Title
Learning a nonlinear distance metric for supervised region-merging image segmentation
Abstract
In this paper a novel region-merging image segmentation approach is presented. This approach is based on a two-step procedure: a distance metric is learned from some features on the image, then a piecewise approximation function for the Mumford-Shah model is optimized by this metric. The global optimum of the approximation function is inductively achieved under high polynomial terms of the Mahalanobis distance, extracting the nonlinear features of the pattern distributions into topological maps. The penalizer terms of the Mumford-Shah equation are based on new similarity criteria, computed from the topological maps and the class label information. The results we obtained show a better discrimination of object boundaries and the location of regions when compared with the conventional Mumford-Shah algorithm, even when supplied with other well-known similarity functions. A quantitative objective evaluation of the proposed approach was performed in order to compute the quality of the obtained results.
Year
DOI
Venue
2011
10.1016/j.cviu.2010.09.006
Computer Vision and Image Understanding
Keywords
Field
DocType
distance metric,mumford-shah equation,mahalanobis distance,mumford–shah model,image segmentation,approximation function,mumford-shah model,image segmentation approach,nonlinear distance,distance metric learning,supervised region-merging image segmentation,conventional mumford-shah algorithm,topological map,new similarity criterion,global optimization
Polynomial,Function approximation,Metric (mathematics),Image processing,Mahalanobis distance,Image segmentation,Artificial intelligence,Piecewise,Computer vision,Topology,Global optimization,Pattern recognition,Mathematics
Journal
Volume
Issue
ISSN
115
2
Computer Vision and Image Understanding
Citations 
PageRank 
References 
6
0.45
27
Authors
3
Name
Order
Citations
PageRank
Antonio Carlos Sobieranski1114.23
Eros Comunello26615.04
Aldo von Wangenheim320949.44