If modern computers are sometimes superior to cognition in some specialized tasks such as playing chess or
browsing a large database, they can't beat the efficiency of biological vision for such simple tasks as recognizing
a relative or following an object in a complex background. We present in this paper our attempt at outlining the
dynamical, parallel and event-based representation for vision in the architecture of the central nervous system.
We will illustrate this by showing that in a signal matching framework, a L/LN (linear/non-linear) cascade
may efficiently transform a sensory signal into a neural spiking signal and we apply this framework to a model
retina. However, this code gets redundant when using an over-complete basis as is necessary for modeling the
primary visual cortex: we therefore optimize the efficiency cost by increasing the sparseness of the code. This
is implemented by propagating and canceling redundant information using lateral interactions. We compare the
eciency of this representation in terms of compression as the reconstruction quality as a function of the coding
length. This will correspond to a modification of the Matching Pursuit algorithm where the ArgMax function is
optimized for competition, or Competition Optimized Matching Pursuit (COMP). We will particularly focus on
bridging neuroscience and image processing and on the advantages of such an interdisciplinary approach.
Efficient sparse coding of overcomplete transforms remains still an
open problem. Different methods have been proposed in the
literature, but most of them are limited by a heavy computational
cost and by difficulties to find the optimal solutions. We propose
here an algorithm suitable for Gabor wavelets and based on
biological models. It is composed by local operations between
neighboring transform coefficients and achieves a sparse
representation with a relatively low computational cost. Used with a
chain coder, this sparse Gabor wavelet transform is suitable for
image compression but is also of interest also for other
applications, in particular for edge and contour extraction and
image denoising.
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