A Shape-preserved Method to Improve the Developability of Mesh

  • 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)
  • Published : 2005.11.25

Abstract

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.

Keywords