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DTSTAMP:20240214T070245Z
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:Technical Papers, TOG\n\nSeungbae Bang (University of Toronto,
  Amazon); Kirill Serkh (University 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 infi
 nite-resolution vector graphics. In practice, existing realizations suffer
  from poor scaling, discretization artifacts, or insufficient support for 
 rich boundary conditions. Previous applications of the boundary element me
 thod to diffusion curves have relied on polygonal approximations, which ei
 ther forfeit the high-order smoothness of Bézier curves, or, when the poly
 gonal approximation is extremely detailed, result in large and costly syst
 ems of equations that must be solved. In this paper, we utilize the bounda
 ry integral equation method to accurately and efficiently solve the underl
 ying partial differential equation. Given a desired resolution and viewpor
 t, we then interpolate this solution and use the boundary element method t
 o render it. We couple this hybrid approach with the fast multipole method
  on a non-uniform quadtree for efficient computation. Furthermore, we intr
 oduce an adaptive strategy to enable truly scalable infinite-resolution di
 ffusion curves.\n\nRegistration Category: Full Access\n\nSession Chair: Mi
 chael Gharbi (Adobe, MIT)
URL:https://asia.siggraph.org/2023/full-program?id=papers_526&sess=sess125
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