کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
526501 869125 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological analysis of shapes using Morse theory
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر چشم انداز کامپیوتر و تشخیص الگو
پیش نمایش صفحه اول مقاله
Topological analysis of shapes using Morse theory
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Vision and Image Understanding - Volume 105, Issue 3, March 2007, Pages 188–199
نویسندگان
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