A REGULARIZED DUAL-BASED ITERATIVE METHOD FOR A CLASS OF IMAGE-RECONSTRUCTION PROBLEMS

Authors
IUSEM AN TEBOULLE M
Citation
An. Iusem et M. Teboulle, A REGULARIZED DUAL-BASED ITERATIVE METHOD FOR A CLASS OF IMAGE-RECONSTRUCTION PROBLEMS, Inverse problems, 9(6), 1993, pp. 679-696
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
9
Issue
6
Year of publication
1993
Pages
679 - 696
Database
ISI
SICI code
0266-5611(1993)9:6<679:ARDIMF>2.0.ZU;2-T
Abstract
An iterative method for a class of image reconstruction problems which lead to large scale optimization problems is presented. The method us es a regularization of the objective functional and is based on its du al formulation which is a semi-separable convex minimization problem w ith linear constraints, where the function to be minimized is the sum of a Burg's entropy and a quadratic function. From the special structu re of this new formulation in combination with a Bregman type method, a computationally attractive algorithm emerges and its convergence pro perties are proved.