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Home > Archive>Volume 27, Issue 10, 2016 >2499-2508. DOI:10.13328/j.cnki.jos.005087
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Constructing Discrete Minimal Surfaces with Quadrilateral Meshes from Described Boundary
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National Natural Science Foundation of China (61472111, 61272300, 61602138); Natrual Science Foundation of Zhejiang Province for Distinguished Young Scholars (LR16F020003); Natural Science Foundation of Zhejiang Province (LQ16F020005)

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    Abstract:

    Efficient modeling of minimal surfaces is a challenging problem and hot topic in the field of geometric design and computation. Taking boundary closed polylines, this paper proposes a general framework to construct discrete minimal surfaces with quadrilateral meshes. First, the mathematical definition of discrete minimal surface with quadrilateral mesh is given from the intrinsic differential-geometry metric of surfaces. Next, based on the length-preserving boundary projection method, quad-mesh generation approach and non-linear numerical optimization technique, a novel framework is presented to construct discrete minimal surfaces with quadrilateral meshes from a described boundary closed discrete polylines. Finally, the effectiveness of the proposed approach is illustrated by several modeling examples. The results show that the proposed method can achieve high-quality modeling of discrete minimal surfaces and provide potential usage in architecture geometry.

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徐岗,朱亚光,李鑫,许金兰,汪国昭,许健泉.插值边界的四边网格离散极小曲面建模方法.软件学报,2016,27(10):2499-2508

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History
  • Received:January 21,2016
  • Revised:March 25,2016
  • Online: August 11,2016
Links:Institute of Software, CASChina Computer FederationCASNSFC
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