Title
Geometric Approach to Measure-Based Metric in Image Segmentation
Abstract
The Mumford-Shah functional and related algorithms for image segmentation involve a tradeoff between a two-dimensional image structure and one-dimensional parametric curves (contours) that surround objects or distinct regions in the image.We propose an alternative functional that is independent of parameterization; it is a geometric functional given in terms of the surfaces representing the data and image in the feature space. The Γ-convergence technique is combined with the minimal surfaces theory to yield a global generalization of the Mumford-Shah segmentation function.
Year
DOI
Venue
2009
10.1007/s10851-008-0119-9
Journal of Mathematical Imaging and Vision
Keywords
Field
DocType
Image segmentation,Measure-based metric,Geometric functional,Gamma-convergence,Minimal surfaces
Computer vision,Feature vector,Mathematical optimization,Scale-space segmentation,Feature detection (computer vision),Image texture,Segmentation,Segmentation-based object categorization,Image segmentation,Geometric design,Artificial intelligence,Mathematics
Journal
Volume
Issue
ISSN
33
3
0924-9907
Citations 
PageRank 
References 
1
0.35
21
Authors
3
Name
Order
Citations
PageRank
Vladimir Kluzner1141.82
Gershon Wolansky2154.16
Yehoshua Y. Zeevi3610248.69