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三角网格模型顶点法矢与离散曲率计算
Estimation of Triangular Mesh Vertex Normal Vector and Discrete Curvature
【摘要】 给出了一种新的面积角度加权的三角网格模型顶点法矢计算公式,在此基础上对Taubin离散曲率计算方法做了改进,采用质心距离权重代替面积权重,提出了新的离散曲率计算方法。实例表明,与原有公式及方法相比,该公式与方法的计算结果更为准确。
【Abstract】 A novel formula for the estimation of triangular mesh vertex normal vector is presented.Instead of area weighted,this formula is area and angle weighted.Based on the formula,a new method for the estimation of triangular mesh discrete curvature is put forward.This method is the improvement of Taubin’s triangular mesh discrete curvature estimation method,by replacing triangle area weights with triangle centroid weights.Example shows that the estimation results of the presented formula and method is more accurate than that of existing methods.
【关键词】 CAD/CAM;
三角网格模型;
顶点法矢;
离散曲率;
【Key words】 CAD/CAM; triangular mesh; vertex normal vector; discrete curvature;
【Key words】 CAD/CAM; triangular mesh; vertex normal vector; discrete curvature;
【基金】 国家自然科学基金资助项目(编号:60273097);教;育部高等学校优秀青年教师教学科研奖励计划
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2005年26期
- 【分类号】TP391.7
- 【被引频次】82
- 【下载频次】1077