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Sixth IEEE International Conference on Data Mining (ICDM'06)
Manifold Clustering of Shapes
Hong Kong
December 18-December 22
ISBN: 0-7695-2701-9
Dragomir Yankov, University of California, Riverside, USA
Eamonn Keogh, University of California, Riverside, USA
Shape clustering can significantly facilitate the automatic labeling of objects present in image collections. For example, it could outline the existing groups of pathological cells in a bank of cyto-images; the groups of species on photographs collected from certain aerials; or the groups of objects observed on surveillance scenes from an office building.

Here we demonstrate that a nonlinear projection algorithm such as Isomap can attract together shapes of similar objects, suggesting the existence of isometry between the shape space and a low dimensional nonlinear embedding. Whenever there is a relatively small amount of noise in the data, the projection forms compact, convex clusters that can easily be learned by a subsequent partitioning scheme. We further propose a modification of the Isomap projection based on the concept of degree-bounded minimum spanning trees. The proposed approach is demonstrated to move apart bridged clusters and to alleviate the effect of noise in the data.

Citation:
Dragomir Yankov, Eamonn Keogh, "Manifold Clustering of Shapes," icdm, pp.1167-1171, Sixth IEEE International Conference on Data Mining (ICDM'06), 2006
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