Conformal spherical representation of 3D genus-zero meshes
Date
2007
Authors
Li, Hongdong
Hartley, Richard
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Publisher
Pergamon-Elsevier Ltd
Abstract
This paper describes an approach of representing 3D shape by using a set of invariant spherical harmonic (SH) coefficients after conformal mapping. Specifically, a genus-zero 3D mesh object is first conformally mapped onto the unit sphere by using a modified discrete conformal mapping, where the modification is based on Möbius factorization and aims at obtaining a canonical conformal mapping. Then a SH analysis is applied to the resulting conformal spherical mesh. The obtained SH coefficients are further made invariant to translation and rotation, while at the same time retain the completeness, thanks to which the original shape information has been faithfully preserved.
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Keywords
Keywords: Factorization; Harmonic analysis; Information analysis; Invariance; Three dimensional; Mobius factorization; Shape invariants; Shape representation; Spherical harmonics; Conformal mapping Conformal mapping; Shape invariant; Shape representation; Spherical harmonics
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Source
Pattern Recognition
Type
Journal article
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2037-12-31
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