Application of polynomial transforms in image deblurring

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Abstract

In this paper, we present an algorithm for deblurring and interpolating digital images. Deblurring is an ill-posed problem, which can be made well-behaved by introducing assumptions about the input image. The algorithm described in this paper assumes that images can be described by local polynomial expansions. The mapping between an image and the coefficients of the polynomial approximation is called a polynomial transform. It is shown that, by using this image approximation, deblurring becomes equivalent to estimating the polynomial transform coefficients of the image. In practice, the noise and sampling of the blurred image limit the order of the coefficients that can be estimated reliably.
Original languageEnglish
Title of host publicationVisual Communications and Image Processing IV
EditorsW.A. Pearlman
Place of PublicationBellingham
PublisherSPIE
Pages655-666
VolumeIII
ISBN (Electronic)9780819402387
DOIs
Publication statusPublished - 1989
Event1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems - Philadelphia, United States
Duration: 8 Nov 198910 Nov 1989

Publication series

NameProceedings of SPIE
Volume1199
ISSN (Electronic)0277-786X

Conference

Conference1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems
CountryUnited States
CityPhiladelphia
Period8/11/8910/11/89

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