Conformal spherical representation of 3D genus-zero meshes
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Li, Hongdong; Hartley, Richard
Description
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...[Show more]
dc.contributor.author | Li, Hongdong | |
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dc.contributor.author | Hartley, Richard | |
dc.date.accessioned | 2015-12-10T22:18:44Z | |
dc.identifier.issn | 0031-3203 | |
dc.identifier.uri | http://hdl.handle.net/1885/51537 | |
dc.description.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. | |
dc.publisher | Pergamon-Elsevier Ltd | |
dc.source | Pattern Recognition | |
dc.subject | 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 | |
dc.title | Conformal spherical representation of 3D genus-zero meshes | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 40 | |
dc.date.issued | 2007 | |
local.identifier.absfor | 080106 - Image Processing | |
local.identifier.ariespublication | u4251866xPUB226 | |
local.type.status | Published Version | |
local.contributor.affiliation | Li, Hongdong, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Hartley, Richard, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 10 | |
local.bibliographicCitation.startpage | 2742 | |
local.bibliographicCitation.lastpage | 2753 | |
local.identifier.doi | 10.1016/j.patcog.2007.01.021 | |
local.identifier.absseo | 890399 - Information Services not elsewhere classified | |
dc.date.updated | 2015-12-09T08:37:59Z | |
local.identifier.scopusID | 2-s2.0-34249007777 | |
Collections | ANU Research Publications |
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