曲面处理的曲率域能量优化方法研究  

Surface processing based on curvature-domain energy optimization methods

作　　者：刘光帅[1] 李柏林[1] 何朝明[1] 

机构地区：[1]西南交通大学机械学院,成都610031

出　　处：《计算机应用研究》2011年第2期763-765,共3页Application Research of Computers

基　　金：国家自然科学基金资助项目(50675180);四川省科技计划资助项目(2008GZ0149;2009GZ0007);中央高校基本科研业务费专项资金资助项目(SWJTU09BR104)

摘　　要：鉴于曲率在几何处理中的重要性,提出了一种基于曲率域的三维几何处理方法,提供了便于曲面形状编辑、过滤及合成的几何工具。对于给定曲面,估计其主曲率,过滤和编辑其曲率分布,完成曲面空间域到曲率域的映射。采用能量优化处理方法对非线性最小二乘曲面问题进行求解,获得最优匹配于期望曲率的曲面,同时保持原始曲面形状的重要几何属性及特征。实例证明,该方法实用性好,对各向异性光顺、特征增强、多尺度曲率编辑的处理效果理想。Curvature plays a crucial role in geometry processing.This paper proposed a method based on curvature-domain for 3D geometry processing.The method provided a geometry tool to facilitate shape editing,filtering,and synthesis.For a given surface,through evaluating its principle curvatures,filtering and editing the curvature distribution,constructed the mapping to the curvature domain.The energy optimization solved a nonlinear least-squares problem to find the surface that best matched the desired target curvatures while preserving important properties of the original shape.The experimental results show that the effectiveness of the method with processing of anisotropic smoothing,feature enhancement,and multi-scale curvature editing.

关 键 词：曲率域 主曲率 离散能量 离散曲率 曲面光顺 特征增强 非线性最小二乘问题 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]