Abstract
In this work we propose a further generalization of the Morphological Skeleton Decomposition on Boolean Lattices. In this generalization, the family of structuring-functions which determines the decomposition has its scalar index λ replaced by a generic index i from a totally or partially ordered set I. This enables, for example, skeleton decompositions by richer and more complex families of shapes, characterized by several scalar indices (i.e., a multi-dimensional index), instead of just a single scalar index.
Particular cases and applications are discussed.
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References
J. Serra, Image Analysis and Mathematical Morphology,Volume 2: Theoretical Advances. London: Academic Press, 1988.
J. Serra, “Skeleton Decompositions”, SPIE Vol. 1769, Image Algebra and Morphological Image Processing III,pp. 376–386, 1992.
R. Kresch and D. Malah, “Morphological Multi-Structuring-Element Skeleton and its Applications”, Proc. of ISSSE’92, Paris, pp. 166–169, September 1992.
P. Maragos and R.W. Schafer, “Morphological Skeleton Representation and Coding of Binary Images”, IEEE Trans. ASSP, Vol. 34, No. 5, pp. 1228–1244, October 1986.
J. Serra, Image Analysis and Mathematical Morphology. London: Academic Press, 1982.
G. Sapiro and D. Malah, “Morphological Image Coding Based on a Geometric Sampling Theorem and a Modified Skeleton Representation”, Journal of Visual Communication and Image Representation, Vol. 5, No. 1, pp. 29–40, March 1994.
R. Kresch and D. Malah, “Morphological Redundancy of Skeleton Redundancy”, Proc. of the International Workshop on Mathematical Morphology and Its Applications to Image Process-ing, Barcelona, pp. 145–150, May 1993, to appear in Signal Processing, 1994.
D. Schonfeld and J. Goutsias, “Morphological Representation of Discrete and Binary Images”, Trans. Signal Processing, Vol. 39, No. 6, pp. 1369–1379, June 1991.
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© 1994 Springer Science+Business Media Dordrecht
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Kresch, R., Malah, D. (1994). Multi-Parameter Skeleton Decomposition. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_19
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DOI: https://doi.org/10.1007/978-94-011-1040-2_19
Publisher Name: Springer, Dordrecht
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