2006
DOI: 10.1007/s11263-006-8929-y
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Discovering Shape Classes using Tree Edit-Distance and Pairwise Clustering

Abstract: Abstract. This paper describes work aimed at the unsupervised learning of shape-classes from shock trees. We commence by considering how to compute the edit distance between weighted trees. We show how to transform the tree edit distance problem into a series of maximum weight clique problems, and show how to use relaxation labeling to find an approximate solution. This allows us to compute a set of pairwise distances between graph-structures. We show how the edit distances can be used to compute a matrix of p… Show more

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Cited by 43 publications
(22 citation statements)
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“…Image matching using graph image representations may be performed by: (a) exploiting spectral properties of the graphs' adjacency matrices [44,50,51]; (b) minimizing the graph edit-distance [12,47,62]; (c) finding a maximum clique of the association graph [41]; (d) using energy minimization or expectation-maximization of a statistical model [23,63]. All these formulations can be cast as a quadratic assignment problem, where a linear term in the objective function encodes node compatibility functions, and a quadratic term encodes edge compatibility functions.…”
Section: Object Discovery As Graph Matchingmentioning
confidence: 99%
“…Image matching using graph image representations may be performed by: (a) exploiting spectral properties of the graphs' adjacency matrices [44,50,51]; (b) minimizing the graph edit-distance [12,47,62]; (c) finding a maximum clique of the association graph [41]; (d) using energy minimization or expectation-maximization of a statistical model [23,63]. All these formulations can be cast as a quadratic assignment problem, where a linear term in the objective function encodes node compatibility functions, and a quadratic term encodes edge compatibility functions.…”
Section: Object Discovery As Graph Matchingmentioning
confidence: 99%
“…The lack of analytical methods in the domain of graphs led to the formulation of clustering problem as pairwise clustering [23] [17]. The process of pairwise clustering is somewhat different to the more familiar one of central clustering.…”
Section: Graph Based Clusteringmentioning
confidence: 99%
“…A number of approaches, including our previous work, use image contours as features [11,[13][14][15][16][17][18][19][20][21][22][23][24][25]. These methods argue that contours are in general richer descriptors, more discriminative, and more noise-tolerant than interest points.…”
Section: Introductionmentioning
confidence: 99%