Article ID Journal Published Year Pages File Type
526501 Computer Vision and Image Understanding 2007 12 Pages PDF
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∈Ra∈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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Vision and Pattern Recognition
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