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:20230103T035307Z LOCATION:Room 325-AB\, Level 3\, West Wing DTSTART;TZID=Asia/Seoul:20221206T140000 DTEND;TZID=Asia/Seoul:20221206T153000 UID:siggraphasia_SIGGRAPH Asia 2022_sess156_papers_233@linklings.com SUMMARY:SurfaceVoronoi: Efficiently Computing Voronoi Diagrams Over Mesh S urfaces with Arbitrary Distance Solvers DESCRIPTION:Technical Communications, Technical Papers, TOG\n\nSurfaceVoro noi: Efficiently Computing Voronoi Diagrams Over Mesh Surfaces with Arbitr ary Distance Solvers\n\nXin, Wang, Xu, Yan, Chen...\n\nIn this paper, we p ropose to compute Voronoi diagrams over mesh surfaces driven by an arbitra ry geodesic distance solver, assuming that the input is a triangle mesh as well as a collection of sites mathbf{P}={p_i}_{i=1}^m on the surface. We propose two key techniques to solve this problem. First, as the partition is determined by minimizing the m distance fields, each of which rooted at a source site, we suggest keeping one or more distance triples, for each triangle, that may help determine the Voronoi bisectors when one uses a ma rk-and-sweep geodesic algorithm to predict the multi-source distance field . Second, rather than keep the distance itself at a mesh vertex, we use th e squared distance to characterize the linear change of distance field res tricted in a triangle, which is proved to induce an exact VD when the base surface reduces to a planar triangle mesh. Specially, our algorithm also supports the Euclidean distance, which can handle thin-sheet models(e.g. l eaf) and runs faster than the traditional restricted Voronoi diagram (RVD) algorithm. It is very extensible to deal with various variants of surface -based Voronoi diagrams including (1) surface-based power diagram, (2) con strained Voronoi diagram with curve-type breaklines, and (3) curve-type ge nerators. We conduct extensive experimental results to validate the abilit y to approximate the exact VD in different distance-driven scenarios.\n\nR egistration Category: FULL ACCESS, ON-DEMAND ACCESS\n\nLanguage: ENGLISH\n \nFormat: IN-PERSON, ON-DEMAND URL:https://sa2022.siggraph.org/en/full-program/?id=papers_233&sess=sess15 6 END:VEVENT END:VCALENDAR