BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Seoul X-LIC-LOCATION:Asia/Seoul BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:KST DTSTART:18871231T000000 DTSTART:19881009T020000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT 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 2 END:VEVENT END:VCALENDAR