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关于Grünwald算子的多元推广 被引量:6
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作者 林路 《浙江大学学报(理学版)》 CAS CSCD 2002年第1期8-11,共4页
考虑 R2 中三角域和多边形域上的 Grünwald插值算子及其一种基于非负凸组合的有理变形 ,证明了两种插值的存在性和唯一性 ,给出了相应的逼近估计 ,且最后的逼近估计是精确的 ,从而给出了Grünwald算子非乘积型多元推广不分片... 考虑 R2 中三角域和多边形域上的 Grünwald插值算子及其一种基于非负凸组合的有理变形 ,证明了两种插值的存在性和唯一性 ,给出了相应的逼近估计 ,且最后的逼近估计是精确的 ,从而给出了Grünwald算子非乘积型多元推广不分片和分片的两个范例。 展开更多
关键词 三角网点 三角剖分 逼近估计 Gruenwald算子 正插值算子 Gruenwald插值 非乘积型多元推广
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Tangential stress analysis of myocardial wall by finite element method
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作者 Guan Qiu Jiang Cao +2 位作者 Wang Xiaoyan Chen Shengyong Guan Fang 《Engineering Sciences》 EI 2011年第1期84-89,共6页
A novel method is presented to build the triangular surface model and calculate the tangential stress and strain of myocardial wall ,which can be further used to reflect the left ventricle twisting—a sensitive index ... A novel method is presented to build the triangular surface model and calculate the tangential stress and strain of myocardial wall ,which can be further used to reflect the left ventricle twisting—a sensitive index to assess the systolic and diastolic function of heart. Firstly, a point distribution model is used to obtain the feature points of the ventricular surface in medical images. Secondly, the surface model is constructed by triangular mesh, and then the subdivision strategy is introduced to refine the model. Thirdly, plane projection and finite element method(FEM) are applied to calculate the tangential stress and strain.Finally, the distribution of tangential modulus of elasticity is discussed. The stimulation results show that the proposed method can be used to compute the tangential stress and strain of myocardial wall effectively and the computing result is consistent with the results mentioned in the literatures. 展开更多
关键词 FEM stress and strain of myocardial wall tangential modulus of elasticity SUBDIVISION
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FasFast Triangulation and Local Optimization for Scan Data of Laser Radar
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作者 石路 杜正春 +1 位作者 姚振强 洪迈生 《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第1期1-5,共5页
In order to study the triangulation for the point cloud data collected by three-dimensional laser radar,in accordance with the line-by-line characteristics of laser radar scanning,an improved Delaunay triangulation me... In order to study the triangulation for the point cloud data collected by three-dimensional laser radar,in accordance with the line-by-line characteristics of laser radar scanning,an improved Delaunay triangulation method is proposed to mesh the point cloud data as a triangulation irregular network.Based on the geometric topology location information among radar point cloud data,focusing on the position relationship between adjacent scanning line of the point data,a preliminary match network is obtained according to their geometric relationship.A reasonable triangulation network for the object surface is acquired after the use of local optimization on initial mesh by Delaunay rule.Meanwhile,a new judging rule is proposed to contrast the triangulation before and after the optimization on the network.The result shows that triangulation for point cloud with full use of its own characteristics can improve the speed of the algorithm obviously,and the rule for judging the triangulation can evaluate the quality of network. 展开更多
关键词 TRIANGULATION local optimization point cloud data laser radar
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