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논문검색

A Shape-preserved Method to Improve the Developability of Mesh

초록

영어

Developable surface plays an important role in computer aided design and manufacturing systems. This paper is concerned with improving the develop ability of mesh. Since subdivision is an efficient way to design complicated surface, we intend to improve the developability of the mesh obtained from Loop subdivision. The problem is formulated as a constrained optimization problem. The optimization is performed on the coordinates of the points of the mesh, together with the constraints of minimizing shape difference and maximizing developability, a developability improved mesh is obtained.

목차

Abstract
 1 Introduction
 2 Mathematical Formulation
  2.1 Developability of mesh
  2.2 Developability improving algorithm
 3 Numerical Scheme
  3.1 Conjugate gradient
  3.2 Computation of the gradient
 4 Experimental Result
 5 Conclusion
 References

저자정보

  • Su, Zhixun Department of Applied Mathematics, Dalian University of Technology
  • Liu, Xiuping Department of Applied Mathematics, Dalian University of Technology
  • Zhou, Xiaojie Department of Applied Mathematics, Dalian University of Technology
  • Shen, Aihong Department of Applied Mathematics, Dalian University of Technology

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