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J. M. Reinhardt and W. E. Higgins. Comparison between the Morphological Skeleton and Morphological Shape Decomposition. IEEE Trans. Patt. Anal. Machine Intell., vol. 18, no. 9, pp. 951-957, 1996.

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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Keywords: shape

Other publications by: J. M. Reinhardt, W. E. Higgins

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Related conference papers:

J. M. Reinhardt and W. E. Higgins. Toward Efficient Morphological Shape Representation. In Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, vol. V, pp. 125-128, 1993. (details)
J. M. Reinhardt and W. E. Higgins. Flexible Search-Based Approach for Morphological Shape Decomposition. In B. G. Haskell and H.-M. Hang, eds., Proc. SPIE Conf. Visual Comm., vol. 2094, pp. 1424-1435, Cambridge, MA, 1993. (details)
W. E. Higgins, J. M. Reinhardt, and W. L. Sharp. Semi-automatic construction of 3D medical image-segmentation processes. In R. A. Robb, ed., Proc. SPIE Conf. Visual. in Biomed. Comp., vol. 2359, pp. 59-71, Rochester, MN, 1994. (details)
J. M. Reinhardt and W. E. Higgins. Shape Representation: Comparison between the Morphological Skeleton and Morphological Shape Decomposition. In Proc. IEEE Int. Conf. Image Processing, vol. I, pp. 91-95, 1994. (details)
J. M. Reinhardt and W. E. Higgins. Automatic Generation of Image-Segmentation Processes. In Proc. IEEE Int. Conf. Image Processing, vol. III, pp. 791-795, 1994. (details)