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Comparison Between the Morphological Skeleton and Morphological Shape Decomposition
September 1996 (vol. 18 no. 9)
pp. 951-957

Abstract—The morphological skeleton and morphological shape decomposition (MSD) are two popular approaches for morphological shape representation. Each method represents an object as an algebraic combination of a number of components, where each component is given by a locus of points dilated by a specified structuring-element homothetic. This correspondence develops a theoretical comparison between the two methods. Combining the theoretical results with several representation cost measures, we make a concrete comparison of the efficiency of the two methods. The results indicate that for complex objects—i.e., objects requiring a full range of homothetic sizes in the morphological skeleton representation—the MSD represents objects more efficiently than the morphological skeleton for three of four suggested cost measures.

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Index Terms:
Mathematical morphology, shape representation, morphological skeleton, morphological shape decomposition, image analysis, computer vision, shape analysis.
Citation:
Joseph M. Reinhardt, William E. Higgins, "Comparison Between the Morphological Skeleton and Morphological Shape Decomposition," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 18, no. 9, pp. 951-957, Sept. 1996, doi:10.1109/34.537351
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