Vector model for mapping of visual space to subjective 4-D sphere

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Matuzevicius, Dalius^1,2 ; Vaitkevicius, Henrikas^1

Department of General Psychology, Faculty of Philosophy, Vilnius University, Universiteto str. 9/1, Vilnius, Lithuania^1

Department of Electronic Systems, Faculty of Electronics, Vilnius Gediminas Technical University, Naugarduko str. 41-413, Vilnius, Lithuania^2

关键词: Physical world;    Receptive fields;    Subjective perceptions;    Vector models;    Vector representations;    Visual space;    Weighting coefficient;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012124/pdf
DOI  :  10.1088/1742-6596/490/1/012124

来源: IOP

【 摘 要 】

Here we present a mathematical model of binocular vision that maps a visible physical world to a subjective perception of it. The subjective space is a set of 4-D vectors whose components are outputs of four monocular neurons from each of the two eyes. Monocular neurons have one of the four types of concentric receptive fields with Gabor-like weighting coefficients. Next this vector representation of binocular vision is implemented as a pool of neurons where each of them is selective to the object's particular location in a 3-D visual space. Formally each point of the visual space is being projected onto a 4-D sphere. Proposed model allows determination of subjective distances in depth and direction, provides computational means for determination of Panum's area and explains diplopia and allelotropia.