Paper Info
Title
A Splitting Method for Orthogonality Constrained Problems
Abstract
Orthogonality constrained problems are widely used in science and engineering. However, it is challenging to solve these problems efficiently due to the non-convex constraints. In this paper, a splitting method based on Bregman iteration is represented to tackle the optimization problems with orthogonality constraints. With the proposed method, the constrained problems can be iteratively solved by computing the corresponding unconstrained problems and orthogonality constrained quadratic problems with analytic solutions. As applications, we demonstrate the robustness of our method in several problems including direction fields correction, noisy color image restoration and global conformal mapping for genus-0 surfaces construction. Numerical comparisons with existing methods are also conducted to illustrate the efficiency of our algorithms.
Year
DOI
Venue
2014
10.1007/s10915-013-9740-x
J. Sci. Comput.
Keywords
DocType
Volume
orthogonality constrained problems,bregman iteration,orthogonality constraint,global conformal mapping,direction fields correction,corresponding unconstrained problem,analytic solution,splitting method,noisy color image restoration,genus-0 surfaces construction,conformal mapping
Journal
58
Issue
ISSN
Citations 
2
1573-7691
37
PageRank 
References 
Authors
1.20
28
2
Name
Order
Citations
PageRank
Rongjie Lai123919.84
Stanley Osher27973514.62