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DTSTART:18871231T000000
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DTSTAMP:20230103T035306Z
LOCATION:Auditorium\, Level 5\, West Wing
DTSTART;TZID=Asia/Seoul:20221206T100000
DTEND;TZID=Asia/Seoul:20221206T120000
UID:siggraphasia_SIGGRAPH Asia 2022_sess153_papers_215@linklings.com
SUMMARY:Globally Injective Flattening via a Reduced Harmonic Subspace
DESCRIPTION:Technical Papers\n\nGlobally Injective Flattening via a Reduce
 d Harmonic Subspace\n\nFargion, Weber\n\nWe present a highly efficient-and
 -robust method for free-boundary flattening of disk-like triangle meshes i
 n a globally injective manner. We show that by restricting the solution to
  a low-dimensional subspace of harmonic maps, we can dramatically accelera
 te the process while obtaining a low-distortion result. The algorithm cons
 ists of two main steps. A linear subspace construction, and a nonlinear no
 nconvex optimization for finding a low-distortion globally injective map w
 ithin that subspace. The complexity of the first step dominates the algori
 thm's runtime and is merely that of solving a linear system. We combine re
 cent results for computing locally-and-globally injective maps with that o
 f harmonic maps into a conceptually simple algorithm that guarantees globa
 l injectivity. We demonstrate the great efficiency of our method over a da
 taset of 100 large scale models with more than 2M triangles each. Our algo
 rithm is 10 times faster on average compared to the state-of-the-art Effic
 ient Bijective Parameterizations (EBP) method [Su et al. 2020], on these h
 igh-resolution meshes, and more than 20 times faster on challenging exampl
 es. The speedup over [Jiang et al. 2017; Smith and Schaefer 2015] is even 
 more dramatic.\n\nRegistration Category: FULL ACCESS, EXPERIENCE PLUS ACCE
 SS, EXPERIENCE ACCESS, TRADE EXHIBITOR\n\nLanguage: ENGLISH\n\nFormat: IN-
 PERSON
URL:https://sa2022.siggraph.org/en/full-program/?id=papers_215&sess=sess15
 3
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