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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Links Between Image Segmentation Based on Optimum-Path Forest and Minimum Cut in Graph

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Author(s):
Miranda, Paulo A. V. [1] ; Falcao, Alexandre X. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Inst Comp, LIV, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of Mathematical Imaging and Vision; v. 35, n. 2, p. 128-142, OCT 2009.
Web of Science Citations: 35
Abstract

Image segmentation can be elegantly solved by optimum-path forest and minimum cut in graph. Given that both approaches exploit similar image graphs, some comparative analysis is expected between them. We clarify their differences and provide their comparative analysis from the theoretical point of view, for the case of binary segmentation (object/background) in which hard constraints (seeds) are provided interactively. Particularly, we formally prove that some optimum-path forest methods from two distinct region-based segmentation paradigms, with internal and external seeds and with only internal seeds, indeed minimize some graph-cut measures. This leads to a proof of the necessary conditions under which the optimum-path forest algorithm and the min-cut/max-flow algorithm produce exactly the same segmentation result, allowing a comparative analysis between them. (AU)

FAPESP's process: 07/52015-0 - Approximation methods for visual computing
Grantee:Jorge Stolfi
Support Opportunities: Research Projects - Thematic Grants