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Efficient volume preserving approach for skeleton-based implicit surfaces
作者姓名:史红兵  童若锋  董金祥
作者单位:State Key Laboratory of CAD & CG,State Key Laboratory of CAD & CG,State Key Laboratory of CAD & CG Institute of Artificial Intelligence,Department of Computer Science and Engineering,Zhejiang University,Hangzhou 310027,China,Institute of Artificial Intelligence,Department of Computer Science and Engineering,Zhejiang University,Hangzhou 310027,China,Institute of Artificial Intelligence,Department of Computer Science and Engineering,Zhejiang University,Hangzhou 310027,China
基金项目:ProjectsupportedbytheScientificResearchFoundationfortheReturnedOverseasChineseScholars ,StateEducationMinistry,andtheNaturalScienceFoundation (No.60 110 7)ofZhejiangProvince ,China
摘    要:INTRODUCTIONImplicitsurfaces,especiallyskeleton basedones,arewidelyusedinmodelingsoftobjectssuchasorgans,cloudsandliquidsbecauseoftheircapabilityforgeneratingsmoothsurfacesofarbitrarygeometryandtopology(Fujitaetal.,1 990 ;Yuetal.,1 999;MurtaandMiller,1 99…


Efficient volume preserving approach for skeleton-based implicit surfaces
Abstract:This paper presents an efficient way to preserve the volume of implicit surfaces generated by skeletons. Recursive subdivision is used to efficiently calculate the volume. The criterion for subdivision is obtained by using the property of density functions and treating different types of skeletons respectively to get accurate minimum and maximum distances from a cube to a skeleton. Compared with the criterion generated by other ways such as using traditional Interval Analysis, Affine Arithmetic, or Lipschitz condition, our approach is much better both in speed and accuracy.
Keywords:Volume preserving  Skeleton  based implicit surface  Subdivision criterion  Interval analysis
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