Mathematical Aspects of Image Processing and Computer Vision 2003
Yoshikazu Giga, Shuichi Izumiya, Kohichiro Deguchi · EPrints - Department of Mathematics, Hokkaido University · 2004
This talk is concerned with image processing in the visual system related to visual illusions.As known, it is widely believed that visual illusions will offer us a clue to understand how our visual system carries out information processing.From this reason, over the past 100 years, many studies have been made on the mechanisms of occurrence of visual illusions.So far, in order to study visual illusions, many researchers used psychological methods, neuroscience, neural networks or filtering, etc.In this talk, we design a computational system modeled after some functions of striate cortex in human's brain by employing both the maximal overlap multiresolution analysis with respect to a biorthogonal wavelet and some new nonlinear processing.We show several computer simulations obtained by this system.From these simulations we explain in terms of mathematics the mechanism of occurrence of several visual illusions which are produced by information processing in the pathway from the retina to the striate cortex.