Computational role of eccentricity dependent cortical magnification
Name
CBMM-Memo-017.pdf
Size
1.04 MB
Format
Adobe PDF
Checksum (MD5)
5c7ec3ab4e693e84aa6e9c28c72a3b54
Author(s)
Poggio, Tomaso
Mutch, Jim
Isik, Leyla
Date Issued
June 6, 2014
Publisher
Center for Brains, Minds and Machines (CBMM), arXiv
Citation
arXiv:1406.1770v1
Series/Report no.
CBMM Memo Series;017
Abstract
We develop a sampling extension of M-theory focused on invariance to scale and translation. Quite surprisingly, the theory predicts an architecture of early vision with increasing receptive field sizes and a high resolution fovea — in agreement with data about the cortical magnification factor, V1 and the retina. From the slope of the inverse of the magnification factor, M-theory predicts a cortical “fovea” in V1 in the order of 40 by 40 basic units at each receptive field size — corresponding to a foveola of size around 26 minutes of arc at the highest resolution, ≈6 degrees at the lowest resolution. It also predicts uniform scale invariance over a fixed range of scales independently of eccentricity, while translation invariance should depend linearly on spatial frequency. Bouma’s law of crowding follows in the theory as an effect of cortical area-by-cortical area pooling; the Bouma constant is the value expected if the signature responsible for recognition in the crowding experiments originates in V2. From a broader perspective, the emerging picture suggests that visual recognition under natural conditions takes place by composing information from a set of fixations, with each fixation providing recognition from a space-scale image fragment — that is an image patch represented at a set of increasing sizes and decreasing resolutions.
Subjects
Invariance
Theories for Intelligence
Machine Learning
Vision
Terms of Use
Attribution-NonCommercial 3.0 United States
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