A space-variant differential operator for visual sensitivity

Alan L. Stewart, Roger Pinkham

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

All the elements of a Fourier analysis can be derived from the experiments of Graham and Robson on contrast sensitivity. Once their experiment is posed as an eigenvalue problem, a complete orthonormal set of eigenfunctions results from solving the associated differential equation. Neither sine and cosine nor Gabor functions result. Instead, the Hermite functions arise as the eigenfunctions of a space-variant differential operator used to model the contrast sensitivity of human observers. These functions, up to a constant, are their own Fourier transforms, and in principle can be used to exactly represent the Fourier transform of naturally occuring visual images.

Original languageEnglish
Pages (from-to)373-379
Number of pages7
JournalBiological Cybernetics
Volume64
Issue number5
DOIs
StatePublished - Mar 1991

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