Abstract
We consider the problem of extracting the morphology of a terrain discretized as a triangle mesh. We discuss first how to transpose Morse theory to the discrete case in order to describe the morphology of triangulated terrains. We review algorithms for computing Morse decompositions, that we have adapted and implemented for triangulated terrains. We compare the the Morse decompositions produced by them, by considering two different metrics. © 2011 Springer-Verlag.
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Vitali, M., De Floriani, L., & Magillo, P. (2011). Computing Morse decompositions for triangulated terrains: An analysis and an experimental evaluation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6978 LNCS, pp. 565–574). https://doi.org/10.1007/978-3-642-24085-0_58
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