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 language | English |
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Pages (from-to) | 373-379 |
Number of pages | 7 |
Journal | Biological Cybernetics |
Volume | 64 |
Issue number | 5 |
DOIs | |
State | Published - Mar 1991 |