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DTSTAMP:20250110T023312Z
LOCATION:Hall B5 (1)\, B Block\, Level 5
DTSTART;TZID=Asia/Tokyo:20241205T095800
DTEND;TZID=Asia/Tokyo:20241205T100900
UID:siggraphasia_SIGGRAPH Asia 2024_sess124_papers_901@linklings.com
SUMMARY:C^0 Generalized Coons Patches for High-order Cage-based Deformatio
 n
DESCRIPTION:Technical Papers\n\nKaikai Qin, Yunhao Zhou, Chenhao Ying, Yaj
 uan Li, and Chongyang Deng (Hangzhou Dianzi University)\n\nSpace deformati
 ons deform the ambient space and thus implicitly deform the embedded objec
 ts. Free-Form Deformation allows high-order deformation to the embedding s
 pace, yet the lattice may fail to conform to the object and involves many 
 internal control points. Cage-based Deformation utilizes a cage space that
  conforms to the object, obviating the need for additional internal contro
 l points, but it is typically linear at edges. In this paper, we propose a
  simple and general method with both advantages while avoiding their drawb
 acks, allowing users to implement high-order cage-based deformation. To ac
 hieve this goal, we introduce a new parametric transfinite interpolation s
 cheme based on generalized barycentric coordinates, which unifies and gene
 ralizes the rectangular and triangular Coons patch. This $C^0$ Generalized
  Coons patch can be defined not only over $2$D domains but also $3$D domai
 ns or even higher-dimensional domains, with arbitrary polytopes, even incl
 uding non-manifold topologies. Moreover, the $C^0$ Generalized Coons patch
  has an elegant mathematical expression.\n\nRegistration Category: Full Ac
 cess, Full Access Supporter\n\nLanguage Format: English Language\n\nSessio
 n Chair: Yotam Gingold (George Mason University)
URL:https://asia.siggraph.org/2024/program/?id=papers_901&sess=sess124
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