NDLI: Higher-order statistics of natural images and their exploitation by operators selective to intrinsic dimensionality

Content Provider	IEEE Xplore Digital Library
Author	Krieger, G. Zetzsche, C. Barth, E.
Copyright Year	1997
Description	Author affiliation: Inst. fur Medezine. Psychol., Ludwig-Maximilians-Univ., Munchen, Germany (Krieger, G.)
Abstract	Natural images contain considerable statistical redundancies beyond the level of second-order correlations. To identify the nature of these higher-order dependencies, we analyze the bispectra and trispectra of natural images. Our investigations reveal substantial statistical dependencies between those frequency components which are aligned to each other with respect to orientation. We argue that operators which are selective to local intrinsic dimensionality can optimally exploit such redundancies. We also show that the polyspectral structure we find for natural images helps to understand the hitherto unexplained superiority of orientation-selective filter decompositions over isotropic schemes like the Laplacian pyramid. However any essentially linear scheme can only partially exploit this higher-order redundancy. We therefore propose nonlinear i2D-selective operators which exhibit close resemblance to hypercomplex and end-stopped cells in the visual cortex. The function of these operators can be interpreted as a higher-order whitening of the input signal.
Starting Page	147
Ending Page	151
File Size	922315
Page Count	5
File Format	PDF
ISBN	0818680059
DOI	10.1109/HOST.1997.613505
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-07-21
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Higher order statistics Frequency Linear systems Neurons Psychology Image analysis Laplace equations Layout Data compression Image coding
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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