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Optimal Sampling of Natural Images: A Design Principle for the Visual System?

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We formulate the problem of optimizing the sampling of natural images using an array of linear filters. Optimization of information capacity is constrained by the noise levels of the individual channels and by a penalty for the construction of long-range interconnections in the array. At low signal-to-noise ratios the optimal filter characteristics correspond to bound states of a Schrodinger equation in which the signal spectrum plays the role of the potential. The resulting optimal filters are remarkably similar to those observed in the mammalian visual cortex and the retinal ganglion cells of lower vertebrates. The observed scale invariance of natural images plays an essential role in this construction.

Original languageEnglish (US)
Title of host publicationAdvances in Neural Information Processing Systems 3, NIPS 1990
EditorsRichard Lippmann, John E. Moody, David S. Touretzky
PublisherNeural information processing systems foundation
Pages363-369
Number of pages7
ISBN (Electronic)1558601848, 9781558601840
DOIs
StatePublished - 1990
Externally publishedYes
Event3rd Advances in Neural Information Processing Systems, NIPS 1990 - Denver, United States
Duration: Nov 26 1990Nov 29 1990

Publication series

NameAdvances in Neural Information Processing Systems
Volume3
ISSN (Print)1049-5258

Conference

Conference3rd Advances in Neural Information Processing Systems, NIPS 1990
Country/TerritoryUnited States
CityDenver
Period11/26/9011/29/90

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Information Systems
  • Computer Networks and Communications

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