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DTSTAMP:20260114T163633Z
LOCATION:Darling Harbour Theatre\, Level 2 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T093000
DTEND;TZID=Australia/Melbourne:20231212T124500
UID:siggraphasia_SIGGRAPH Asia 2023_sess209_papers_900@linklings.com
SUMMARY:An Unified $\lambda$-subdivision Scheme for Quadrilateral Meshes w
 ith Optimal Curvature Performance in Extraordinary Regions
DESCRIPTION:Weiyin Ma, Xu Wang, and Yue Ma (City University of Hong Kong)\
 n\nWe propose an unified $\lambda$-subdivision scheme with a continuous fa
 mily of tuned subdivisions for quadrilateral meshes. Main subdivision sten
 cil parameters of the unified scheme are represented as spline functions o
 f the subdominant eigenvalue $\lambda$ of respective subdivision matrices 
 and the $\lambda$ value can be selected within a wide range to produce des
 ired properties of refined meshes and limit surfaces with optimal curvatur
 e performance in extraordinary regions. Spline representations of stencil 
 parameters are constructed based on discrete optimized stencil coefficient
 s obtained by a general tuning framework that optimizes eigenvectors of su
 bdivision matrices towards curvature continuity conditions. To further imp
 rove the quality of limit surfaces, a weighting function is devised to pen
 alize sign changes of Gauss curvatures on respective second order characte
 ristic maps. By selecting an appropriate $\lambda$, the resulting unified 
 subdivision scheme produces anticipated properties towards different targe
 t applications, including nice properties of several other existing tuned 
 subdivision schemes. Comparison results also validate the advantage of the
  proposed scheme with higher quality surfaces for subdivision at lower $\l
 ambda$ values, a challenging task for other related tuned subdivision sche
 mes.\n\nRegistration Category: Full Access, Enhanced Access, Trade Exhibit
 or, Experience Hall Exhibitor\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_900&sess=sess209
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