二维流形三角网格模型顶点法矢量估计

Vertex Normal Vector Estimation Methods for Manifold Triangular Meshes

提出一种以顶点的一邻域中三角形在该顶点处的顶角与对应三角形的面积比值加权三角面法矢量估计二维流形三角网格模型顶点法矢量的方法.回顾了现有的五种顶点法矢量估计方法,然后给出了新的方法.设计了利用理论法矢量与估计法矢量的夹角作为误差评价标准的实验,应用球体和椭球体模型分析了所涉及的6种估计方法的性能.

An new method is proposed to estimate the vertex normal vector for manifold triangular meshes, which uses the ratio of the angle at the vertex and the area of the triangle as the weight of each triangular facet normal in the first order neighbor field of the vertex. Five precedent methods for vertex normal estimation are reviewed, and then are given in mathematical formula together with the new one. The deviation angle between the theoretic normal vector and the estimated one is made the error evaluation standard factor and the ball and elliptical ball manifold triangular mesh models are used to analyze the performance of all these estimation method.