一种新的NURBS曲面自适应离散方法

Adaptive Triangular Tessellation of NURBS Surfaces

开发了一种NURBS曲面自适应三角形离散的新方法。采用“二叉 /四叉”树进行曲面递归分割 ,同时结合节点细化提高利用控制点网格检验平坦度的准确性。为建立分割点的三角形拓扑关系 ,提出了一种两步骤的阵列式平面点集三角剖分的新型算法。计算实例表明 ,本离散方法具有产生三角形数量少、网格形态好。

A new method for adaptive triangular faceting of NURBS surfaces is developed The binary/quad-tree is adopted to perform recursive subdivision, meanwhile the accuracy of flatness test by control points net is improved through knot refinements A new two-step algorithm is used to triangulate the parametric vertices of subdivision rectangles distributing in array Examples indicate this methods such advantages as less triangles, good mesh, high speed and generality