【作者】 徐伟； 季浩； 刘晓平；

【Author】 Xu Wei Ji Hao Liu Xiaoping VCC Division,School of Computer & Information,Hefei University of Technology,Hefei,230009

【机构】 合肥工业大学计算机与信息学院VCC研究室；

【摘要】 散乱点插值曲面是计算机辅助几何设计中的重要研究方向,文章提出一种改进九参数插值法构造插值散乱点的 G1连续曲面的新方法。谊方法首先由空间三角形的边界条件,估计各个顶点的法矢和切矢方向,确定该三角形上 Bezier 插值曲面的控制顶点,然后进行三角形分割判定,对不理想的三角形采用带形状参数的自适应 Clough-Tocher 分割进行优化,这样迭代处理,直至全部满足条件。最后给出实验,通过实验表明文章中的方法简单可靠,使用该方法总能产生的插值散乱点、并满足 G1 连续性要求三次曲面。更多还原

【Abstract】 Scattered Data Interpolation is a important research field in Computer Aided Geometry Design. In this paper,a new nine parameter interpolation method to construct G 1 Surfaces is presented.Firstly,based on normal vector and tangent vector of every vertex which can calculate from triangular Boundary conditions, we can acquire Bezier surface control points.In addition check the Bezier control points if satisfy split condition using adaptive Clough-Tocher method to split those not ideal triangular mesh and put the split triangle in queue iterative process.Finally,the result of experiment was proved that this method can always construct a G1 surface based on scattered data interpolation.更多还原