2019/10/31 by Marcelo Bertalmı́o, Marcelo Bertalmío, Luca Calatroni +3 · 13 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · Psychology · #Advanced Fluorescence Microscopy Techniques #Artificial intelligence #Cognitive psychology #Computer science #Computer vision #Contrast (vision) #Geometry #Grating #Illusion #Illusory contours #Image (mathematics) #Inpainting #Mathematics #Neural dynamics and brain function #Neuroscience #Optical illusion #Orientation (vector space) #Perception #Psychology #Representation (politics) #Set (abstract data type) #Visual cortex #Visual perception #Visual perception and processing mechanisms #Visual processing #cs.CV #math.OC
paper · pdf · doi:10.1007/s10851-020-00960-x
published in Journal of Mathematical Imaging and Vision 63(2), 263-281 (Springer Science+Business Media) · This is the revised extended invited journal version of the SSVM 2019 conference proceeding arXiv:1812.07425
openalex publication_date 2020/06/11 · openalex created_date 2020/06/19 · arxiv created 2020/07/17 · arxiv updated 2020/07/20 · openalex updated_date 2026/08/06
We consider the evolution model proposed in [9, 6] to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and differences with the widely used Wilson-Cowan equations [48], mainly in terms of efficient representation properties. Then, in order to explicitly encode local directional information, we exploit the model of the primary visual cortex (V1) proposed in [20] and largely used over the last years for several image processing problems [24,38,28]. The resulting model is thus defined in the space of positions and orientation and it is capable to describe assimilation and contrast visual bias at the same time. We report several numerical tests showing the ability of the model to reproduce, in particular, orientation-dependent phenomena such as grating induction and a modified version of the Poggendorff illusion. For this latter example, we empirically show the existence of a set of threshold parameters differentiating from inpainting to perception-type reconstructions and describing long-range connectivity between different hypercolumns in V1.