A unified space decomposition formulation of iterative methods in image deconvolution

Author

Nadar, Mariappan S. ; Hunt, Bobbgr R. ; Sementilli, Philip J.

Author_Institution

Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA

Volume

1

fYear

1994

fDate

13-16 Nov 1994

Firstpage

46

Abstract

Multiresolution methods have played a prominent role in image processing since the early eighties. Concurrently, multigrid methods have gained wide acceptance in numerical methods. These two concepts are similar in certain aspects. In this paper, we discuss these similarities in the context of image deconvolution problems. A unified space decomposition formulation linking multiresolution and multigrid methods is presented. In addition, certain earlier deconvolution schemes based on background-detail methods, Grenander´s method of sieves etc. are interpreted as variations based on this common formulation

Keywords

deconvolution; differential equations; image processing; iterative methods; numerical analysis; Grenander´s method of sieves; background-detail methods; image deconvolution; image processing; iterative methods; multigrid methods; multiresolution methods; numerical methods; unified space decomposition formulation; Deconvolution; Degradation; Equations; Image processing; Image resolution; Inverse problems; Iterative methods; Multigrid methods; Optical computing; Optical imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference

Conference_Location

Austin, TX

Print_ISBN

0-8186-6952-7

Type

conf

DOI

10.1109/ICIP.1994.413272

Filename

413272