the absorption. Feature width was interpolated at half the feature depth. Wavelength position was determined by the quadratic method (Rodger <span class="html-italic">et al</span>., 2012 [<a href="#b31-remotesensing-06-09104" class="html-bibr">31</a>]). The three bands used as input into the quadratic equations are located at the feature minimum (λ<sub>max</sub>) and bands to its left (λ<sub>max</sub> − 1) and right (λ<sub>max</sub> + 1). Features are parameterized only if they have a hull quotients reflectance which is less than the depth threshold (DT; horizontal blue line).</p> ">

<p>Histograms of feature parameters for the deepest absorption feature in the spectrum, derived from pixels in Subset 1. Black and grey bars, respectively, represent pixels whose feature parameters have been derived with or without use of a depth threshold (set at 0.95).</p> ">

<p>Hull quotients and reflectance spectra extracted from images T1-S and T3-C. Spectra (<span class="html-italic">n</span> = 10) were randomly-selected from a population of pixels identified as having a wavelength of 2276 nm in image T3-C. (<b>a</b>) Hull quotients spectra are of the same pixels from images T1-S and T3-C. The horizontal dashed line is the value of the depth threshold set for the extraction of absorption features; (<b>b</b>) Example reflectance spectra taken from (a), before and after smoothing. The vertical dashed lines delineate the spectral range over which the continuum was removed prior to automated feature extraction (AFE). Note the absence of coherent absorption features in smoothed and unsmoothed spectra from image T1-S.</p> ">

<p>Changes (differences) in the feature parameters wavelength position, depth and width for images T2-S, T3-C and T4-S, relative to image T1-S. Positive and negative values indicate that the parameter in question is larger or smaller than the image T1-S. Zero values indicate no change. Graphical elements of the box-plots describe various statistical attributes of the data: box boundaries (25th and 75th percentiles); thin and bold lines bisecting box (median and mean of data, respectively), whiskers (10th and 90th percentiles), filled circles (5th and 95th percentiles of the outliers).</p> ">

<p>Images of absorption feature parameters, wavelength position, depth and width for Subset 1 (see <a href="#f1-remotesensing-06-09104" class="html-fig">Figure 1</a> for context) of images acquired under different conditions of illumination. Pixel spectra which had a minimal hull-quotients reflectance value of 0.95 or less were considered to have a coherent absorption feature. The feature parameters of these pixels were then calculated by the AFE algorithm; all other pixels were set to zero (black pixels in the images). Color/grey-scale ramps are shown at the bottom. The arrow in the images representing depth indicates an area of intense absorption by clay minerals (see text for details).</p> ">

<p>Maps of clay absorption features showing the location of clay layers over the entire mine face. Data are for the deepest absorption feature in each pixel spectrum within the depth threshold (0.95), pixels which do not have absorption features within this threshold are shown as grey-scale values of reflectance at 2029 nm. (<b>a</b>) Wavelength position; (<b>b</b>) Depth. Location of clay layers mapped by AFE but not observed in the field are indicated by arrows in (a).</p> ">

<p>Reflectance (1998–2404 nm) and hull-quotients (HQ; 2041–2337 nm) spectra from hyperspectral imagery acquired in the laboratory and in the field. Spectra acquired in the laboratory are average spectra from the rock samples acquired from the mine face (<span class="html-italic">n</span> = 1000). Spectra acquired in the field are average spectra for pixels over each sampled plot in the imagery (<span class="html-italic">n</span> = 224). See <a href="#f1-remotesensing-06-09104" class="html-fig">Figure 1</a> for locations of Plots). Note that the hull quotients spectra have been constrained to the spectral region over which the continuum was removed prior to AFE (2041–2337 nm). The broken horizontal line in the hull-quotients plots is the threshold; only features which extend below this line were considered for parameterization by AFE (see text for details).</p> ">
Versions Notes

Abstract

: Hyperspectral imagery of a vertical mine face acquired from a field-based platform is used to evaluate the effects of different conditions of illumination on absorption feature parameters wavelength position, depth and width. Imagery was acquired at different times of the day under direct solar illumination and under diffuse illumination imposed by cloud cover. Imagery acquired under direct solar illumination did not show large amounts of variability in any absorption feature parameter; however, imagery acquired under cloud caused changes in absorption feature parameters. These included the introduction of a spurious absorption feature at wavelengths > 2250 nm and a shifting of the wavelength position of specific clay absorption features to longer or shorter wavelengths. Absorption feature depth increased. The spatial patterns of clay absorption in imagery acquired under similar conditions of direct illumination were preserved but not in imagery acquired under cloud. Kaolinite, ferruginous smectite and nontronite were identified and mapped on the mine face. Results were validated by comparing them with predictions from x-ray diffraction and laboratory hyperspectral imagery of samples acquired from the mine face. These results have implications for the collection of hyperspectral data from field-based platforms.

Graphical Abstract">

Graphical Abstract

1. Introduction

Identifying and mapping clay minerals on vertical outcrops of geology or on mine faces in open-pit mines is important for economic reasons and safety. Thin layers of clay shales (2–30 cm thick) are often used by geologists as marker horizons to delineate geological units of similar appearance [1,2]. On mine faces, the relative positions of clay layers in the stratigraphic sequence are used to guide the extraction of ore from the mine face and as indicators for separating zones of ore from waste. In the context of remote sensing, the position of clay layers within the stratigraphy could potentially be used as a basis for the contextual classification of geological units in cases where they could not be distinguished on the basis of their spectral signature alone. Layers of clay also represent planes of stratigraphical weakness along which major landslides can occur [3,4]. Even relatively thin layers of clay can potentially increase the risk of slippage [5]. For example, 2–6 cm thick layers of clay in coal seams—so called clay mylonites—represent planes of weakness which can significantly increase the risk of slippage or failure along their length [6,7]. Clays, by attracting water into their layered structure, can undergo an expansion of up to four times their volume when transitioning from a dry to a saturated state [8]. Smectite-group clays have the greatest potential to swell and therefore present the greatest capacity for failure because they undergo repeated successive phases of expansion and contraction, causing localized disturbance and ground heave [811]. Identifying the types and abundance of clay minerals in these layers provides information that can be incorporated into assessments of risks or models of potential slope failure in road cuttings or in open pit mines, e.g., [12]. Mapping of clay layers in the field by visual inspection is problematic because it is labor-intensive and dangerous. It is also difficult, even for experienced geologists, to determine the types of clay present in the layers.

Hyperspectral imagery (SWIR; 2000–2450 nm) acquired from field-based platforms has the potential to provide the high (cm-scale) spatial resolutions required to map clays. Several analytical techniques such as the spectral angle mapper, SAM [13], the USGS tetracorder [14] or spectral unmixing, e.g., [15,16], have been used to map clay minerals by exploiting differences in their spectral curve shape caused by the presence or absence of diagnostic absorption features. Although these techniques can tell us something about the spatial distribution of clays, e.g., [17], they do not provide any information per se about their physical or chemical composition nor can they be applied to data without the use of a spectral library. Alternatively, clays can be detected or mapped by parameterising their diagnostic absorption features in the SWIR [18,19]. These features occur as a result of the hydroxyl (OH) stretch and metal-OH bend [20,21]. The parameters of absorption features include wavelength position, width and depth and these can be used directly to map clay minerals, e.g., [18,22], or as inputs to expert systems, e.g., [23]. Wavelength position, in particular, provides information related to the type of cation involved with Al, Mg, or Fe causing OH absorptions near 2210 nm, 2290 nm and 2320 nm, respectively [24]. Smaller shifts in the wavelength position of features close to 2200 nm have been related to the abundance of Al in octahedral sites in the crystal lattice of some phyllosilicates [25]. The depth of absorption features is related to abundance or the grain size of the absorbing mineral [26]. Absorption feature parameters are therefore intrinsically linked to the physical processes causing absorption and, as such, provide important information about the chemical composition of minerals. For these reasons, feature parameterization provides a powerful tool to extract information about clay mineralogy from spectra. Furthermore, this approach requires no spectral library, enabling clay minerals to be mapped without a priori knowledge of any particular surface.

To date, most studies have used hyperspectral images collected from airborne platforms, i.e., from an overhead or nadir perspective [27]. Because airborne data are expensive to collect, repeated flights over the same target are rarely done. Consequently, there is little or no information about if or how changing conditions of illumination (e.g., variable solar angles or cloud cover) might affect feature parameters derived from imagery acquired from field-based platforms. The first objective of this paper is therefore to quantify any changes in absorption feature parameters which might occur in imagery from the same target in response to different conditions of illumination caused by variable sun-angles or cloud cover (Experiment 1). The target surface used in this study is a vertical mine wall in an open-pit iron-ore mine in the Pilbara, Western Australia. If maps derived from feature parameters of the same surface were not comparable when viewed under different conditions of illumination, this would limit their usefulness. The map would change according to illumination—a factor which is unrelated to mineralogy. Such effects would, at the very least, constrain the conditions under which the imagery could be collected. The second objective of this paper therefore is to determine if, and to what degree, changing conditions of illumination during the course of the day might change maps of clay minerals derived from absorption feature parameters (Experiment 2). The third and final objective of this paper is to use hyperspectral imagery to map and quantify clay mineralogy on a mine wall (Experiment 3). Clay minerals are often distributed in discrete layers sometimes only a few cm thick. Delineation of these thin layers would enable mining companies to unambiguously assign geological boundaries to areas of the mine face and/or to determine the potential lines along which any slippage might occur. In this experiment we use imagery acquired under “optimal” conditions where the mine face is illuminated by direct sunlight.

2. Materials and Methods

2.1. Study Area

The study area was located in an iron ore mine in the Pilbara, Western Australia (24°12′52.77″S; 114°50′23.33″E). The rocks in this area are characterized by late Archaean and early Proterozoic rocks including Banded Iron Formation (BIF), Whaleback shale and black shale [1,28]. BIF is composed of alternating bands of magnetite and hematite which has, in places, become mineralized by removal of silica through hypogene and supergene processes. Whaleback shale is a thick sedimentary unit containing hematite, goethite, maghemite and silica but, generally, contains little clay. Black shale, rich in vermiculite, is also present. Thin layers of volcanic or sedimentary clay are dispersed within and between these major rock units (Figure 1; Table 1).

2.2. Hyperspectral Imagery

Hyperspectral imagery was acquired using a SWIR (1000–2500 nm) imaging sensor (Specim, Finland). The sensor was configured to have a nominal full-width-half-maximum (FWHM) bandwidth of 6 nm. According to the manufacturer, smile and keystone effects were quantified as less than 20% of the pixel size, so correction for these effects was not required. All data were corrected for contribution of dark current in each band by subtracting the dark current signal on a line-by-line basis.

2.2.1. Field Imagery

To protect against high ambient temperatures (>50 ºC) and airborne dust the sensor was enclosed in an environmentally-controlled box. Cooled, filtered, desiccated air was pumped into the top of the box and exhausted through the bottom. The sensor and enclosure were mounted on a rotating stage attached to the top of a tripod. The distance from the sensors to the mine face was 10 m, thus yielding a spatial pixel size of 0.46 cm × 0.46 cm.

Several calibration panels of different brightness were placed in the field of view of the imager. These comprised 15%, 30% and 99% reflective Spectralon® and ∼80% reflective Teflon. All panels were placed at the same angle of orientation as the mine face. The integration time of the sensor was set according to the ambient conditions of illumination so that pixels over the calibration panels were not saturated. Numerous images were acquired under variable conditions of solar illumination; however, four images were selected for use in this study (Table 2). The first image (T1-S) was acquired under “optimal” conditions with the sun fully and directly illuminating the mine face; the second image (T2-S) was acquired shortly after T1-S, under similar conditions of illumination and sun-angle, thus effectively replicating the conditions under which T1-S was acquired; the third image (T3-C) was acquired under stable illumination but under low-altitude cloud allowing the mine face to be illuminated with diffuse light; the fourth image (T4-S) was acquired under direct sunlight which illuminated the mine face at a more acute angle, causing parts of the mine face to become shaded by overhanging rocks.

All images were calibrated to absolute reflectance using the same calibration target (∼80% Teflon), on a band-by-band basis, using the flat field method. For each image band, pixel values in the image were divided by the average of the pixel values over the calibration panel and the result multiplied by the calibration factor of the Teflon panel. Image spectra were smoothed using an 9-band smoothing window using the method of Savitzky and Golay [29] with a polynomial of the second degree. This removed high-frequency noise whilst preserving the shape of the spectral curve and the wavelength position of absorption features. It is acknowledged that any smoothing filter has the capacity to shift the wavelength position of absorption maxima, however this was not apparent in these data.

2.2.2. Laboratory imagery

The SWIR imager was mounted on a metal scanning frame to obtain images from rock samples acquired in the field (see Section 2.3). Samples were placed on a moving scanning tray beneath the sensor, at a nominal distance of 730 mm. The source of illumination was two arrays of seven halogen lights. A calibration measurement was taken by placing a calibration panel (∼80% Teflon) within the field of view of the sensor. About 500 frames of data were acquired without moving the scanning tray. Imagery was then acquired from the rock samples. The integration time of the sensor was set so that the data occupied the full dynamic range of the data (16-bits), without saturating any pixels.

To remove spatial variations in illumination incident upon the rock samples, calibration to absolute reflectance was done separately for each spatial line recorded by the sensor. This was done for each band by dividing each spatial line in the target (i.e., sample) image by the average value of the corresponding line in the calibration image. The result was then multiplied by the reflectance factor of the calibration panel.

2.3. Rock Samples and X-Ray Diffraction (XRD) Analysis

Sampling of rocks on the mine face was constrained by considerations for safety and was limited to the lower part of the mine face, within easy reach of the road. Rock samples were collected from the major geological units identified in the field (Figure 1A–D; Table 2) and from the 2 major layers of clay which separated units A and B and units B and C (Figure 1; Table 2). Between 2 and 5 representative rock samples were collected within a 50 × 50 cm plot at each of these locations. The reason for sampling the geological units between the observed layers of clay was to determine if they were compositionally different to the layers of clay which separated them.

Minerals were then identified from each sample using quantitative X-Ray Diffraction (XRD) analysis. Samples were ring-milled with an internal standard and micronized. XRD patterns were measured using a Bruker-AXS D8 Advance Diffractometer with cobalt radiation. Crystalline phases were identified by using a search/match algorithm (DIFFRAC.EVA 2.1; Bruker-AXS, Germany). Relevant crystal structures extracted for refinement were obtained from the Inorganic Crystal Structure Database (ICSD 2012/1). The crystalline phases were determined on an absolute scale using Rietveld quantitative phase refinement, using the Bruker-AXS TOPAS v4.2 software package.

2.4. Analyses of Imagery

2.4.1. Determining Relative Amounts of Noise in Imagery

To determine the relative amounts of noise across all images, a rectangular block of 120 pixels were extracted from the center of a homogenous dark target (15% reflective Spectralon panel) and a homogenous bright target (∼80% reflective Teflon panel). For each band, the means and variances of these pixels were calculated. Amounts of noise for each band and target were calculated as the mean divided by the variance (Figure 2; Table 3). It should be noted that the derived values are only intended to be used as a measure of the relative amounts of noise between images and not an absolute measure of the signal-to-noise ratio.

2.4.2. Automated Feature Extraction (AFE)

The spectral continuum was removed using a hull-quotients procedure, i.e., dividing the reflectance at each pixel in the image by its upper convex hull [30]. The wavelength position, depth and width of the strongest (i.e., the deepest) absorption feature in each pixel spectrum was determined by AFE (Figure 3). Due to noise in the spectrum (Figure 2), the removal of the spectral continuum was constrained to wavelengths between 2041 and 2337 nm. The deepest absorption feature was identified as the smallest hull-quotients value in each pixel spectrum. However, as a consequence of noise, hull-quotients spectra without any observable absorption features often had minimal values that fell within the range 0.95 to 0.99. Preliminary tests indicated that true absorption features with a hull-quotients value of greater than 0.95 could not be distinguished from noise. A “depth threshold” of 0.95 was therefore set so that only features which had hull-quotients minima equal to or smaller than this value were considered to be “coherent” absorptions for subsequent parameterization by AFE. Pixels which had hull-quotient minima which were greater than the depth threshold were set to zero. AFE was applied to the same imagery with and without the depth threshold being set. This resulted in two AFE analyses for each of the 4 replicate images. Depth was determined in accordance with [30]. Wavelength position of the deepest feature was determined by the quadratic method of Rodger et al. [31]. For each AFE analysis, separate “parameter images” were created describing the wavelength position, depth and width of the deepest absorption feature in each pixel spectrum.

2.4.3. Experiment 1—Variation of Absorption Feature Parameters across Images

Absorption feature parameters across replicate images were compared in two separate analyses. First, to identify any general patterns of change in absorption feature parameters across images, the frequency of pixels describing wavelength position, depth and width within a spatial subset (Subset 1; Figure 1a) of each image were calculated and compared. The use of a spatial subset containing a prominent clay layer ensured that a larger proportion of pixels would contain absorption features than would have been the case if data from the entire image had been used. Second, changes in the parameters of absorption features located at specific wavelengths were determined between image T1-S and, respectively, T2-S, T3-C and T4-S. T1-S was selected as the “baseline” image because it was acquired under “optimal” conditions of illumination. It had, on average, the smallest amount of noise of any image, including T2-S, and which was acquired under similar conditions (Tables 1 and 3; Figure 2, bright target). Thus, absorption feature parameters derived from all other images were compared directly, pixel by pixel, with those from imagery acquired under “optimal” conditions. To do this, we focused specifically on pixels with absorption features with wavelengths at 2196 nm and 2202 nm (kaolinite) and 2288 nm (nontronite) as identified by the AFE wavelength parameter image of T1-S. Kaolinite is unambiguously identified by an absorption doublet centered on 2200 nm and a second, less intense absorption at 2160 nm [20]. Image spectra with absorption maxima centered on 2196 and 2202 nm both exhibited these spectral features and were therefore considered to be kaolinite. The same pixels were then identified in T2-S, T3-C and T4-S. To determine if absorption feature parameters in these images changed in relation to T1-S, images of each feature parameter derived from image T1-S were subtracted from the corresponding feature parameter derived from images T2-S, T3-C and T4-S.

2.4.4. Experiment 2—Spatial Patterns of Clay Absorption across Images

Spatial patterns in clay absorption were examined using the absorption feature parameters wavelength position, depth and width from image Subset 1 (see Figure 1a for context). This subset was chosen because it corresponded to the area used to examine changes in absorption feature parameters and because it presented well-defined clay layers of different composition. Patterns of clay absorption across each image were assessed qualitatively. A quantitative assessment was made using the number of absorption features which were found by AFE in each image. It was expected that, with increasing amounts of noise, there would be an increase in the number of spurious features found by AFE and, thus, a corresponding increase in high-frequency spatial noise in the parameter images.

2.4.5. Experiment 3—Delineation and Quantification of Clay Layers across the Entire Mine Face

Image T1-S, with the least amount of noise over the brightest calibration panel was selected to map clay layers on the mine face. AFE was used with a depth threshold of 0.95 to determine the wavelength position of the deepest absorption feature in each pixel spectrum (indicative of mineral type) and its depth (indicative of mineral abundance). The width parameter did not provide additional information on the clay minerals present and was not used.

XRD data from the rock samples were used to predict which plots would contain absorption features associated with clay minerals. Separately, for each sample plot, average spectra of the rock samples (from laboratory imagery) were compared with average spectra from field imagery of the mine face.

3. Results

3.1. Experiment 1—Variation of Absorption Feature Parameters across Images

3.1.1. General Patterns of Change of Absorption Feature Parameters

The frequency distribution of pixel values for each feature attribute and each image showed that there were large amounts of variability in parameters among images (Figure 4). The distribution of pixel values representing wavelength position for T1-S and T2-S were very similar; this was expected because these images were acquired under similar conditions of illumination. T1-S, T2-S and T4-S had large numbers of pixels which were excluded by the depth threshold (as indicated by the relatively large differences in number of pixels represented by the grey and black bars). Images T3-C and T4-S had a much larger number of pixels with an absorption feature at wavelengths greater than 2250 nm, however, the distribution of pixels with an absorption feature at wavelengths of less than 2250 nm in T4-S were similar to those found for T1-S and T2-S. Image T3-C was different to all other images because nearly all pixels in the image were included by the depth threshold, i.e., they were considered by AFE to have absorption features, as indicated by the dominance of black bars in the graph.

The peak in the numbers of pixels with an absorption feature at wavelengths greater than 2250 nm in image T3-C was investigated further. It was not known whether this peak was caused by noise or as a result of subtle mineral absorption features becoming more pronounced under the more diffuse illumination conditions under which T3-C was acquired. The modal peak in this wavelength region was at 2276 nm (indicated in Figure 4). Pixels with absorption features at 2276 nm were identified in the wavelength parameter image derived from T3-C. A random selection of these pixels was extracted from images T1-S and T3-C; in each case the same image pixels were used (n = 10). The extracted spectra comprised hull quotients spectra and reflectance spectra from images before and after spectral smoothing (Figure 5). This was done to determine if the smoothing process had introduced spectral artefacts. Hull-quotients spectra from T1-S had a relatively flat spectral profile but the same pixel spectra from T3-C showed distinct dips in reflectance at wavelengths greater than 2250 nm (Figure 5a). No spectra from T1-S had absorption features which had values less than 0.95 (the depth threshold value used to identify absorption features). Spectra from T3-C did, however, have “features” which extended below the depth threshold, particularly around 2276 nm. Reflectance spectra from corresponding pixels from the unsmoothed and smoothed imagery showed no coherent absorption features in image T1-S (Figure 5b). In image T3-C, however, the same pixels showed a broad dip in reflectance at wavelengths greater than 2250 nm (Figure 5b). This indicated that for image T3-C absorptions at about 2276 nm, and other wavelengths longer than 2250 nm, were caused by factors which are unrelated to the mineralogy of the mine face.

The frequency distributions of pixels representing feature depth were similar for images T1-S, T2-S and T4-S (Figure 4). Image T3-C showed a different distribution, with the modal value and right side of the distribution shifted to greater values. The frequency distribution of pixel values representing the width parameter was similar for images T1-S and T2-S. The modal value was similar for both images (67 nm), as was the range of values. In contrast, images T3-C and T4-S showed a more marked bimodal distribution with a peak at 67 nm comprising a more distinct secondary peak at about 30 nm. This indicated that a proportion of pixels had absorption features which were narrower compared with T1-S and T2-S. Further examination revealed these features to be associated with noise in pixels which had not been excluded from consideration by the depth threshold.

3.1.2. Changes in Absorption Feature Parameters at Specific Wavelengths

Absorption feature parameters in images T2-S, T3-C and T4-S changed in relation to those in image T1-S (Figure 6; Table 4). Wavelength positions of absorption features associated with kaolinite (centered on 2196 nm and 2202 nm) and nontronite (centered on 2288 nm) were, respectively, greater and smaller than the absorption features found in the same pixels in the baseline image (T1-S; Figure 6, Table 4). In all cases, this effect was more pronounced in the image acquired under cloud (T3-C). Changes in wavelength position were also more variable in T3-C than for images acquired in direct sunlight (T2-S and T4-S). The depth of all absorption features generally increased in all images relative to T1-S, with the greatest increase found for image T3-C. In comparison, changes in depth for images T2-S and T4-S were relatively small. Of the three measured parameters, changes in absorption feature width showed the greatest inconsistencies among different absorption features and images. For the features associated with kaolinite, width increased in T2-S and T4-S but decreased in T3-C. The feature associated with nontronite, showed a small decrease in width in T2-S but a relatively large increase in T3-C and T4-S. In general the largest changes in all feature parameters were found for the image acquired under cloud (T3-C) and the smallest for the image acquired under direct sunlight (T2-S, i.e., under similar illumination conditions to the baseline image T1-S.

3.1.3. Experiment 2—Spatial Patterns of Clay Absorption across Images

The proportion of total pixels in image Subset 1 identified by AFE as having a coherent absorption feature, as defined by the depth threshold, differed among images: T1-S (38%), T2-S (61%), T3-C (89%) and T4-S (72%). Images describing each absorption feature parameter were different among the replicate images (Figure 7).

For wavelength position, images T1-S and T2-S showed results that were largely consistent (i.e., spatial patterns mapped by wavelength position were similar in both images). This was unsurprising because these images were acquired under similar conditions of illumination. Spatial patterns in wavelength position shown in T1-S were largely preserved in T2-S; however, more pixels were identified by AFE in T2-S as having coherent absorption features. T1-S, T2-S and T4-S showed consistent, prominent layers of clay with absorption features at 2196 nm, 2202 nm and 2233 nm. Spatial patterns of wavelength position in T3-C were, however, very different to other images. Absorption features that were within the depth threshold value (i.e., a value of 0.95 or less in the hull quotients spectrum) were found in the great majority (89%) of image pixels. Although absorptions at 2202 nm still formed clear spatial patterns in some parts of the image, it is difficult to distinguish layers of clay in other parts of the image. Image T3-C has many more pixels with the longest wavelength (2288 nm) compared with other images and this is consistent with results from the frequency distributions (Experiment 1; Figure 4).

Pixels describing absorption feature depth in T1-S, T2-S and T4-S showed similar spatial patterns with respect to their intensity (brightness), with values in each image increasing in proportion with those in other images. For example, an area of intense absorption (indicated by arrows in Figure 7) of similar shape and extent is present in T1-S, T2-S and T4-S. Pixel values in this area are also greater (brighter) than other pixels in the same image. Image T3-C showed a different spatial pattern to all other images. For example, in the area of intense absorption (indicated by arrows in Figure 7) pixel values were not greater than for other areas in the same image; neither did they form an area of similar shape or extent as was observed in other images.

Pixels describing absorption feature width that had the largest values (greatest width) were present in parts of the image which contained black shale (see Subset 1, Figure 1). SWIR spectra of black shale have very weak absorptions due to disordered kaolinite or vermiculite. The brightest pixels in images T1-S, T2-S and T4-S had widths which exceeded 150 nm. The weak absorption features in black shale could not account for these large values. Further inspection indicated that spectral noise, particularly at longer wavelengths (>2300 nm), was the cause of the anomalously large values. Black shale had a reflectance of <8%, so that pixel values over the shale had small signal-to-noise ratios. The hull-quotients procedure used to normalize the spectra further increased noise, resulting in absorption features which were entirely an artefact of noise. These features were sufficiently deep as to be included in the depth threshold. Image T3-C showed little spatial structure with regard to absorption feature width and contained mainly noise. Results from all images indicated that width was not a useful parameter for mapping clays in these particular data. It was not therefore used in the subsequent analysis.

3.2. Experiment 3—Delineation and Quantification of Clay Layers across the Entire Mine Face

3.2.1. Clay Layers in Imagery

Images of wavelength position showed the presence of many layers of different types of clay of variable widths and lengths (Figure 8a). The depth of absorption features, as described by the depth parameter image were very variable spatially (Figure 8b). The deepest absorption features were related to kaolinite nontronite and Fe-smectite absorption features (cf. ( http://en.wikipedia.org/wiki/Cf.), Figure 8a,b). The clay layers in the image that were found by AFE were spatially coincident with the position of major clay layers recorded from the field survey (arrows in Figure 1) and with the predictions made from quantitative XRD of rock samples (see Section 3.2.2 and plot locations in Figure 1b). Several thin (2–4 cm thick) layers of clay which were not observed in the field were identified on the mine face by AFE (arrows in Figure 8a).

3.2.2. Validation—Comparison of Spectra from Imagery Acquired in the Laboratory and in the Field

XRD analyses of samples taken from plots on the mine face revealed several minerals (Table 5) which have absorption features in the SWIR, as determined from the USGS and JPL spectral libraries: clinochlore (2325–2345 nm), nontronite (2284–2295 nm), kaolinite (2200–2205 nm) and vermiculite (2300–2325 nm). It was predicted that absorption features diagnostic of these minerals would be found in spectra in rocks from Plot 1 (nontronite), Plot 4 (kaolinite), Plot 6 (clinochlore, vermiculite) and Plot 7 (kaolinite). Amounts of kaolinite present in Plots 1, 3 and 6 were considered to be too small to cause absorption features of sufficient depth to be observed in image spectra or included in the depth threshold.

For validation, laboratory and field spectra were compared for each plot (Figure 9). Plots 1, 4, and 7 had absorption features which extended below the depth threshold and were therefore considered by AFE to have coherent absorption features. Plot 6 had a weak absorption above the depth threshold at 2208 and 2202 nm in the laboratory and field spectra, respectively. The wavelengths of these features were too short to be due to either clinochlore or vermiculite, but may be caused by some other minerals that were present but not quantified by XRD (note, the large amount of amorphous material for Plot 6; Table 5). This was most likely to be caused by amorphous silica [32,33]. XRD results for Plots 2, 3 and 5 did not reveal the presence of any minerals which might cause absorption in the SWIR, however, laboratory image spectra showed a weak feature located at 2202 nm. The wavelength of this feature in spectra from the field imagery was more variable but spectra had a similar shape to the laboratory image spectra. These results indicated that spectra acquired in the laboratory were consistent with spectra acquired from field imagery of the mine face. The clay minerals found in Plots 1, 4 and 7 were also consistent with those determined by XRD. Some absorption features presented in Figure 9 appeared to be real (e.g., Plots 2 and 3); they had a coherent shape comprising short- and long-wave slopes either side of a discrete reflectance minimum. However, these were not categorized as coherent features by AFE as they had minimal reflectances which were above the threshold (the dotted line in Figure 9). The apparent coherency of these features in Figure 9 arised from the fact that they were averages over the entire plot. Individual pixel spectra upon which AFE operated had more noise, and shallow absorption features could not be consistently distinguished from this background of noise. These features are therefore excluded from parameterization by AFE.

3.2.3. Absorption Features Mapped across the Whole Mine Face

The deepest absorption features found in each pixel spectrum by AFE were located at wavelengths of 2109 nm (ligno-cellulose), 2196 nm and 2202 nm (kaolinite), 2233 nm (Fe-smectite) and 2288 nm (nontronite). The identity of the minerals causing these absorptions was determined using a combination of the XRD analyses (Table 5), the curve shape of the spectra and the wavelength locations of known mineral absorptions from the literature (Figure 10). Kaolinite was identified by its characteristic absorption doublet with a main absorption at about 2200 nm and a second absorption at about 2160 nm [20,21]. Spectra with absorption maxima at 2196 nm and 2202 nm either exhibited a discrete doublet or a shoulder at about 2160 nm. The difference in wavelength position between these two kaolinite features was small (a single spectral band); this may be due to a number of factors, including the amounts of impurities present at the location. Nontronite was distinguished by a pronounced absorption at 2288 nm caused by Fe-OH. [24]. Numerous pixels had an absorption at 2233 nm. Pixel spectra with an absorption at this wavelength also had an absorption between 2284 and 2288 nm. In reflectance spectra, the deepest of these features appears to be the one located to longer wavelengths (i.e., between 2284–2288 nm). However, after removal of the spectral continuum, the deepest feature was found to be located at 2233 nm. The wavelength locations of these absorptions is similar to those reported by [24] for Fe-smectite, specifically at 2288 nm and 2236 nm. We therefore assign the absorption at 2236 nm to Fe-smectite. In some spectra the 2284–2288 nm feature was deeper than the feature at 2233 nm in which case this suggested that the spectrum was dominated by nontronite. Spectra of pixels identified as having mineral absorption features at each of these wavelengths showed a consistent spectral shape but some had large variations in reflectance (Figure 10).

4. Discussion

Several laboratory studies have shown that parameters of absorption features, in particular wavelength position, can yield valuable information related to aspects of the chemical-physical properties of minerals [25,34]. Some studies have extracted meaningful information about mineralogy from the wavelength position of absorption features derived from airborne imagery, e.g., [35]. It remains, however, unclear as to the reproducibility of results when data are acquired of the same target but under different conditions of illumination or, in the case of imagery acquired from field-based platforms, under cloud. Changes in absorption feature parameters are a particular concern where data are acquired from topographically complex vertical surfaces such as mine faces or outcrops of rock. This is because changes in the position of the sun relative to the sensor and target can cause large spatial variations in incident and reflected light, thus complicating atmospheric correction.

In Experiment 1 we evaluated the effects of changing illumination conditions on feature parameters derived from imagery acquired from a topographically complex mine face. The feature parameters, wavelength position, depth and width were found to be similar for replicate imagery acquired under similar conditions of illumination and time of day. Feature parameters derived from imagery acquired under cloud (T3-C) were, however, different to those derived from imagery acquired under “optimal” conditions (direct sunlight; T1-S). Absorptions at shorter wavelengths, i.e., 2196 nm and 2202 nm, caused by kaolinite were, on average, shifted to longer wavelengths in T3-C. The opposite effect was found for the feature at 2288 nm, caused by nontronite which was, on average, shifted to shorter wavelengths in T3-C. On average, depth of all absorption features increased in T3-C compared with T1-S. Relative to T1-S, the width of absorption features in T3-S decreased for absorptions at 2196 nm and 2202 nm but increased in the absorption at 2288 nm. Some of these effects were observed, but to a smaller extent, in imagery acquired under very different solar angles (i.e., image T4-S).

A major difference between T3-C and T1-S was the introduction of an absorption feature at wavelengths long-wave of 2250 nm. Although the purpose of this paper was to describe rather than to explain the causes of changes in feature parameters, the introduction of this feature in spectra from image T3-C requires further comment. The feature could result from either an incomplete removal of atmospheric absorption features during the calibration to reflectance and/or an increase in noise towards longer wavelengths. Several atmospheric absorptions are located at wavelengths long-wave of 2250 nm. Atmospheric water has a weak absorption centered at about 2276 nm but also causes a progressive decline in atmospheric transmission long-wave of about 2298 nm. Methane has a very weak atmospheric absorption which peaks at about 2347–2377 nm. Nitrogen also has a very weak absorption between about 2246–2326 nm. The combined effects of these absorptions may remain in spectra because they have not been completely removed by the flat-field reflectance calibration. Furthermore, their combined absorptions cause a decrease in atmospheric transmission long-wave of about 2300 nm, reducing the amount of signal available to the sensor causing a decrease in the signal to noise ratio of the data. Calibration of imagery to reflectance was done using a simple flat-field approach which effectively removed multiplicative but not additive atmospheric effects such as scattered path radiance. Cloud cover increases scattered path radiance which can potentially reduce contrast, particularly for low albedo materials or surfaces under conditions of shade. Because the calibration panel is, nominally at least, illuminated by the same light as the mine face, atmospheric effects should have been removed by the calibration process. No residual atmospheric absorptions should be seen in the data. Parts of the mine face were, however, affected by shade (caused by overhanging rock) and changes in illumination and reflection imposed by the complex geometry of its surface. These effects were present to some extent in all of the images used in this study. The calibration panel was not affected by shade in any image. The wavelength-intensity distribution of light reflected from the calibration panel would likely have been different to that reflected from areas of shade in the image. This is an inherent limitation of using a calibration panel located at a particular point on a surface to calibrate all areas of the surface which may or may not be affected by shade. The apparently spurious absorption feature in T3-C long-wave of 2250 nm is likely to have been caused by a combination of incomplete removal of atmospheric absorption and a decrease in signal to noise towards longer wavelengths. Noise spikes towards longer wavelengths would be defined as the part of the upper convex hull and would therefore be set to unity in the hull-quotients spectrum. Thus, any small reduction in reflectance towards shorter wavelengths caused by incomplete removal of atmospheric absorption effects would result in an absorption feature which may appear to be coherent over several spectral bands.

Not all parts of the hull-quotients spectrum which had values less than unity could be considered to be absorption features. Features which had a hull-quotients reflectance value of less than 1 but greater than ∼0.95 could not be distinguished from the background noise of the spectrum. The use of a depth threshold enabled such features to be excluded from the analysis. This simple approach may have excluded some weak, but genuine, mineral absorption features. In Experiment 2 we examined if the spatial patterns of clay absorption features found in imagery acquired under optimal conditions were preserved in imagery acquired in similar and under different conditions of illumination. To do this, the same depth threshold (0.95) was applied in each case. The proportion of pixels determined by AFE to have absorption features (i.e., had a hull quotients reflectance less than 0.95) was least in imagery acquired under optimal conditions (T1-S; 38%) but increased in the replicate imagery acquired under similar conditions (T2-S; 61%) and again the image acquired with a very different solar elevation angle (T4-S; 72%). The largest proportion was found in the image acquired under cloud (T3-C; 89%). This increase in the proportion of pixels was due to increasing noise in the spectrum and is consistent with measurements of amounts of noise made from the imagery. The increase in the proportion of pixels having a depth threshold of less than 0.95 was greater in imagery acquired under cloud. The likely cause of this is the reduction in the solar irradiance curve towards longer wavelengths, thus decreasing the signal-to-noise ratio to the extent that noise caused some parts of the spectrum to extend below the threshold of 0.95. This effect, when combined with changes in the parameters of absorption features, degraded the spatial patterns of clay absorption in imagery acquired under cloud (Figure 7). The depth threshold largely excluded spurious absorption features caused by noise at wavelengths > 2250 nm in the image acquired under optimal conditions (T1-S). It was not, however, effective in removing these features in the image acquired under cloud T3-C. Spurious absorptions were also found in the image acquired under very different solar elevation angles (T4-S); the depth threshold was partially successful in excluding these. As a consequence of changes in solar elevation angles, compared to other images T4-S had a greater proportion of shade in some parts of the image. The partial success of the depth threshold reflected the partitioning of the data into areas of the mine face which were directly lit and shaded. The depth threshold was able to exclude pixels in areas which were directly illuminated but not pixels in areas of shade (and hence a smaller signal-to-noise ratio). Clearly, more sophisticated methods of detecting “true” or coherent absorption features need to be developed which do not rely on a simple depth threshold.

AFE was selected to map clay minerals because absorption feature parameters can be directly related to certain aspects of mineralogy and because it requires no spectral library or a priori knowledge of any particular mine face. Moreover, the shape of the SWIR spectral curve is largely determined by the composite suite of spectral features present. In this way, changes in absorption feature parameters in response to changing conditions of illumination can have a profound effect on spectral curve shape. Such changes have the potential to cause significant changes to the spectral curve independent of mineralogy, thus potentially reducing the efficacy of techniques of classification which rely solely on the use of a spectral library. The results of this study indicate that changes in illumination conditions can introduce spurious absorption features into spectra and change the absorption feature parameters wavelength position, depth and width. These effects are greatest for data acquired under conditions of cloud. Nevertheless, when acquired under suitable conditions, hyperspectral data can be used to map and quantify clay layers on vertical geological surfaces. This represents a significant step towards incorporating meaningful information on mineralogy into models of slope stability and to provide information to spatially separate or delineate the boundaries between geological units of similar visual or spectral appearance.

5. Conclusions

Using the automated feature extraction (AFE) method, the distribution, identity and abundance of clay minerals could be mapped on the mine face without the use of a spectral library, enabling thin layers of clay, to be distinguished and mapped. The ability to rapidly quantify aspects of mineralogy from short-wave infrared (SWIR) absorption features, without the use of a spectral library and without a priori knowledge is of significance to mining corporations and government organizations interested in mitigating risks of slope failure. This study has shown that even thin layers of clay can be mapped from hyperspectral imagery acquired in the field.

The spatial distribution of the clay layers as mapped by AFE was largely consistent for images acquired under direct solar illumination. Changes in absorption feature parameters associated with specific mineral absorption features occurred in all images, but by far the largest changes occurred in the image acquired under cloud. The proportion of pixels determined by AFE to have absorption features (i.e., had a hull quotients reflectance less than 0.95) increased from 38%, under direct solar illumination, to 89%, under cloudy conditions. Changing conditions of illumination caused by cloud cover can therefore change the conclusions drawn from maps of mineral distribution derived from hyperspectral imagery acquired in the field. This finding underlines the importance of acquiring data under direct solar illumination where spatial patterns are to be mapped from absorption feature parameters.

Furthermore, residual atmospheric absorption features combined with an increase in noise towards longer wavelengths resulted in spurious absorption features being found at wavelengths longer than 2250 nm, with a modal peak at 2276 nm in imagery acquired under cloud. This finding has implications for quantifying SWIR absorption features, particularly when located towards longer wavelengths, from imagery acquired from field-based platforms.

This study is unique in the context of hyperspectral imagery acquired from field-based platforms, in that it characterizes detailed changes in mineral absorption feature parameters in response to changes in illumination. The findings from this study show that absorption feature parameters can change in response to changing illumination conditions. Changes in the parameters of individual absorption features together with the introduction of spurious absorption features towards longer wavelengths can have a significant impact upon the general shape of the SWIR spectral curve. Thus, the changes in feature parameters highlighted by this study also have implications for mapping minerals using spectral libraries using SAM or other spectral matching algorithms.

It is clear from this study that residual atmospheric absorption features and increased noise towards longer wavelengths can affect hyperspectral imagery acquired from field based platforms. The overarching conclusion of this study is that hyperspectral imagery acquired in the field, when used to quantify SWIR absorption features, should be collected under direct solar illumination. The rapidly expanding field of field-based remote sensing would benefit significantly from an assessment of the relative efficacies of different approaches to calibration such as the empirical line method (using two calibration panels of different brightness) and atmospheric modeling using information contained within the data themselves.

Acknowledgments

This work has been supported by the Rio Tinto Centre for Mine Automation and the Australian Center for Field Robotics. The authors are grateful to Dr Andres Hernandez for his assistance in the laboratory.

Author Contributions

Richard Murphy was the principal investigator and was responsible for conceiving and designing the experiments, analyzing the data and preparing the manuscript. Sven Schneider and Sildomar Monteiro acquired the data and provided input into aspects of the data analysis.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Images showing context of geological units within the mine face. (a) Location of observed clay shale bands (shown as arrows) and their relationship to geological units on the mine face: Major layers of clay which mark the boundaries of geological units are indicated (CL2, CL3) by dotted yellow lines. Clay layer 1 (CL1) extends beyond the borders of the image and its boundary with geological unit “A” is shown as a solid yellow line. Banded Iron Formation (A and D); Whaleback shale (B), Black shale (C). See Table 2 for details. Geological units not delineated by discrete layers of clay are shown as solid lines. Spatial image subsets (Subsets 1 and 2) used in this study are shown by the dashed green rectangles; (b) Location of plots from which samples taken for XRD analysis and laboratory spectroscopy.
Figure 1. Images showing context of geological units within the mine face. (a) Location of observed clay shale bands (shown as arrows) and their relationship to geological units on the mine face: Major layers of clay which mark the boundaries of geological units are indicated (CL2, CL3) by dotted yellow lines. Clay layer 1 (CL1) extends beyond the borders of the image and its boundary with geological unit “A” is shown as a solid yellow line. Banded Iron Formation (A and D); Whaleback shale (B), Black shale (C). See Table 2 for details. Geological units not delineated by discrete layers of clay are shown as solid lines. Spatial image subsets (Subsets 1 and 2) used in this study are shown by the dashed green rectangles; (b) Location of plots from which samples taken for XRD analysis and laboratory spectroscopy.
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Figure 2. Mean pixel values (n = 120) over homogenous dark and bright targets, divided by their variance as a measure of the relative amount of noise across replicate images: (a) data from 15% reflective Spectralon; (b) data from ∼80% reflective Teflon. Larger and smaller values indicate, respectively, that noise comprised a smaller or larger component of the overall signal.
Figure 2. Mean pixel values (n = 120) over homogenous dark and bright targets, divided by their variance as a measure of the relative amount of noise across replicate images: (a) data from 15% reflective Spectralon; (b) data from ∼80% reflective Teflon. Larger and smaller values indicate, respectively, that noise comprised a smaller or larger component of the overall signal.
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Figure 3. Schematic representation of the method used to extract feature parameters wavelength position, depth and width from the deepest absorption feature in the spectrum: (a) reflectance spectrum of kaolinite showing large absorption at ∼2200 nm and a smaller absorption at ∼2300 nm. The continuum is defined as a series of straight line segments (dotted line); (b) the same spectrum after removal of the continuum by dividing the reflectance by the continuum at each wavelength. The short- and long-wave limits of the feature were automatically determined. Feature depth was calculated as 1 minus the hull quotients reflectance at the deepest point of the absorption. Feature width was interpolated at half the feature depth. Wavelength position was determined by the quadratic method (Rodger et al., 2012 [31]). The three bands used as input into the quadratic equations are located at the feature minimum (λmax) and bands to its left (λmax − 1) and right (λmax + 1). Features are parameterized only if they have a hull quotients reflectance which is less than the depth threshold (DT; horizontal blue line).
Figure 3. Schematic representation of the method used to extract feature parameters wavelength position, depth and width from the deepest absorption feature in the spectrum: (a) reflectance spectrum of kaolinite showing large absorption at ∼2200 nm and a smaller absorption at ∼2300 nm. The continuum is defined as a series of straight line segments (dotted line); (b) the same spectrum after removal of the continuum by dividing the reflectance by the continuum at each wavelength. The short- and long-wave limits of the feature were automatically determined. Feature depth was calculated as 1 minus the hull quotients reflectance at the deepest point of the absorption. Feature width was interpolated at half the feature depth. Wavelength position was determined by the quadratic method (Rodger et al., 2012 [31]). The three bands used as input into the quadratic equations are located at the feature minimum (λmax) and bands to its left (λmax − 1) and right (λmax + 1). Features are parameterized only if they have a hull quotients reflectance which is less than the depth threshold (DT; horizontal blue line).
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Figure 4. Histograms of feature parameters for the deepest absorption feature in the spectrum, derived from pixels in Subset 1. Black and grey bars, respectively, represent pixels whose feature parameters have been derived with or without use of a depth threshold (set at 0.95).
Figure 4. Histograms of feature parameters for the deepest absorption feature in the spectrum, derived from pixels in Subset 1. Black and grey bars, respectively, represent pixels whose feature parameters have been derived with or without use of a depth threshold (set at 0.95).
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Figure 5. Hull quotients and reflectance spectra extracted from images T1-S and T3-C. Spectra (n = 10) were randomly-selected from a population of pixels identified as having a wavelength of 2276 nm in image T3-C. (a) Hull quotients spectra are of the same pixels from images T1-S and T3-C. The horizontal dashed line is the value of the depth threshold set for the extraction of absorption features; (b) Example reflectance spectra taken from (a), before and after smoothing. The vertical dashed lines delineate the spectral range over which the continuum was removed prior to automated feature extraction (AFE). Note the absence of coherent absorption features in smoothed and unsmoothed spectra from image T1-S.
Figure 5. Hull quotients and reflectance spectra extracted from images T1-S and T3-C. Spectra (n = 10) were randomly-selected from a population of pixels identified as having a wavelength of 2276 nm in image T3-C. (a) Hull quotients spectra are of the same pixels from images T1-S and T3-C. The horizontal dashed line is the value of the depth threshold set for the extraction of absorption features; (b) Example reflectance spectra taken from (a), before and after smoothing. The vertical dashed lines delineate the spectral range over which the continuum was removed prior to automated feature extraction (AFE). Note the absence of coherent absorption features in smoothed and unsmoothed spectra from image T1-S.
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Figure 6. Changes (differences) in the feature parameters wavelength position, depth and width for images T2-S, T3-C and T4-S, relative to image T1-S. Positive and negative values indicate that the parameter in question is larger or smaller than the image T1-S. Zero values indicate no change. Graphical elements of the box-plots describe various statistical attributes of the data: box boundaries (25th and 75th percentiles); thin and bold lines bisecting box (median and mean of data, respectively), whiskers (10th and 90th percentiles), filled circles (5th and 95th percentiles of the outliers).
Figure 6. Changes (differences) in the feature parameters wavelength position, depth and width for images T2-S, T3-C and T4-S, relative to image T1-S. Positive and negative values indicate that the parameter in question is larger or smaller than the image T1-S. Zero values indicate no change. Graphical elements of the box-plots describe various statistical attributes of the data: box boundaries (25th and 75th percentiles); thin and bold lines bisecting box (median and mean of data, respectively), whiskers (10th and 90th percentiles), filled circles (5th and 95th percentiles of the outliers).
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Figure 7. Images of absorption feature parameters, wavelength position, depth and width for Subset 1 (see Figure 1 for context) of images acquired under different conditions of illumination. Pixel spectra which had a minimal hull-quotients reflectance value of 0.95 or less were considered to have a coherent absorption feature. The feature parameters of these pixels were then calculated by the AFE algorithm; all other pixels were set to zero (black pixels in the images). Color/grey-scale ramps are shown at the bottom. The arrow in the images representing depth indicates an area of intense absorption by clay minerals (see text for details).
Figure 7. Images of absorption feature parameters, wavelength position, depth and width for Subset 1 (see Figure 1 for context) of images acquired under different conditions of illumination. Pixel spectra which had a minimal hull-quotients reflectance value of 0.95 or less were considered to have a coherent absorption feature. The feature parameters of these pixels were then calculated by the AFE algorithm; all other pixels were set to zero (black pixels in the images). Color/grey-scale ramps are shown at the bottom. The arrow in the images representing depth indicates an area of intense absorption by clay minerals (see text for details).
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Figure 8. Maps of clay absorption features showing the location of clay layers over the entire mine face. Data are for the deepest absorption feature in each pixel spectrum within the depth threshold (0.95), pixels which do not have absorption features within this threshold are shown as grey-scale values of reflectance at 2029 nm. (a) Wavelength position; (b) Depth. Location of clay layers mapped by AFE but not observed in the field are indicated by arrows in (a).
Figure 8. Maps of clay absorption features showing the location of clay layers over the entire mine face. Data are for the deepest absorption feature in each pixel spectrum within the depth threshold (0.95), pixels which do not have absorption features within this threshold are shown as grey-scale values of reflectance at 2029 nm. (a) Wavelength position; (b) Depth. Location of clay layers mapped by AFE but not observed in the field are indicated by arrows in (a).
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Figure 9. Reflectance (1998–2404 nm) and hull-quotients (HQ; 2041–2337 nm) spectra from hyperspectral imagery acquired in the laboratory and in the field. Spectra acquired in the laboratory are average spectra from the rock samples acquired from the mine face (n = 1000). Spectra acquired in the field are average spectra for pixels over each sampled plot in the imagery (n = 224). See Figure 1 for locations of Plots). Note that the hull quotients spectra have been constrained to the spectral region over which the continuum was removed prior to AFE (2041–2337 nm). The broken horizontal line in the hull-quotients plots is the threshold; only features which extend below this line were considered for parameterization by AFE (see text for details).
Figure 9. Reflectance (1998–2404 nm) and hull-quotients (HQ; 2041–2337 nm) spectra from hyperspectral imagery acquired in the laboratory and in the field. Spectra acquired in the laboratory are average spectra from the rock samples acquired from the mine face (n = 1000). Spectra acquired in the field are average spectra for pixels over each sampled plot in the imagery (n = 224). See Figure 1 for locations of Plots). Note that the hull quotients spectra have been constrained to the spectral region over which the continuum was removed prior to AFE (2041–2337 nm). The broken horizontal line in the hull-quotients plots is the threshold; only features which extend below this line were considered for parameterization by AFE (see text for details).
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Figure 10. Single pixel spectra (grey lines) and their averages (n = 9; black lines) of the 4 most frequently occurring absorption features found by AFE on the mine face: Kaolinite (2196 nm and 2202 nm), Nontronite (2288 nm) and Fe-smectite (2233 nm). Note that the deepest absorption for Fe-smectite is at 2233 nm after removal of the spectral continuum (indicated by arrow).
Figure 10. Single pixel spectra (grey lines) and their averages (n = 9; black lines) of the 4 most frequently occurring absorption features found by AFE on the mine face: Kaolinite (2196 nm and 2202 nm), Nontronite (2288 nm) and Fe-smectite (2233 nm). Note that the deepest absorption for Fe-smectite is at 2233 nm after removal of the spectral continuum (indicated by arrow).
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Table 1. Description of geological units and location of plots shown in Figure 1.
Table 1. Description of geological units and location of plots shown in Figure 1.
Geological UnitPlotDescription
CL11Clay layer, >5 m—thick, green-orange in color
A2,3Banded Iron Formation comprising hematite and Quartz, red in color
CL24Clay layer, ∼20 cm—thick, cream in color
B5Whaleback shale, more mineralized than A, comprising hematite and goethite with small amounts of quartz, red-orange in color
CL37Clay layer, ∼80 cm—thick, white to cream in color
C6Black shale, rich in clinochlore and vermiculite
D-Banded iron formation, red in color
Table 2. Conditions of illumination under which images were acquired.
Table 2. Conditions of illumination under which images were acquired.
ImageLocal TimeSolar ElevationSolar ZenithSolar AzimuthIllumination Condition
T1-S10:5775.614.482Direct sunlight
T2-S11:1880.49.675.6Direct sunlight
T3-C11:5186.93.130.3Cloud
T4-S12:2882.47.6289.4Direct sunlight
Table 3. Average values of mean/variance (1948–2404 nm) from a bright (teflon) and dark (spectralon) target, indicative of the relative amounts of noise in each image. Note smaller values represent greater amounts of noise.
Table 3. Average values of mean/variance (1948–2404 nm) from a bright (teflon) and dark (spectralon) target, indicative of the relative amounts of noise in each image. Note smaller values represent greater amounts of noise.
ImageSpectralon (15%)Teflon (∼80%)
T1-S0.272.70
T2-S0.282.46
T3-C0.241.26
T4-S0.271.38
Table 4. Differences between T1-S and successive images (T2-S, T3-C and T4-S) in wavelength position, depth and width of absorption features at 2196 nm, 2202 nm (associated with kaolinite) and 2288 nm (associated with nontonite). (a) mean differences; for all parameters. Parameters derived from T1-S were subtracted from each image therefore positive and negative values indicate that a parameter derived from the indicated image was, respectively, greater or smaller than T1-S; (b) means absolute differences.
Table 4. Differences between T1-S and successive images (T2-S, T3-C and T4-S) in wavelength position, depth and width of absorption features at 2196 nm, 2202 nm (associated with kaolinite) and 2288 nm (associated with nontonite). (a) mean differences; for all parameters. Parameters derived from T1-S were subtracted from each image therefore positive and negative values indicate that a parameter derived from the indicated image was, respectively, greater or smaller than T1-S; (b) means absolute differences.
(a)(b)


WavelengthWavelength


Image2196 nm2202 nm2288 nmImage2196 nm2202 nm2288 nm
T2-S6.3283.466−8.393T2-S8.68511.18811.233
T3-C26.67435.097−16.673T3-C29.73741.52119.687
T4-S11.93214.037−15.848T4-S14.53721.10517.978
(a)(b)


DepthDepth


Image2196 nm2202 nm2288 nmImage2196 nm2202 nm2288 nm
T2-S0.0080.0090.002T2-S0.0160.0160.018
T3-C0.0450.0600.010T3-C0.0480.0620.029
T4-S0.0110.014−0.001T4-S0.0190.0210.021


WidthWidth


Image2196 nm2202 nm2288 nmImage2196 nm2202 nm2288 nm
T2-S7.79510.632−2.319T2-S13.92021.49813.835
T3-C−7.248−9.04523.986T3-C22.05530.51230.478
T4-S0.4420.64214.449T4-S15.48423.68322.814
Table 5. Average amounts (% weight) of minerals detected by XRD in replicate samples in each plot (see Figure 1; Table 2). D indicates mineral was detected but not quantified.
Table 5. Average amounts (% weight) of minerals detected by XRD in replicate samples in each plot (see Figure 1; Table 2). D indicates mineral was detected but not quantified.
Plot Number/MineralPlot 1Plot 2Plot 3Plot 4Plot 5Plot 6Plot 7
Amorphous25.252.142.027.563.8343.2513
Clinochlore-----36.5
Goethite60.5---22.75--
Hematite5.335.3649.4438.6856.5--
Kaolinite3.88-0.6253.8-1.6387
NontroniteD------
Quartz2.6862.247.86-6.280.25-
Number of samples4555442

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Murphy, R.J.; Schneider, S.; Monteiro, S.T. Mapping Layers of Clay in a Vertical Geological Surface Using Hyperspectral Imagery: Variability in Parameters of SWIR Absorption Features under Different Conditions of Illumination. Remote Sens. 2014, 6, 9104-9129. https://doi.org/10.3390/rs6099104

AMA Style

Murphy RJ, Schneider S, Monteiro ST. Mapping Layers of Clay in a Vertical Geological Surface Using Hyperspectral Imagery: Variability in Parameters of SWIR Absorption Features under Different Conditions of Illumination. Remote Sensing. 2014; 6(9):9104-9129. https://doi.org/10.3390/rs6099104

Chicago/Turabian Style

Murphy, Richard J., Sven Schneider, and Sildomar T. Monteiro. 2014. "Mapping Layers of Clay in a Vertical Geological Surface Using Hyperspectral Imagery: Variability in Parameters of SWIR Absorption Features under Different Conditions of Illumination" Remote Sensing 6, no. 9: 9104-9129. https://doi.org/10.3390/rs6099104

APA Style

Murphy, R. J., Schneider, S., & Monteiro, S. T. (2014). Mapping Layers of Clay in a Vertical Geological Surface Using Hyperspectral Imagery: Variability in Parameters of SWIR Absorption Features under Different Conditions of Illumination. Remote Sensing, 6(9), 9104-9129. https://doi.org/10.3390/rs6099104

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