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Graphical models and point pattern matching

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Graphical models and point pattern matching

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Título Graphical models and point pattern matching
Autor Caetano, Tiberio Silva
Caelli, Terry
Schuurmans, Dale
Barone, Dante Augusto Couto
Abstract This paper describes a novel solution to the rigid point pattern matching problem in Euclidean spaces of any dimension. Although we assume rigid motion, jitter is allowed. We present a noniterative, polynomial time algorithm that is guaranteed to find an optimal solution for the noiseless case. First, we model point pattern matching as a weighted graph matching problem, where weights correspond to Euclidean distances between nodes. We then formulate graph matching as a problem of finding a maximum probability configuration in a graphical model By using graph rigidity arguments, we prove that a sparse graphical model yields equivalent results to the fully connected model in the noiseless case. This allows us to obtain an algorithm that runs in polynomial time and is provably optimal for exact matching between noiseless point sets. For inexact matching, we can still apply the same algorithm to find approximately optimal solutions. Experimental results obtained by our approach show improvements in accuracy over current methods, particularly when matching patterns of different sizes.
Contido em IEEE transactions on pattern analysis and machine intelligence. New York. Vol. 28, n. 10 (Oct. 2006), p. 1646-1663
Assunto Computação gráfica
Reconhecimento : Padroes
[en] Graphical models
[en] Graph matching
[en] Junction tree algorithm
[en] Markov random fields
[en] Point pattern matching
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/27603
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