Title
Residues cluster-based segmentation and outlier-detection method for large-scale phase unwrapping.
Abstract
2-D phase unwrapping is an important technique in many applications. However, with the growth of image scale, how to tile and splice the image effectively has become a new challenge. In this paper, the phase unwrapping problem is abstracted as solving a large-scale system of inconsistent linear equations. With the difficulties of large-scale phase unwrapping analyzed, L(0)-norm criterion is found to have potentials in efficient image tiling and splicing. Making use of the clustering characteristic of residue distribution, a tiling strategy is proposed for L(0)-norm criterion. Unfortunately, L(0)-norm is an NP-hard problem, which is very difficult to find an exact solution in a polynomial time. In order to effectively solve this problem, equations corresponding to branch cuts of L(0)-norm in the inconsistent equation system mentioned earlier are considered as outliers, and then an outlier-detection-based phase unwrapping method is proposed. Through this method, a highly accurate approximate solution to this NP-hard problem is achieved. A set of experimental results shows that the proposed approach can avoid the inconsistency between local and global phase unwrapping solutions caused by image tiling.
Year
DOI
Venue
2011
10.1109/TIP.2011.2138148
IEEE Transactions on Image Processing
Keywords
Field
DocType
optimisation,large scale,$l^{0}$-norm,inconsistent system of equations,norm criterion,2-d phase unwrapping,image segmentation,np-hard problem,outlier-detection-based phase,image scale,residues cluster-based segmentation,large-scale system,efficient image tiling,global phase,inconsistent linear equations,image tiling,residue distribution,phase unwrapping (pu),large-scale phase unwrapping,outlier detection (od),2d phase unwrapping,outlier-detection method,mathematical model,linear equations,outlier detection,np hard problem,system of equations,indexing terms
Anomaly detection,Linear equation,Pattern recognition,Segmentation,Outlier,Image segmentation,Pixel,Artificial intelligence,Cluster analysis,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
20
10
1941-0042
Citations 
PageRank 
References 
8
0.55
14
Authors
3
Name
Order
Citations
PageRank
Hanwen Yu1286.84
Zhenfang Li210311.78
Zheng Bao31985155.03