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Updated: Sep 24, 2026

Visualizing Visual Adaptation
Published on: April 24, 2017
A space-variant differential operator for visual sensitivity
1Stevens Institute of Technology, Hoboken, NJ 07030.
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 occurring visual images.
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