کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1548889 | 997762 | 2008 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Constructing parametric triangular patches with boundary conditions Constructing parametric triangular patches with boundary conditions](/preview/png/1548889.png)
The problem of constructing a parametric triangular patch to smoothly connect three surface patches is studied. Usually, these surface patches are defined on different parameter spaces. Therefore, it is necessary to define interpolation conditions, with values from the given surface patches, on the boundary of the triangular patch that can ensure smooth transition between different parameter spaces. In this paper we present a new method to define boundary conditions. Boundary conditions defined by the new method have the same parameter space if the three given surface patches can be converted into the same form through affine transformation. Consequently, any of the classic methods for constructing functional triangular patches can be used directly to construct a parametric triangular patch to connect given surface patches with G1G1 continuity. The resulting parametric triangular patch preserves precision of the applied classic method.
Journal: Progress in Natural Science - Volume 18, Issue 3, 10 March 2008, Pages 315–322