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基于数据重建的三角网格模型简化优化方法
引用本文:张霞,段黎明,薛涛.基于数据重建的三角网格模型简化优化方法[J].强激光与粒子束,2014,26(5):059006-318.
作者姓名:张霞  段黎明  薛涛
作者单位:1.重庆大学 光电技术及系统教育部重点实验室 ICT研究中心, 重庆 400044;
基金项目:重庆市科技攻关计划项目(CSTC2012GG-YYJS70016); 国家重大科学仪器设备开发专项(2013YQ030629)
摘    要:由CT切片数据重建得到的三角网格模型常存在数据量大、狭长三角形多等问题,针对这些问题,研究了一种保持特征的高质量三角网格模型的简化优化方法。该方法分为网格简化和网格优化两个阶段。首先,采用基于曲面变化的二次误差度量计算边折叠代价,并按代价值的大小进行迭代的折叠简化,可较好地保持模型表面的特征;其次,通过二阶加权伞算子对简化模型中局部存在的狭长三角形进行优化处理,改善三角网格模型的质量。实验结果表明,该方法能够较好地保持特征区域的细节信息,并可靠地生成高质量、低几何误差的简化模型。

关 键 词:逆向工程    网格简化    网格优化    边折叠    二次误差度量    伞算子
收稿时间:2013/10/11

Simplification and optimization of triangle meshing models reconstructed from slicing data
Affiliation:1.ICT Research Center,Key Laboratory of Optoelectronic Technology and Systems of Ministry of Education,Chongqing University,Chongqing 400044,China;2.College of Mechanical Engineering,Chongqing University,Chongqing 400044,China
Abstract:To solve the problem of huge amount of data sets and narrow triangles existed in triangular mesh model, a feature-preserving and high quality triangular mesh simplification and optimization method was studied. The method was divided into two stages: mesh simplification and mesh optimization. Firstly, it adopted quadric error metric based surface variation to compute the edge collapsing cost, and iteratively simplified mesh model according to the cost, which could efficiently preserve the features on the surface. Secondly, the local narrow triangles were optimized by a weighted second-order umbrella operator, and the quality of mesh model was improved by this way. The experiment results show that this method works well for preserving detailed information of feature regions whilst reliably producing high-quality and low geometrical error simplified mesh.
Keywords:reverse engineering  mesh simplification  mesh optimization  edge collapse  quadric error metric  umbrella operator
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