Adaptive multiresolution image restoration and compression

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A multiresolution image representation is proposed as a basis for constructing an approximation to an original image. The method is based on adaptive finite-elements, a technique used in applied mathematics to approximate the solution of partial differential equations while providing an adequate description of the features of the solution at different scales. Theory and experiments suggest that adaptive finite-elements is a natural and computationally-powerful approach to image approximation problems. We propose a fast multiresolution algorithm to compute the solution to the approximation problem. Applications to problems of image compression and restoration are given. We demonstrate compression of the image "Lena" by a 17:1 ratio with virtually unnoticeable degradation.

Original languageEnglish (US)
Title of host publicationCase Studies in Medical Instrument Design 1991
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages247-254
Number of pages8
ISBN (Electronic)0780306279, 9780780306271
DOIs
StatePublished - Jan 1 1991
Externally publishedYes
Event1991 Case Studies in Medical Instrument Design, MID 1991 - Orlando, United States
Duration: Oct 29 1991Oct 30 1991

Publication series

NameCase Studies in Medical Instrument Design 1991

Conference

Conference1991 Case Studies in Medical Instrument Design, MID 1991
CountryUnited States
CityOrlando
Period10/29/9110/30/91

ASJC Scopus subject areas

  • Biomedical Engineering
  • Medicine (miscellaneous)
  • Instrumentation

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    Moulin, P. (1991). Adaptive multiresolution image restoration and compression. In Case Studies in Medical Instrument Design 1991 (pp. 247-254). [664334] (Case Studies in Medical Instrument Design 1991). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MID.1991.664334