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DTSTAMP:20240214T070244Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231213T140000
DTEND;TZID=Australia/Melbourne:20231213T141500
UID:siggraphasia_SIGGRAPH Asia 2023_sess144_papers_900@linklings.com
SUMMARY:An Unified $\lambda$-subdivision Scheme for Quadrilateral Meshes w
 ith Optimal Curvature Performance in Extraordinary Regions
DESCRIPTION:Technical Papers\n\nWeiyin Ma, Xu Wang, and Yue Ma (City Unive
 rsity of Hong Kong)\n\nWe propose an unified $\lambda$-subdivision scheme 
 with a continuous family of tuned subdivisions for quadrilateral meshes. M
 ain subdivision stencil parameters of the unified scheme are represented a
 s spline functions of the subdominant eigenvalue $\lambda$ of respective s
 ubdivision matrices and the $\lambda$ value can be selected within a wide 
 range to produce desired properties of refined meshes and limit surfaces w
 ith optimal curvature performance in extraordinary regions. Spline represe
 ntations of stencil parameters are constructed based on discrete optimized
  stencil coefficients obtained by a general tuning framework that optimize
 s eigenvectors of subdivision matrices towards curvature continuity condit
 ions. To further improve the quality of limit surfaces, a weighting functi
 on is devised to penalize sign changes of Gauss curvatures on respective s
 econd order characteristic maps. By selecting an appropriate $\lambda$, th
 e resulting unified subdivision scheme produces anticipated properties tow
 ards different target applications, including nice properties of several o
 ther existing tuned subdivision schemes. Comparison results also validate 
 the advantage of the proposed scheme with higher quality surfaces for subd
 ivision at lower $\lambda$ values, a challenging task for other related tu
 ned subdivision schemes.\n\nRegistration Category: Full Access\n\nSession 
 Chair: Oded Stein (University of Southern California, MIT)
URL:https://asia.siggraph.org/2023/full-program?id=papers_900&sess=sess144
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