Wavelet Foveation

Ee Chien Chang, Stéphane Mallat, Chee Yap

Research output: Contribution to journalArticle

Abstract

A foveated image is a nonuniform resolution image whose resolution is highest at a point (fovea) but falls off away from the fovea. It can be obtained from a uniform image through a space-variant smoothing process, where the width of the smoothing function is small near the fovea and gradually expanding as the distance from the fovea increases. We treat this process as an integral operator and analyze its kernel. This kernel is dominated by its diagonal in the wavelet bases and thus permits a fast algorithm for foveating images. In addition, the transformed kernel takes a simple form which can be easily computed using a look-up table. This is useful, since in applications the fovea changes rapidly. We describe an application of our approximation algorithm in image visualization over the Internet.

Original languageEnglish (US)
Pages (from-to)312-335
Number of pages24
JournalApplied and Computational Harmonic Analysis
Volume9
Issue number3
DOIs
StatePublished - Oct 4 2000

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Wavelets
Optical resolving power
Approximation algorithms
Image resolution
kernel
Visualization
Internet
Smoothing Function
Wavelet Bases
Look-up Table
Integral Operator
Fast Algorithm
Smoothing
Approximation Algorithms

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Wavelet Foveation. / Chang, Ee Chien; Mallat, Stéphane; Yap, Chee.

In: Applied and Computational Harmonic Analysis, Vol. 9, No. 3, 04.10.2000, p. 312-335.

Research output: Contribution to journalArticle

Chang, Ee Chien ; Mallat, Stéphane ; Yap, Chee. / Wavelet Foveation. In: Applied and Computational Harmonic Analysis. 2000 ; Vol. 9, No. 3. pp. 312-335.
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