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DTSTAMP:20230103T035312Z
LOCATION:Room 324\, Level 3\, West Wing
DTSTART;TZID=Asia/Seoul:20221209T090000
DTEND;TZID=Asia/Seoul:20221209T103000
UID:siggraphasia_SIGGRAPH Asia 2022_sess172_papers_362@linklings.com
SUMMARY:Green Coordinates for Triquad Cages in 3D
DESCRIPTION:Technical Communications, Technical Papers\n\nGreen Coordinate
s for Triquad Cages in 3D\n\nThiery, Boubekeur\n\nWe introduce Green coord
inates for triquad cages in 3D.\nBased on Green's third identity, they all
ow defining the harmonic deformation of a 3D point inside a cage as a line
ar combination of its vertices and face normals.\nUsing appropriate Neuman
n boundary conditions, the resulting deformations are quasi-conformal in 3
D, and thus best-preserve the local deformed geometry.\nMost coordinate sy
stems use cages made of triangles as input, yet quads are in general favor
ed by 3D artists as those align naturally onto important geometric feature
s of the 3D shapes, such as the limbs of a character, without introducing
arbitrary asymmetric deformations and representation.\nWhile triangular ca
ges admit per-face constant normals and result in a single Green coordinat
e per triangle, the case of quad cages is at the same time more involved (
as the normal varies along non-planar quads) and more flexible (as many di
fferent mathematical models allow defining the smooth geometry of a quad i
nterpolating its four edges).\nWe consider bilinear quads, and we introduc
e a new Neumann boundary condition resulting in a simple set of four addit
ional coordinates per quad.\nOur coordinates remain quasi-conformal in 3D,
and we demonstrate their superior behavior under non-trivial deformations
of realistic triquad cages.\n\nRegistration Category: FULL ACCESS, ON-DEM
AND ACCESS\n\nLanguage: ENGLISH\n\nFormat: IN-PERSON, ON-DEMAND
URL:https://sa2022.siggraph.org/en/full-program/?id=papers_362&sess=sess17
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