Second-Order Statistics of Natural Images

Science Direct Working Paper No S1574-034X(04)70540-2

17 Pages Posted: 5 Mar 2018

See all articles by Hauke Bartsch

Hauke Bartsch

Technische Universität Berlin (TU Berlin)

Klaus Obermayer

Technische Universität Berlin (TU Berlin)

Multiple version iconThere are 2 versions of this paper

Date Written: February 2002

Abstract

Assuming adaptation of the visual cortex to its environment, we analyse the invariance structure found in natural images to explain the selective response of neurons to different modalities.We argue that the invariant structure of images can be formally expressed by dot-product kernels. After learning these kernels using natural images we show, how they can be analyzed by an eigen-sub-space analysis. In addition to localized edge detectors we found neurons that respond to changes in texture and cells that detect edge curvature. The analysis suggests new types of features neurons in primary visual cortex may be selective to.

Keywords: symmetry, edges, texture, curvature

Suggested Citation

Bartsch, Hauke and Obermayer, Klaus, Second-Order Statistics of Natural Images (February 2002). Computer Science Preprint Archive Vol. 2002, Issue 2, pp 1178-1194. Available at SSRN: https://ssrn.com/abstract=3121687

Hauke Bartsch (Contact Author)

Technische Universität Berlin (TU Berlin)

Straße des 17
Juni 135
Berlin, 10623
Germany

Klaus Obermayer

Technische Universität Berlin (TU Berlin) ( email )

Straße des 17
Juni 135
Berlin, 10623
Germany

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