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DTSTAMP:20260114T163644Z
LOCATION:Meeting Room C4.11\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231213T153000
DTEND;TZID=Australia/Melbourne:20231213T154500
UID:siggraphasia_SIGGRAPH Asia 2023_sess125_papers_526@linklings.com
SUMMARY:An Adaptive Fast-Multipole-Accelerated Hybrid Boundary Integral Eq
 uation Method for Accurate Diffusion Curves
DESCRIPTION:Seungbae Bang (University of Toronto, Amazon); Kirill Serkh (U
 niversity of Toronto); Oded Stein (University of Southern California, MIT)
 ; and Alec Jacobson (University of Toronto, Adobe)\n\nIn theory, diffusion
  curves promise complex color gradations for infinite-resolution vector gr
 aphics. In practice, existing realizations suffer from poor scaling, discr
 etization artifacts, or insufficient support for rich boundary conditions.
  Previous applications of the boundary element method to diffusion curves 
 have relied on polygonal approximations, which either forfeit the high-ord
 er smoothness of Bézier curves, or, when the polygonal approximation is ex
 tremely detailed, result in large and costly systems of equations that mus
 t be solved. In this paper, we utilize the boundary integral equation meth
 od to accurately and efficiently solve the underlying partial differential
  equation. Given a desired resolution and viewport, we then interpolate th
 is solution and use the boundary element method to render it. We couple th
 is hybrid approach with the fast multipole method on a non-uniform quadtre
 e for efficient computation. Furthermore, we introduce an adaptive strateg
 y to enable truly scalable infinite-resolution diffusion curves.\n\nRegist
 ration Category: Full Access\n\nSession Chair: Michael Gharbi (Reve AI, Ma
 ssachusetts Institute of Technology (MIT))\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_526&sess=sess125
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