Correspondence algorithms typically struggle with shapes that display part-based\ud variation. We present a probabilistic approach that matches shapes using independent\ud part transformations, where the parts themselves are learnt during matching.\ud Ideas from semi-supervised learning are used to bias the algorithm towards finding\ud ‘perceptually valid’ part structures. Shapes are represented by unlabeled point\ud sets of arbitrary size and a background component is used to handle occlusion,\ud local dissimilarity and clutter. Thus, unlike many shape matching techniques, our\ud approach can be applied to shapes extracted from real images. Model parameters\ud are estimated using an EM algorithm that alternates between finding a soft\ud correspondence and computing the optimal part transformations using Procrustes\ud analysis
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