拉普拉斯平滑
数学优化
全局优化
操作员(生物学)
多边形网格
计算机科学
平滑的
细分
二次方程
最优化问题
算法
网格生成
数学
有限元法
工程类
几何学
抑制因子
土木工程
化学
计算机图形学(图像)
基因
转录因子
结构工程
生物化学
计算机视觉
作者
Ligang Liu,Chiew-Lan Tai,Zhongping Ji,Guojin Wang
标识
DOI:10.1016/j.cad.2007.03.004
摘要
This paper presents a global optimization operator for arbitrary meshes. The global optimization operator is composed of two main terms, one part is the global Laplacian operator of the mesh which keeps the fairness and another is the constraint condition which reserves the fidelity to the mesh. The global optimization operator is formulated as a quadratic optimization problem, which is easily solved by solving a sparse linear system. Our global mesh optimization approach can be effectively used in at least three applications: smoothing the noisy mesh, improving the simplified mesh, and geometric modeling with subdivision-connectivity. Many experimental results are presented to show the applicability and flexibility of the approach.
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