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Conformal spherical representation of 3D genus-zero meshes

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dc.contributor.authorLi, Hongdong
dc.contributor.authorHartley, Richard
dc.date.accessioned2015-12-10T22:18:44Z
dc.date.issued2007
dc.date.updated2015-12-09T08:37:59Z
dc.description.abstractThis 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.identifier.issn0031-3203
dc.identifier.urihttp://hdl.handle.net/1885/51537
dc.publisherPergamon-Elsevier Ltd
dc.sourcePattern Recognition
dc.subjectKeywords: 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.titleConformal spherical representation of 3D genus-zero meshes
dc.typeJournal article
local.bibliographicCitation.issue10
local.bibliographicCitation.lastpage2753
local.bibliographicCitation.startpage2742
local.contributor.affiliationLi, Hongdong, College of Engineering and Computer Science, ANU
local.contributor.affiliationHartley, Richard, College of Engineering and Computer Science, ANU
local.contributor.authoruidLi, Hongdong, u4056952
local.contributor.authoruidHartley, Richard, u4022238
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080106 - Image Processing
local.identifier.absseo890399 - Information Services not elsewhere classified
local.identifier.ariespublicationu4251866xPUB226
local.identifier.citationvolume40
local.identifier.doi10.1016/j.patcog.2007.01.021
local.identifier.scopusID2-s2.0-34249007777
local.type.statusPublished Version

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