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- W2166950906 abstract "In this paper, we propose a novel method for shape analysis that is suitable for any multi-dimensional data set that can be modelled as a manifold. The descriptor is obtained for any pair (M, φ), where M is a closed smooth manifold and φ is a Morse function defined on M. More precisely, we characterize the topology of all pairs of sub-level sets (My, Mx) of φ, where Ma = φ−1((−∞, a]), for all a∈R. Classical Morse theory is used to establish a link between the topology of a pair of sub-level sets of φ and its critical points lying between the two levels." @default.
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- W2166950906 date "2007-03-01" @default.
- W2166950906 modified "2023-09-26" @default.
- W2166950906 title "Topological analysis of shapes using Morse theory" @default.
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- W2166950906 doi "https://doi.org/10.1016/j.cviu.2006.10.004" @default.
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