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Using low-discrepancy sequences and the Crofton formula to compute surface areas of geometric models

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Publication:628088
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DOI10.1016/S0010-4485(02)00100-8zbMath1206.65054MaRDI QIDQ628088

Ralph R. Martin, Wenping Wang, Xueqing Li, Adrian Bowyer

Publication date: 4 March 2011

Published in: CAD. Computer-Aided Design (Search for Journal in Brave)



Mathematics Subject Classification ID

Monte Carlo methods (65C05) Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)


Related Items (8)

Random Points on an Algebraic Manifold ⋮ Subsampling bias and the best-discrepancy systematic cross validation ⋮ Stochastic geometry and related statistical problems in biomedicine ⋮ On the tangent model for the density of lines and a Monte Carlo method for computing hypersurface area ⋮ TURNING SHAPE DECISION PROBLEMS INTO MEASURES ⋮ On the density of lines and Santalo's formula for computing geometric size measures ⋮ Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods ⋮ On intersection volumes of confidence hyper-ellipsoids and two geometric Monte Carlo methods


Uses Software

  • Pcp2Nurb



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