Cepstral Filtering on a Columnar Image Architecture: A Fast Algorithm for Binocular Stereo Segmentation

Many primate visual cortex architectures have a prominent feature responsible for the mixing of left and right eye visual data: ocular dominance columns represent thin (about 5-10 minutes of arc) strips of alternating left and right eye input to the brain. It is shown that such an architecture, when operated upon with a cepstral filter, provides a strong cue for binocular stereopsis. Specifically, the vector of binocular disparity may be easily identified in the output of the (columnar based) cepstral filter. This algorithm is illustrated with application to a random dot stereogram and to natural images. The authors suggest that this provides a fast algorithm for stereo segmentation, in a machine vision context. In a biological context, it may provide a computational rationale for the existence of columnar systems with regard to both ocular mixing and other visual modalities that have a columnar architecture. >

[1]  B. Julesz.  Foundations of Cyclopean Perception , 1971 .

[2]  D. Hubel,et al.  The pattern of ocular dominance columns in macaque visual cortex revealed by a reduced silver stain , 1975, The Journal of comparative neurology.

[3]  C. Tyler.  Spatial organization of binocular disparity sensitivity , 1975, Vision Research.

[4]  G. Poggio,et al.  Binocular interaction and depth sensitivity in striate and prestriate cortex of behaving rhesus monkey. , 1977, Journal of neurophysiology.

[5]  W. Nauta,et al.  Columnar distribution of cortico-cortical fibers in the frontal association, limbic, and motor cortex of the developing rhesus monkey , 1977, Brain Research.

[6]  C. K. Yuen,et al.  Theory and Application of Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  T. Poggio,et al.  A computational theory of human stereo vision , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[8]  Eric L. Schwartz,et al.  Computational anatomy and functional architecture of striate cortex: A spatial mapping approach to perceptual coding , 1980, Vision Research.

[9]  B. Julesz,et al.  A disparity gradient limit for binocular fusion. , 1980, Science.

[10]  John E. W. Mayhew,et al.  Psychophysical and Computational Studies Towards a Theory of Human Stereopsis , 1981, Artif. Intell..

[11]  Eric L. W. Grimson,et al.  From Images to Surfaces: A Computational Study of the Human Early Visual System , 1981 .

[12]  Martin A. Fischler,et al.  Computational Stereo , 1982, CSUR.

[13]  Christopher W. Tyler,et al.  Sensory processing of binocular disparity , 1983 .

[14]  J. Horton,et al.  Mapping of cytochrome oxidase patches and ocular dominance columns in human visual cortex. , 1984, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[15]  John H. R. Maunsell,et al.  The visual field representation in striate cortex of the macaque monkey: Asymmetries, anisotropies, and individual variability , 1984, Vision Research.

[16]  Eric L. Schwartz,et al.  Computer-Aided Neuroanatomy: Differential Geometry of Cortical Surfaces and an Optimal Flattening Algorithm , 1986, IEEE Computer Graphics and Applications.