面向stl模型的几何自适应曲面网格生成

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1、Seediscussions,stats,andauthorprofilesforthispublicationat:https://www.researchgate.net/publication/273004022Geometry-basedAdaptiveSurfaceMeshGenerationforSTLModels(inChinese)ArticleinJournalofMechanicalEngineering·January2011CITATIONSREADS01794authors,including:JianjunChenZheng-geHuangZhejian

2、gUniversityZhejiangUniversity61PUBLICATIONS219CITATIONS19PUBLICATIONS127CITATIONSSEEPROFILESEEPROFILEYaoZhengZhejiangUniversity319PUBLICATIONS1,542CITATIONSSEEPROFILESomeoftheauthorsofthispublicationarealsoworkingontheserelatedprojects:FlightVehicleDesignViewprojectTurbomachineryandPropulsionS

3、ystemsViewprojectAllcontentfollowingthispagewasuploadedbyYaoZhengon03March2015.Theuserhasrequestedenhancementofthedownloadedfile.第47卷第7期机械工程学报Vol.47No.72011年4月JOURNALOFMECHANICALENGINEERINGApr.2011DOI：10.3901/JME.2011.07.128*面向STL模型的几何自适应曲面网格生成1,221,21,2陈建军梁义黄争舸郑耀(1.浙江大学航空航天学院杭州310027；2.浙江大学工程

4、与科学计算研究中心杭州310027)摘要：采用保特征的模型分解方法将STL模型分割为多个子域，并为每个子域构建参考平面，将一类基于映射思想的前沿推进曲面网格生成算法应用于子域网格生成。在子域上构建G1连续的三角Bernstein-Bézier曲面，利用曲面的方向导矢计算子域的黎曼度量，在黎曼空间生成参数平面网格，以消除映射畸变。考虑曲面曲率和邻近特征计算边界采样点尺寸，利用采样点的Delaunay三角化为背景网格建立几何自适应尺寸场，通过尺寸场光滑化确保不同尺寸网格之间的合理过渡。数值试验表明，算法能针对复杂的STL模型生成高质量的自适应网格。关键词：曲面网格生成STL自适应黎曼度

5、量网格尺寸中图分类号：O242.21Geometry-basedAdaptiveSurfaceMeshGenerationforSTLModels1,221,21,2CHENJianjunLIANGYiHUANGZhenggeZHENGYao(1.SchoolofAeronauticsandAstronautics,ZhejiangUniversity,Hangzhou310027;2.CenterforEngineeringandScientificComputation,ZhejiangUniversity,Hangzhou310027)Abstract：AnSTLmodeli

6、sdividedintomanysub-domainswithfeaturespreservedatsub-domainboundaries,andthenaparametricplaneisconstructedforeachsub-domain,whereamappingbasedadvancingfrontmeshgenerationalgorithmisappliedtogeneratinghighqualitytriangularmesh.Inordertoremovemappingdistortionbetweentherealandparametricspaces,a

7、G1continuoustriangularBernstein-Béziersurfaceisreconstructedforeachsub-domaintohelpcalculatetheRiemannianmetricsofsurfacepoints.Meshsizesofboundarysamplepointsarespecifiedbyautomaticcalculationsofcurvatureandproximityfeaturesofsurfacemo