2017
DOI: 10.1016/j.patrec.2016.07.026
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Optimum-Path Forest based on k-connectivity: Theory and applications

Abstract: Graph-based pattern recognition techniques have been in the spotlight for many years, since there is a constant need for faster and more effective approaches. Among them, the Optimum-Path Forest (OPF) framework has gained considerable attention in the last years, mainly due to the promising results obtained by OPF-based classifiers, which range from unsupervised, semi-supervised and supervised learning. In this paper, we consider a deeper theoretical explanation concerning the supervised OPF classifier with k-… Show more

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Cited by 52 publications
(30 citation statements)
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“…ISF falls in the category of graph-based algorithms as a particular case of a more general framework [11] -the Image Foresting Transform (IFT). The IFT is a framework for the design of image operators based on connectivity, such as distance and geodesic transforms, morphological reconstructions, multiscale skeletonization, image description, regionand boundary-based image segmentation methods [26], [24], [27], [28], [29], [30], [31], [32], [33], with extensions to clustering and classification [34], [35], [36], [37], [38]. As discussed in [39], by choice of the connectivity function, the IFT algorithm computes a watershed transform from a set of seeds that corresponds to a graph cut in which the minimum gradient value in the cut is maximized.…”
Section: Related Workmentioning
confidence: 99%
“…ISF falls in the category of graph-based algorithms as a particular case of a more general framework [11] -the Image Foresting Transform (IFT). The IFT is a framework for the design of image operators based on connectivity, such as distance and geodesic transforms, morphological reconstructions, multiscale skeletonization, image description, regionand boundary-based image segmentation methods [26], [24], [27], [28], [29], [30], [31], [32], [33], with extensions to clustering and classification [34], [35], [36], [37], [38]. As discussed in [39], by choice of the connectivity function, the IFT algorithm computes a watershed transform from a set of seeds that corresponds to a graph cut in which the minimum gradient value in the cut is maximized.…”
Section: Related Workmentioning
confidence: 99%
“…A new classifier that has been highlighted in the literature is a technique called Optimum-Path Forest (OPF). The OPF proposes to classify patterns using graph theory concepts [18] [19]. This approach emerged as a generalization of the Image Foresting Transform (IFT) [17].…”
Section: Introductionmentioning
confidence: 99%
“…Such samples try to conquer the remaining ones offering to them optimum-path costs, and when a sample is conquered, it receives the label of its conqueror. A new variant of the OPF classifier that makes use of a k-nearest neighborhood (k-nn) graph named OPF knn was proposed by Papa and Falcão [21,22,25], and its semi-supervised version has been presented by Amorim et al [4]. An interesting property stated by Souza et al [29] concerns that OPF is equivalent to 1-NN when all training samples are used as prototypes.…”
Section: Introductionmentioning
confidence: 99%