Reference TypeConference Proceedings
Citation KeyBelón:2013:ApCoGe
AuthorBelón, Mauricio Cele López
AffiliationHuddle Group S.A.
TitleApplications of Conformal Geometric Algebra in Mesh Deformation
Conference NameConference on Graphics, Patterns and Images, 26 (SIBGRAPI)
EditorBoyer, Kim
Hirata, Nina
Nedel, Luciana
Silva, Claudio
Book TitleProceedings
DateAug. 5-8, 2013
Publisher CityLos Alamitos
PublisherIEEE Computer Society
Conference LocationArequipa, Peru
KeywordsConformal Geometric Algebra, Mesh Deformation.
AbstractWe illustrate the suitability of Conformal Geometric Algebra for representing deformable mesh models. State-of-the-art modeling tools allow the user to deform 3D models (or region of interest) by selecting sets of points on the surface, called handles, and move them freely. The deformed surface should look "naturally" stretched and bent. Mesh representations based on Conformal Geometric Algebra extend, quite naturally, the existing deformable mesh representations by introducing rigid-body-motion handles, a.k.a motor handles, instead of just translation handles. We show how these mesh representations conduct to a fast and easy formulation for the Spline-aligned deformation and a formulation for linear surface deformation based on generalized barycentric coordinates. Also, we reformulate the Free-Form Deformation (FFD), Harmonic Coordinates (HC) and As-Rigid-As-Possible (ARAP) Surface Modeling into the Conformal Geometric Algebra framework and discuss the advantages of these reformulations.
Tertiary TypeFull Paper
Size4260 KiB
Number of Files1
Target FilePID2845377.pdf
Last Update2013:
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