Steerable-scalable kernels for edge detection and junction analysis

Families of kernels that are useful in a variety of early vision algorithms may be obtained by rotating and scaling in a continuum a `template' kernel. These multi-scale multi-orientation family may be approximated by linear interpolation of a discrete nite set of appropriatèbasis' kernels. A scheme for generating such a basis together with the appropriate interpolation weights is described. Unlike previous schemes by Perona, and Simoncelli et al. it is guaranteed to generate the most parsimonious one. Additionally, it is shown how to exploit two symmetries in edge-detection kernels for reducing storage and computational costs and generating simultaneously endstop-and junction-tuned lters for free.

[1]  Edward H. Adelson,et al.  Computation Models of Visual Processing , 1991, IEEE Expert.

[2]  P Perona,et al.  Preattentive texture discrimination with early vision mechanisms. , 1990, Journal of the Optical Society of America. A, Optics and image science.

[3]  Wilson S. Geisler,et al.  Multichannel Texture Analysis Using Localized Spatial Filters , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  A. Friedman.  Foundations of modern analysis , 1970 .

[5]  Thomas O. Binford,et al.  Inferring Surfaces from Images , 1981, Artif. Intell..

[6]  D. Burr,et al.  Feature detection in human vision: a phase-dependent energy model , 1988, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[7]  M. R. Turner,et al.  Texture discrimination by Gabor functions , 1986, Biological Cybernetics.

[8]  E. Adelson,et al.  The Plenoptic Function and the Elements of Early Vision , 1991 .

[9]  Giulio Sandini,et al.  Robots and Biological Systems: Towards a New Bionics? , 2012, NATO ASI Series.

[10]  A. Pinkus.  n-Widths in Approximation Theory , 1985 .

[11]  Olaf Kübler,et al.  Simulation of neural contour mechanisms: from simple to end-stopped cells , 1992, Vision Research.

[12]  Edward H. Adelson,et al.  The Design and Use of Steerable Filters , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  G. Granlund.  In search of a general picture processing operator , 1978 .

[14]  Stéphane Mallat,et al.  Compact image representation from multiscale edges , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[15]  D. Hubel,et al.  Receptive fields of single neurones in the cat's striate cortex , 1959, The Journal of physiology.

[16]  Jitendra Malik,et al.  Detecting and localizing edges composed of steps, peaks and roofs , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[17]  Edward H. Adelson,et al.  Steerable filters for early vision, image analysis, and wavelet decomposition , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[18]  J. Marsden,et al.  Lectures on analysis , 1969 .

[19]  D. Hubel,et al.  Receptive fields, binocular interaction and functional architecture in the cat's visual cortex , 1962, The Journal of physiology.

[20]  Berthold K. P. Horn.  The Binford-Horn LINE-FINDER , 1973 .

[21]  Michael Kass,et al.  Computing Visual Correspondence , 1983 .

[22]  Hans Knutsson,et al.  Texture Analysis Using Two-Dimensional Quadrature Filters , 1983 .

[23]  Steven W. Zucker,et al.  Trace Inference, Curvature Consistency, and Curve Detection , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[24]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[25]  Robyn A. Owens,et al.  Feature detection from local energy , 1987, Pattern Recognit. Lett..

[26]  E H Adelson,et al.  Spatiotemporal energy models for the perception of motion. , 1985, Journal of the Optical Society of America. A, Optics and image science.