The implicit convex feasibility problem and its application to adaptive image denoising

The implicit convex feasibility problem attempts to find a point in the intersection of a finite family of convex sets, some of which are not explicitly determined but may vary. We develop simultaneous and sequential projection methods capable of handling such problems and demonstrate their applicab...

Full description

Saved in:
Bibliographic Details
Main Authors: Censor, Yair (Author) , Lenzen, Frank (Author) , Schnörr, Christoph (Author)
Format: Article (Journal)
Language:English
Published: March 20, 2016
In: Journal of computational mathematics
Year: 2016, Volume: 34, Issue: 6, Pages: 610-625
ISSN:1991-7139
Online Access:Verlag, Volltext: http://www.global-sci.org/intro/article_detail.html?journal=jcm&article_id=9816
Get full text
Author Notes:Yair Censor, Aviv Gibali, Frank Lenzen and Christoph Schnörr
Description
Summary:The implicit convex feasibility problem attempts to find a point in the intersection of a finite family of convex sets, some of which are not explicitly determined but may vary. We develop simultaneous and sequential projection methods capable of handling such problems and demonstrate their applicability to image denoising in a specific medical imaging situation. By allowing the variable sets to undergo scaling, shifting and rotation, this work generalizes previous results wherein the implicit convex feasibility problem was used for cooperative wireless sensor network positioning where sets are balls and their centers were implicit
Item Description:Gesehen am 19.12.2018
Physical Description:Online Resource
ISSN:1991-7139