Long-Range Inhibition in Reaction-Diffusion Algorithms Designed for Edge Detection and Stereo Disparity Detection

The present paper demonstrates the significance of long-range inhibition in reaction-diffusion algorithms designed for edge detection and stereo disparity detection. In early visual systems, the long-range inhibition plays an important role in brightness perception. The most famous illusory perception due to the long-range inhibition is the Mach bands effect, which is observed in a visual system of an animal and also in the human visual system. The long-range inhibition also appears in the computer vision algorithm utilising the difference of two Gaussian filters for edge detection. Upon evidence implying analogy between brightness perception and stereo depth perception, several psychologists have suggested that such the long-range inhibition works not only in the brightness perception, but also in the depth perception. We previously proposed biologically motivated reaction-diffusion algorithms designed for edge detection and stereo disparity detection. Thus, we show that the long-range inhibition also plays an important role in both of the reaction-diffusion algorithms through experimental study. Results of the study provide a new idea of improving performance of the reaction-diffusion stereo algorithm.

[1]  Steven W. Zucker,et al.  Local Scale Control for Edge Detection and Blur Estimation , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[3]  Hidetoshi Miike,et al.  Stationary pattern formation in a discrete excitable system with strong inhibitory coupling. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Takeo Kanade,et al.  A Cooperative Algorithm for Stereo Matching and Occlusion Detection , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  Ian P. Howard,et al.  A Craik-O'Brien-Cornsweet illusion for visual depth , 1978, Vision Research.

[6]  S. Kondo,et al.  A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus , 1995, Nature.

[7]  H. K. Hartline,et al.  INHIBITION IN THE EYE OF LIMULUS , 1956, The Journal of general physiology.

[8]  K. A. Stevens,et al.  The Analogy between Stereo Depth and Brightness , 1989, Perception.

[9]  An Luo,et al.  An intensity-based cooperative bidirectional stereo matching with simultaneous detection of discontinuities and occlusions , 1995, International Journal of Computer Vision.

[10]  Sudeep Sarkar,et al.  Robust Visual Method for Assessing the Relative Performance of Edge-Detection Algorithms , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[12]  V. I. Krinsky,et al.  Image processing using light-sensitive chemical waves , 1989, Nature.

[13]  R. Barlow,et al.  Mach bands in the lateral eye of Limulus , 1975, The Journal of general physiology.

[14]  D Marr,et al.  Cooperative computation of stereo disparity. , 1976, Science.

[15]  A. Turing The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[16]  J. Koenderink The structure of images , 2004, Biological Cybernetics.

[17]  H. Meinhardt,et al.  A theory of biological pattern formation , 1972, Kybernetik.

[18]  J. Timmer,et al.  Supporting Online Material Material and Methods , 2022 .

[19]  Hidetoshi Miike,et al.  Reaction–diffusion algorithm for stereo disparity detection , 2009, Machine Vision and Applications.

[20]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[21]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[22]  Hidetoshi Miike,et al.  Disparity Estimation From Stereo Images With Multilayered Reaction-Diffusion Models Of Activation-Inhibition Mechanism , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[23]  Richard Szeliski,et al.  A Taxonomy and Evaluation of Dense Two-Frame Stereo Correspondence Algorithms , 2001, International Journal of Computer Vision.

[24]  Guillermo Sapiro,et al.  Robust anisotropic diffusion , 1998, IEEE Trans. Image Process..