国家自然科学基金(60533060)

作品数：20被引量：18H指数：3
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The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece被引量：3
《Science China Mathematics》2012年第6期1269-1279,共11页LAI YiSheng DU WeiPing WANG RenHong 
supported by National Natural Science Foundation of China (Grant Nos.11071031,60533060,11101366,10771189);the NSFC-Guangdong Joint Fund (Grant No. U0935004);the Zhejiang Provincial Natural Science Foundation (Grant Nos. Y7080068,Y6100126)
This paper proposes a new method for the construction of Bernstein-Bezier algebraic hypersurface on a simplex with prescribed topology. The method is based on the combinatorial patchworking of Viro method. The topolog...
关键词：Viro method Bernstein-Bezier polynomial Bernstein-Bezier algebraic hypersurface piece Newtonpolytope patchwork chart 
基于指导向量构造隐式曲线(英文)
《中国科学技术大学学报》2010年第12期1211-1224,共14页徐晨东 邓建松 陈发来 杨周旺 
Supported by National Key Basic Research(973)Program of China(2004CB318000);NSFC(60533060,60872095);the Specialized Research Fund for the Doctoral Program of Higher Education(20060358055);Subject Foundation in Ningbo University(xkl09046)
提出了一种基于由给定控制多边形定义的指导向量构造隐式代数曲线的方法.同时推导了所生成的代数曲线的表达式并具体分析了其性质.这种方法可以用来构造插值曲线,而且曲线的形状很容易修改与调整.此外,该方法也可直接推广用于构造隐式曲面.
关键词：计算机辅助几何设计 代数曲线 几何连续 指导向量 
Construction of n-sided polygonal spline element using area coordinates and B-net method被引量：4
《Acta Mechanica Sinica》2010年第5期685-693,共9页Juan Chen Chong-Jun Li Wan-Ji Chen 
supported by the National Natural Science Foundation of China (60533060, 10672032, 10726067);Science Foundation of Dalian University of Technology (SFDUT07001)
In general, triangular and quadrilateral elements are commonly applied in two-dimensional finite element methods. If they are used to compute polycrystalline materials, the cost of computation can be quite significant...
关键词：Finite element method n-sided polygonalelement - Bivariate spline interpolation The second ordercompleteness 
三角剖分的若干性质
《鲁东大学学报（自然科学版）》2010年第3期200-203,共4页龚佃选 王玲 王凯立 屈静国 
国家自然科学基金项目(60533060);河北省教育厅科研计划项目(2009448);河北省自然科学基金项目(A2010000908)
对三角剖分特别是对平面单连通区域上的偶三角剖分做了更加细致的分析,得到了一些新的性质,并证明了任意平面偶三角剖分都可以表示成一些星形域的并.
关键词：偶剖分 三角剖分 3顶点符号 
A code-based approach for labeling in complex irregular regions
《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2009年第10期1450-1460,共11页Zhi-long LI Jun-jie CAO Xiu-ping LIU Zhi-xun SU 
supported by the National Natural Science Foundation of China(Nos.60873181,60673006 and 60533060);the Program for New Century Excellent Talents in University,China(No.NCET-05-0275)
Labeling information in a complex irregular region is a useful procedure occurring frequently in sheet metal and the furniture industry which will be beneficial in parts management.A fast code-based labeler(FCBL) is p...
关键词：LABELING Freeman codes Region filling Optimal direction SHIPBUILDING 
A spherical parameterization approach based on symmetry analysis of triangular meshes被引量：2
《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2009年第7期1009-1017,共9页Jian-ping HU Xiu-ping LIU Zhi-xun SU Xi-quan SHI Feng-shan LIU 
Project supported by the National Natural Science Foundation of China (Nos. 60673006 and 60533060);the Program for New Century Excellent Talents in University (No. NCET-05-0275), China;the IDeA Network of Biomedical Research Excellence Grant (No. 5P20RR01647206) from National Institutes of Health (NIH), USA
We present an efficient spherical parameterization approach aimed at simultaneously reducing area and angle dis-tortions. We generate the final spherical mapping by independently establishing two hemisphere parameteri...
关键词：Triangular mesh Spherical parameterization Symmetry analysis 
Real zeros of the zero-dimensional parametric piecewise algebraic variety被引量：3
《Science China Mathematics》2009年第4期817-832,共16页LAI YiSheng WANG RenHong WU JinMing 
supported by National Natural Science Foundation of China (Grant Nos. 10271022, 60373093,60533060);the Natural Science Foundation of Zhejiang Province (Grant No. Y7080068);the Foundation of Department of Education of Zhejiang Province (Grant Nos. 20070628 and Y200802999)
The piecewise algebraic variety is the set of all common zeros of multivariate splines. We show that solving a parametric piecewise algebraic variety amounts to solve a finite number of parametric polynomial systems c...
关键词：piecewise algebraic variety partial cylindrical algebraic decomposition number of real zeros 14M15 14Q10 41A15 41A46 65D07 65D10 
Nther-type theorem of piecewise algebraic curves on quasi-cross-cut partition被引量：3
《Science China Mathematics》2009年第4期701-708,共8页ZHU ChunGang & WANG RenHong School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China 
supported by National Natural Science Foundation of China (Grant Nos. 60373093, 60533060,10726068, 10801024);the Innovation Foundation of Key Laboratory of High Temperature Gasdynamics of Chinese Academy of Sciences, China
The effect of Pr substitution for Dy on the magnetic and magnetostrictive properties, anisotropy, spin reorientation and Mssbauer effect of a series of Tb0.3Dy0.7-xPrx(Fe0.9Al0.1)1.95 (x=0,0.1,0.20,0.25,0.30,0.35) all...
关键词：MAGNETOSTRICTION ANISOTROPY spin reorientation MSSBAUER 
Adaptive Surface Reconstruction Based on Tensor Product Algebraic Splines
《Numerical Mathematics(Theory,Methods and Applications)》2009年第1期90-99,共10页Xinghua Song Falai Chen 
supported by the National Key Basic Research Project of China(No.2004CB318000);One Hundred Talent Project of the Chinese Academy of Sciences,the NSF of China(No.60225002,No.60533060);Doctorial Program of MOE of China and the 111 Project(No.B07033).
Surface reconstruction from unorganized data points is a challenging problem in Computer Aided Design and Geometric Modeling. In this paper, we extend the mathematical model proposed by Juttler and Felis （Adv. Comput...
关键词：Surface reconstruction algebraic spline surface adaptive knot insertion. 
Comparison of CSC method and the B-net method for deducing smoothness condition
《Progress in Natural Science:Materials International》2009年第1期25-31,共7页Renhong Wang,Kai Qu Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China 
supported by National Natural Science Foundation of China (Grant Nos.60533060,60373093,10726067,10726068 and 10801024)
The first author of this paper established an approach to study the multivariate spline over arbitrary partition,and presented the so-called conformality method of smoothing cofactor(the CSC method).Farin introduced t...
关键词：Multivariate spline Smoothing cofactor Global conformality condition B-net method Smoothness condition 
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