Foveal scale-space and the linear increase of receptive field size as a function of eccentricity
Tony Lindeberg and Luc Florack
Technical report,
Department of Numerical Analysis and Computing Science,
Royal Institute of Technology, S-100 44 Stockholm, Sweden, Aug. 1994.
(ISRN KTH NA/P--94/27--SE)
Abstract
This paper addresses the formulation of a foveal scale-space
and its relation to the scaling property of receptive field
sizes with eccentricity.
It is shown how the notion of a fovea can be incorporated into
conventional scale-space theory leading to a foveal log-polar scale-space.
Natural assumptions about uniform treatment
of structures over scales and finite processing capacity
imply a linear increase of minimum receptive field size
as a function of eccentricity.
These assumptions are similar to the ones used for deriving
linear scale-space theory and the Gaussian receptive field model
for an idealized visual front-end.
Keywords:
fovea,
retina,
receptive field,
scale-space,
multi-scale representation,
log-polar mapping,
visual front-end,
resolution,
computer vision.
Postscript:
(342 kb)
PDF:
(378 kb)
Tony Lindeberg <tony@bion.kth.se>