Abstract
We present an algorithm for constructing efficient topological shape descriptors of three dimensional objects. Given a smooth surface S and a Morse function f defined on S, our algorithm encodes the relationship among the critical points of the function f by means of a connection graph, called the Morse Connections Graph, whose nodes represent the critical points of f. Two nodes are related by an edge if a connection is established between them. This graph structure is extremely suitable for shape comparison and shape matching and inherits the invariant properties of the given Morse function f.
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Corriveau, D., Allili, M., Ziou, D. (2005). Morse Connections Graph for Shape Representation. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2005. Lecture Notes in Computer Science, vol 3708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558484_28
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DOI: https://doi.org/10.1007/11558484_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29032-2
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