Title
An Algorithm Based on Augmented Lagrangian Method for Generalized Gradient Vector Flow Computation.
Abstract
We propose a novel algorithm for the fast computation of generalized gradient vector flow (GGVF) whose high cost of computation has restricted its potential applications on images with large size. We reformulate the GGVF problem as a convex optimization model with equality constraint. Our approach is based on a variable splitting method to obtain an equivalent constrained optimization formulation, which is then addressed with the inexact augmented Lagrangian method (IALM). To further enhance the computational efficiency, IALM is incorporated in a multiresolution approach. Experiments on a set of images with a variety of sizes show that the proposed method can improve the computational speed of the original GGVF by one or two order of magnitude, and is comparable with the multigrid GGVF (MGGVF) method in terms of the computational efficiency.
Year
DOI
Venue
2012
10.1007/978-3-642-33506-8_22
PATTERN RECOGNITION
Keywords
Field
DocType
Generalized gradient vector flow,convex optimization,augmented Lagrangian method,multiresolution method
Gradient method,Algorithm,Augmented Lagrangian method,Vector flow,Order of magnitude,Convex optimization,Multigrid method,Mathematics,Computation,Constrained optimization
Conference
Volume
ISSN
Citations 
321
1865-0929
0
PageRank 
References 
Authors
0.34
15
5
Name
Order
Citations
PageRank
Dongwei Ren110312.26
Wangmeng Zuo23833173.11
Xiaofei Zhao380.84
Hongzhi Zhang412219.79
David Zhang500.34