Abstract
In this paper, we explore a novel idea of using high dynamic range (HDR) technology for uncertainty visualization. We focus on scalar volumetric data sets where every data point is associated with scalar uncertainty. We design a transfer function that maps each data point to a color in HDR space. The luminance component of the color is exploited to capture uncertainty. We modify existing tone mapping techniques and suitably integrate them with volume ray casting to obtain a low dynamic range (LDR) image. The resulting image is displayed on a conventional 8-bits-per-channel display device. The usage of HDR mapping reveals fine details in uncertainty distribution and enables the users to interactively study the data in the context of corresponding uncertainty information. We demonstrate the utility of our method and evaluate the results using data sets from ocean modeling.
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Taylor, B.N., Kuyatt, C.E.: Guidelines for evaluating and expressing the uncertainty of n.i.s.t. measurement results. Technical Note 1297, National Institute of Standards and Technology, Gaithersburg, MD, January (1993)
Cedilnik, A., Rheingans, P.: Procedural annotation of uncertain information. In: VIS ’00: Proceedings of the IEEE Conference on Visualization ’00, Los Alamitos, CA, USA, pp. 77–83. IEEE Computer Society Press, Los Alamitos (2000)
Grigoryan, G., Rheingans, P.: Point-based probabilistic surfaces to show surface uncertainty. IEEE Trans. Vis. Comput. Graph. 10(5), 564–573 (2004)
Lee, C.H., Varshney, A.: Representing thermal vibrations and uncertainty in molecular surfaces. In: In SPIE Conference on Visualization and Data Analysis, pp. 80–90 (2002)
Hengl, T.: Visualisation of uncertainty using the hsi colour model: computations with colours. In: Proceedings of the 7th International Conference on GeoComputation, CD–Rom, pp. 8–17 (2003)
Djurcilov, S., Kim, K., Lermusiaux, P., Pang, A.: Visualizing scalar volumetric data with uncertainty. Comput. Graph. 26(2), 239–248 (2002)
Sabella, P.: A rendering algorithm for visualizing 3d scalar fields. In: SIGGRAPH ’88: Proceedings of the 15th Annual Conference on Computer Graphics and Interactive Techniques, New York, NY, USA, pp. 51–58. ACM Press, New York (1988)
Yuan, X., Nguyen, M.X., Chen, B., Porter, D.H.: High dynamic range volume visualization. In: Proceedings of the IEEE Conference on Visualization 2005, pp. 327–334. IEEE Computer Society, Los Alamitos (2005)
Yuan, X., Nguyen, M.X., Chen, B., Porter, D.H.: Hdr volvis: high dynamic range volume visualization. IEEE Trans. Vis. Comput. Graph. 12, 433–445 (2006)
Johnson, C.R., Sanderson, A.R.: A next step: visualizing errors and uncertainty. IEEE Comput. Graph. Appl. 23(5), 6–10 (2003)
Pang, A., Wittenbrink, C., Lodha, S.: Approaches to uncertainty visualization. Vis. Comput. 13(8), 370–90 (1997)
Lodha, S.K., Sheehan, B., Pang, A.T., Wittenbrink, C.M.: Visualizing geometric uncertainty of surface interpolants. In: GI ’96: Proceedings of the Conference on Graphics interface ’96, Toronto, Ont., Canada, pp. 238–245. Canadian Information Processing Society, Toronto (1996)
Wittenbrink, C.M., Pang, A.T., Lodha, S.K.: Glyphs for visualizing uncertainty in vector fields. IEEE Trans. Vis. Comput. Graph. 2(3), 266–279 (1996)
Haroz, S., Ma, K.-L., Heitmann, K.: Multiple uncertainties in time-variant cosmological particle data. In: Proceedings of IEEE Pacific Visualization Symposium, pp. 207–214 (2008)
Lundström, C., Ljung, P., Persson, A., Ynnerman, A.: Uncertainty visualization in medical volume rendering using probabilistic animation. IEEE Trans. Vis. Comput. Graph. 13(6), 1648–1655 (2007)
Dinesha, V., Adabala, N., Natarajan, V.: Uncertainty visualization using hdr image maps. In: Poster Abstracts at Eurographcs/IEEE-VGTC Symposium on Visualization 2010, Eurographics, June (2010)
Sanyal, J., Zhang, S., Bhattacharya, G., Amburn, P., Moorhead, R.: A user study to compare four uncertainty visualization methods for 1d and 2d datasets. IEEE Trans. Vis. Comput. Graph. 15, 1209–1218 (2009)
Debevec, P.E., Malik, J.: Recovering high dynamic range radiance maps from photographs. In: SIGGRAPH ’97: Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, New York, NY, USA, pp. 369–378. ACM Press/Addison-Wesley, New York (1997)
Durand, F., Dorsey, J.: Interactive tone mapping. In: Proceedings of the Eurographics Workshop on Rendering Techniques 2000, London, UK, pp. 219–230. Springer, Berlin (2000)
Drago, F., Myszkowski, K., Annen, T., Chiba, N.: Adaptive logarithmic mapping for displaying high contrast scenes. Comput. Graph. Forum 22, 419–426 (2003)
Devlin, K.: Dynamic range reduction inspired by photoreceptor physiology. IEEE Trans. Vis. Comput. Graph. 11(1), 13–24 (2005)
Pizer, S.M., Amburn, E.P., Austin, J.D., Cromartie, R., Geselowitz, A., Greer, T., Romeny, B.T.H., Zimmerman, J.B.: Adaptive histogram equalization and its variations. Comput. Vis. Graph. Image Process. 39, 355–368 (1987)
Reinhard, E., Stark, M., Shirley, P., Ferwerda, J.: Photographic tone reproduction for digital images. ACM Trans. Graph. 21(3), 267–276 (2002)
Durand, F., Dorsey, J.: Fast bilateral filtering for the display of high-dynamic-range images. In: SIGGRAPH ’02: Proceedings of the 29th Annual Conference on Computer Graphics and Interactive Techniques, New York, NY, USA, pp. 257–266. ACM Press, New York (2002)
Choudhury, P., Tumblin, J.: The trilateral filter for high contrast images and meshes. In: SIGGRAPH ’05: ACM SIGGRAPH 2005 Courses, New York, NY, USA, p. 5. ACM Press, New York (2005)
Fattal, R., Lischinski, D., Werman, M.: Gradient domain high dynamic range compression. In: SIGGRAPH ’02: Proceedings of the 29th Annual Conference on Computer Graphics and Interactive Techniques, New York, NY, USA, pp. 249–256. ACM Press, New York (2002)
Ghosh, A., Trentacoste, M., Heidrich, W.: Volume rendering for high dynamic range displays. In: Volume Graphics, pp. 91–98 (2005)
Fairchild, M.D.: Color Appearance Models, Wiley-IS&T Series in Imaging Science and Technology, 2nd edn. Wiley, Chichester (2005)
Wang, L., Mueller, K.: Harmonic colormaps for volume visualization. In: IEEE/EG Symposium on Volume Graphics, pp. 33–40 (2008)
Kniss, J., Kindlmann, G., Hansen, C.: Interactive volume rendering using multi-dimensional transfer functions and direct manipulation widgets. In: VIS ’01: Proceedings of the IEEE Conference on Visualization ’01, Washington, DC, USA, pp. 255–262. IEEE Computer Society, Los Alamitos (2001)
Lermusiaux, P.F.J., Haley, P.J. Jr., Leslie, W.G., Logutov, O.G.: Mseas re-analyses for the awacs-sw06 exercise in the middle atlantic bight region, 2008. http://mseas.mit.edu/Research/AWACS/Model_Output/
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Dinesha, V., Adabala, N. & Natarajan, V. Uncertainty visualization using HDR volume rendering. Vis Comput 28, 265–278 (2012). https://doi.org/10.1007/s00371-011-0614-7
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DOI: https://doi.org/10.1007/s00371-011-0614-7