Abstract
The orientation space transform is a concept that can deal with multiple oriented structures at a single location. In this paper we extend the orientation space transform to 3D images producing a 5D orientation space (x, y, z, φ, θ). We employ a tunable, orientation selective quadrature filter to detect edges and planes and a separate filter for detecting lines. We propose a multi-resolution sampling grid based on the icosahedron. We also propose a method to visualize the resulting 5D space. The method can be used in many applications like (parametric) curve and plane extraction, texture characterization and curvature estimation.
This work was partially supported by Rolling Grants program 94RG12 of the Netherlands Organization for Fundamental Research of Matter (FOM).
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
J. Bigün. Speed, frequency, and orientation tuned 3-d gabor filterbanks and their design. In Proceedings of International Conference on Pattern Recognition, ICPR, Jerusalem, pages C–184–187. IEEE Computer Society.
J. Bigün and G. H. Granlund. Optimal Orientation Detection of Linear Symmetry. In First International Conference on Computer Vision, ICCV (London), pages 433–438. IEEE Computer Society Press, June 8–11 1987.
J. Bigün, G.H. Granlund, and J. Wiklund. Multidimensional orientation estimation with applications to texture analysis and optical flow. IEEE Transaction on Pattern Analysis and Machine Intelligence, 13(8):775–790, 1991.
L. Dorst. A coordinate system for the crystal ball. Technical report, Delft University of Technology, 1980.
W.T. Freeman and E.H. Adelson. The design and use of steerable filters. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(9):891–906, September 1991.
M. van Ginkel. Image Analysis using Orientation Space based on Steerable Filters. PhD thesis, Delft University of Technology, Delft, The Netherlands, 2002.
H. Knutsson. Producing a continuous and distance preserving 5-d vector representation of 3-d orientation. In IEEE Computer Society Workshop on Computer Architecture for Pattern Analysis and Image Database Management, pages 175–182. Miami Beach, Florida, November 18–20 1985.
H. Knutsson. Representing local structure using tensors. In The 6th Scandinavian Conference in Image Analysis, pages 244–251, Oulu, Finland, June 19–22 1989.
H. Knutsson and G. H. Granlund. Fourier domain design of line and edge detectors. In Proceedings of the 5th International Conference on Pattern Recognition, Miami, Florida, December 1980.
E.B. Saff and A.B.J. Kuijlaars. Distributing many points on a sphere. the Mathematical Intelligencer, 19(1):5–11, 1997.
L.J. van Vliet. Grey-Scale Measurements in Multi-Dimensional Digitized Images. PhD thesis, Delft University of Technology, Delft, The Netherlands, October 1993.
D. Walters. Selection of image primitives for general-purpose visual processing. Computer Vision, Graphics, and Image Processing, 37:261–298, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Faas, F.G.A., van Vliet, L.J. (2003). 3D-Orientation Space; Filters and Sampling. In: Bigun, J., Gustavsson, T. (eds) Image Analysis. SCIA 2003. Lecture Notes in Computer Science, vol 2749. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45103-X_6
Download citation
DOI: https://doi.org/10.1007/3-540-45103-X_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40601-3
Online ISBN: 978-3-540-45103-7
eBook Packages: Springer Book Archive