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空间曲线几何Hermite插值的B样条方法(英文) 被引量:6
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作者 朱春钢 王仁宏 《软件学报》 EI CSCD 北大核心 2005年第4期634-642,共9页
在给定的GC2插值条件,利用de Boor的构造平面曲线的GC2-Hermite插值方法,构造了一条具有两个自由度的三次B样条插值曲线,并证明插值曲线是局部存在的且具有4阶精度.
关键词 样条 曲线 插值 几何光滑 精度
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基于B样条的空间曲线几何Hermite插值
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作者 历莉 《佳木斯大学学报(自然科学版)》 CAS 2010年第2期271-275,共5页
在给定空间曲线两个端点的位置、切方向、曲率向量和挠率的情况下,构造了一条具有三个自由度的三次B样条曲线,并对给定的空间曲线进行几何Hermite插值.证明了插值问题的解是局部存在的,而且能够达到5阶逼近度.
关键词 样条 插值 精度 几何光滑
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基于法向修正及中值滤波的点云平滑 被引量:25
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作者 苏志勋 栗志扬 王小超 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2010年第11期1892-1898,共7页
为了在降噪的同时保持点云的几何特征,并较好地处理离群点,通过对传统的法向量修正方法进行改进,提出基于L1中值滤波的点云平滑方法.根据核回归估计理论建立一种法向修正的框架,并在此框架下引入二阶Hessian矩阵,提高了法向估计的精度;... 为了在降噪的同时保持点云的几何特征,并较好地处理离群点,通过对传统的法向量修正方法进行改进,提出基于L1中值滤波的点云平滑方法.根据核回归估计理论建立一种法向修正的框架,并在此框架下引入二阶Hessian矩阵,提高了法向估计的精度;以经典的L1中值理论为基础,提出一种迭代降噪的方法,并指出了该方法与mean-shift方法和双边滤波方法的联系.实验结果表明,该法向修正及点云平滑方法简单、有效,在处理原始点云时具有优势. 展开更多
关键词 核回归 L1中值 几何光滑
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Numerical Simulation of Water Mitigation Effects on Shock Wave with SPH Method 被引量:3
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作者 毛益明 方秦 +1 位作者 张亚栋 高振儒 《Transactions of Tianjin University》 EI CAS 2008年第5期387-390,共4页
The water mitigation effect on the propagation of shock wave was investigated numerically. The traditional smoothed particle hydrodynamics (SPH) method was modified based on Riemann solution. The comparison of numeric... The water mitigation effect on the propagation of shock wave was investigated numerically. The traditional smoothed particle hydrodynamics (SPH) method was modified based on Riemann solution. The comparison of numerical results with the analytical solution indicated that the modified SPH method has more advantages than the traditional SPH method. Using the modified SPH algorithm, a series of one-dimensional planar wave propagation problems were investigated, focusing on the influence of the air-gap between the high-pressure air and water and the thickness of water. The numerical results showed that water mitigation effect is significant. Up to 60% shock wave pressure reduction could be achieved with the existence of water, and the shape of shock wave was also changed greatly. It is seemly that the small air-gap between the high-pressure air and water has more influence on water mitigation effect. 展开更多
关键词 water mitigation Riemann solution smoothed particle hydrodynamics (SPH) method shock wave
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Some Open Problems in Geometric Topologyof Low Dimensions
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作者 Alberto CAVICCHIOLI(Department Of Mathematics,University of Modena,Via Campi 213/B, 41100 Modena, Italy )Dusan REPOVS(Institute for Mathematics, Physics and Mechanics,University of Ljubljana,P. O. Box 64, Ljubljana 61111,Slovenia 《Chinese Quarterly Journal of Mathematics》 CSCD 1995年第4期8-14,共7页
SomeOpenProblemsinGeometricTopologyofLowDimensions¥AlbertoCAVICCHIOLI(DepartmentOfMathematics,UniversityofMo... SomeOpenProblemsinGeometricTopologyofLowDimensions¥AlbertoCAVICCHIOLI(DepartmentOfMathematics,UniversityofModena,ViaCampi213/... 展开更多
关键词 approximation by embeddings ISOTOPY knot space SPINE s-cobordism homotopytype smooth manifolds: crystallization genus homotopy sphere open problems
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Compliant mechanisms design based on pairs of curves 被引量:9
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作者 WANG NianFeng ZHANG XianMin 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第8期2099-2106,共8页
The success of compliant mechanism design by structural topology optimization approach depends,to a large extent,on its structural geometry representation scheme.In this work,a novel representation scheme based on pai... The success of compliant mechanism design by structural topology optimization approach depends,to a large extent,on its structural geometry representation scheme.In this work,a novel representation scheme based on pairs of curves is presented.In the representation,the structure is characterized by a set of input/output(I/O) regions.While it is still unknown how the rest of the design space will be occupied by the structure,the I/O regions must exist somewhere because any structure must have parts which interact with its surroundings by way of at least one loading region,one support region,and one output region.For a valid structural design,pairs of Bezier curves are used to connect I/O regions in order to form one single connected load-bearing structure.The boundary is explicitly described,so the need for smoothening of the blurred and jagged edges can be avoided by developing such a representation scheme to directly generate smooth boundary structures.With the scheme,shape and topology can be optimized simultaneously,and the obtained topology solutions have no check-board phenomena nor intermediate zones.A multi-objective genetic algorithm is then applied to couple with the representation scheme for defining and encoding the structural geometry in the form of graph.The solution framework is integrated with a nonlinear fixed grid finite element method(FG-FEM) code for large-displacement analyses of the compliant structures.Simulation results from a displacement inverter indicated that the proposed representation scheme is appropriate. 展开更多
关键词 compliant mechanism pair of curves topology optimization genetic algorithm
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