Title :
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
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;
Conference_Titel :
Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference
Conference_Location :
Austin, TX
Print_ISBN :
0-8186-6952-7
DOI :
10.1109/ICIP.1994.413272
