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DTSTAMP:20230103T035306Z
LOCATION:Auditorium\, Level 5\, West Wing
DTSTART;TZID=Asia/Seoul:20221206T100000
DTEND;TZID=Asia/Seoul:20221206T120000
UID:siggraphasia_SIGGRAPH Asia 2022_sess153_papers_362@linklings.com
SUMMARY:Green Coordinates for Triquad Cages in 3D
DESCRIPTION:Technical Papers\n\nGreen Coordinates for Triquad Cages in 3D\
 n\nThiery, Boubekeur\n\nWe introduce Green coordinates for triquad cages i
 n 3D.\nBased on Green's third identity, they allow defining the harmonic d
 eformation of a 3D point inside a cage as a linear combination of its vert
 ices and face normals.\nUsing appropriate Neumann boundary conditions, the
  resulting deformations are quasi-conformal in 3D, and thus best-preserve 
 the local deformed geometry.\nMost coordinate systems use cages made of tr
 iangles as input, yet quads are in general favored by 3D artists as those 
 align naturally onto important geometric features of the 3D shapes, such a
 s the limbs of a character, without introducing arbitrary asymmetric defor
 mations and representation.\nWhile triangular cages admit per-face constan
 t normals and result in a single Green coordinate per triangle, the case o
 f quad cages is at the same time more involved (as the normal varies along
  non-planar quads) and more flexible (as many different mathematical model
 s allow defining the smooth geometry of a quad interpolating its four edge
 s).\nWe consider bilinear quads, and we introduce a new Neumann boundary c
 ondition resulting in a simple set of four additional coordinates per quad
 .\nOur coordinates remain quasi-conformal in 3D, and we demonstrate their 
 superior behavior under non-trivial deformations of realistic triquad cage
 s.\n\nRegistration Category: FULL ACCESS, EXPERIENCE PLUS ACCESS, EXPERIEN
 CE ACCESS, TRADE EXHIBITOR\n\nLanguage: ENGLISH\n\nFormat: IN-PERSON
URL:https://sa2022.siggraph.org/en/full-program/?id=papers_362&sess=sess15
 3
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