基于顶点法向量约束的Catmull-Clark细分插值方法  

Catmull-Clark Subdivision Interpolation Based on Vertex Normal Vector Constraint

作　　者：林传銮 LIN Chuan-Luan(Computer ＆ Cultural Innovation Department, Fuzhou Melbourne Polytechnic, Fuzhou 350108, China)

机构地区：[1]福州墨尔本理工职业学院计算机与文化创意系,福州350108

出　　处：《计算机系统应用》2018年第11期211-217,共7页Computer Systems & Applications

基　　金：福建省自然科学基金(2010J01318)~~

摘　　要：提出一种基于顶点法向量约束实现插值的两步Catmull-Clark细分方法.第一步,通过改造型CatmullClark细分生成新网格.第二步,通过顶点法向量约束对新网格进行调整.两步细分分别运用渐进迭代方法和拉格朗日乘子法,使得极限曲面插值于初始控制顶点和法向量.实验结果证明了该方法可同时实现插值初始控制顶点和法向量,极限曲面具有较好的造型效果.A new scheme for constructing a two steps Catmull-Clark subdivision surface with the vertex normal vector constraint interpolates the vertices of a quadrilateral mesh with arbitrary topology. Firstly, the new mesh is generated by the modified Catmull-Clark subdivision. Secondly, the new mesh is adjusted through vertex normal vector constraints.The two-phase scheme makes the limit surface interpolate all vertices and normal vector in the original mesh by applying the progressive iterative method and the Lagrange multiplier method respectively. The experimental examples are given to show that the method is effective both in interpolating initial control points and normal vector, the limit surface has good modeling effect.

关 键 词：CATMULL-CLARK细分 插值 法向量 渐进迭代 拉格朗日乘子 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]