Abstract

The importance of nonorthogonal basis sets for representing images is discussed. To find such a representation necessitates diagonalizing overlap matrices that contain billions of elements, even for modest image sizes (256 × 256 pixels). By standard techniques this is completely intractable. An alternative method based on the fast Fourier transform is presented. Not only is it much faster, but it fits well within existing image-processing software.

© 1994 Optical Society of America

Monochromatic modulation transfer function of the human eye for different pupil diameters: an analytical expression

Pablo Artal and Rafael Navarro
J. Opt. Soc. Am. A 11(1) 246-249 (1994)

Properties of color images of surfaces under multiple illuminants

A. P. Petrov and L. L. Kontsevich
J. Opt. Soc. Am. A 11(10) 2745-2749 (1994)

Images, statistics, and textures: implications of triple correlation uniqueness for texture statistics and the Julesz conjecture: comment

Jonathan D. Victor
J. Opt. Soc. Am. A 11(5) 1680-1684 (1994)

Fast Hankel transform of nth order

José A. Ferrari, Daniel Perciante, and Alfredo Dubra
J. Opt. Soc. Am. A 16(10) 2581-2582 (1999)

Two-dimensional model for waveguide junctions

David J. Vezzetti and Michael Munowitz
J. Opt. Soc. Am. A 11(1) 250-253 (1994)