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国家自然科学基金(11271060): 作品数：11被引量：26H指数：3; 导出分析报告; 相关作者：朱春钢王凡钱江王仁宏宋永志更多>>; 相关机构：大连理工大学河海大学南京农业大学许昌学院更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Journal of Computational Mathematics》《计算机辅助设计与图形学学报》更多>>; 相关主题：REGULARMN非均匀二元样条连续模更多>>; 相关领域：理学自动化与计算机技术电子电信轻工技术与工程更多>>

能量约束下的Bézier曲线构造被引量：5: 《计算机辅助设计与图形学学报》2020年第2期213-221,共9页韩志红朱春钢; 国家自然科学基金(11671068,11271060); Bézier曲线是计算机辅助几何设计中应用广泛的曲线造型工具,构造具有能量约束的曲线也是曲线造型研究的重要内容之一.构造给定首末控制顶点与初始切方向的Bézier曲线,当其满足jerk能量极小时,其余控制顶点可以由已知条件与参数α确定...; 关键词：BÉZIER曲线能量约束曲线构造

THE DESIGN OF BEZIER SURFACE THROUGH QUINTIC BEZIER ASYM PTOTIC QUADRILATERAL: 《Journal of Computational Mathematics》2019年第5期721-738,共18页Hui Wang Chungang Zhu Caiyun Li; The authors are grateful to the reviewers for their helpful comments and suggestions. This work is partly supported by the National Natural Science Foundation of China (Nos. 11671068, 11271060, 11401077).; The asymptotic curve is widely used in astronomy, mechanics and numerical optimization. Moreover, it shows great application potentials in architecture. We focus on the problem how to cover bounded asymptotic curves b...; 关键词：ASYMPTOTIC CURVES BEZIER SURFACE INTERPOLATION QUADRILATERAL

Regular Decomposition in Integer Programming: 《Journal of Mathematical Research with Applications》2018年第2期194-206,共13页Han WANG Chungang ZHU; Supported by the National Natural Science Foundation of China(Grant Nos.11671068,11271060);Fundamental Research of Civil Aircraft(Grant No.MJ-F-2012-04);the Fundamental Research Funds for the Central Universities(Grant No.DUT16LK38); In this paper, we study the problem of regular decomposition in integer program- ming. We apply the radical of binomial ideal and universal Grobner bases to get the regular decomposition forms of a finite integer latt...; 关键词：integer programming regular decompositions binomial ideal universal GrSbnerbases state polytope

An l^(1) Regularized Method for Numerical Differentiation Using Empirical Eigenfunctions: 《Journal of Mathematical Research with Applications》2017年第4期496-504,共9页Junbin LI Renhong WANG Min XU; Supported by the National Nature Science Foundation of China(Grant Nos.11301052,11301045,11271060,11601064,11671068);the Fundamental Research Funds for the Central Universities(Grant No.DUT16LK33);the Fundamental Research of Civil Aircraft(Grant No.MJ-F-2012-04); We propose an ？~1 regularized method for numerical differentiation using empirical eigenfunctions. Compared with traditional methods for numerical differentiation, the output of our method can be considered directly ...; 关键词：numerical differentiation empirical eigenfunctions ?~1 regularization mercer kernel

Degenerations of rational Bézier surface with weights in the form of exponential function被引量：2: 《Applied Mathematics(A Journal of Chinese Universities)》2017年第2期164-182,共19页ZHANG Yue ZHU Chun-gang GUO Qing-jie; Supported by the National Natural Science Foundation of China(11671068,11271060,11601064,11290143);Fundamental Research of Civil Aircraft(MJ-F-2012-04);the Fundamental Research Funds for the Central Universities(DUT16LK38); Rational Bezier surface is a widely used surface fitting tool in CAD. When all the weights of a rational B@zier surface go to infinity in the form of power function, the limit of surface is the regular control surface...; 关键词：rational Bezier surface WEIGHTS regular control surface toric degenerations exponential function.

The classification of bi-quintic parametric polynomial minimal surfaces: 《Applied Mathematics(A Journal of Chinese Universities)》2017年第1期14-26,共13页LI Cai-yun ZHU Chun-gang; Supported by the National Natural Science Foundation of China(11401077,11671068,11271060);the Fundamental Research of Civil Aircraft of China(MJ-F-2012-04);the Fundamental Research Funds for the Central Universities of China(DUT16LK38); Parametric polynomial surface is a fundamental element in CAD systems. Since the most of the classic minimal surfaces are represented by non-parametric polynomial, it is interesting to study the minimal surfaces repre...; 关键词：polynomial parametric curvature canonical compute quadratic satisfy isothermal acquire verify

ON THE PROBLEM OF INSTABILITY IN THE DIMENSIONS OF SPLINE SPACES OVER T-MESHES WITH T-CYCLES被引量：2: 《Journal of Computational Mathematics》2015年第3期248-262,共15页Qing-Jie Guo Ren-Hong Wang Chong-Jun Li; Acknowledgments. This work is partly supported by the National Natural Science Foundation of China （Nos. 11290143, Ul135003, 11471066, 11271060, 11301052）, Fundamental Research of Civil Aircraft （No. MJ-F-2012-04）, and the Fundamental Research Funds for the Central Universities （Nos. DUT13LK07, DUT13LK45, DUT14YQ111）.; The T-meshes are local modification of rectangular meshes which allow T-junctions. The splines over T-meshes are involved in many fields, such as finite element methods, CAGD etc. The dimension of a spline space is a ...; 关键词：Spline space Smoothing cofactor-conformality method Instability in the dimension T-meshes.

一种二次三角B样条曲线的性质被引量：1: 《许昌学院学报》2014年第5期7-10,共4页宋永志; 国家自然科学基金项目(11271060);国家青年基金项目(10801024); 利用构造样条基函数的方法得到了一组三角基函数,讨论了这组三角基函数的性质,用这组基得到了一种新的二次三角B样条曲线,并使用研究均匀B样条的方法探讨了这种二次三角曲线,给出了二次三角B样条曲线的一些性质.; 关键词：三角基函数均匀B样条二次三角B样条曲线几何造型

Analysis of orthogonal multi-matching pursuit under restricted isometry property被引量：4: 《Science China Mathematics》2014年第10期2179-2188,共10页DAN Wei; supported by the Science Foundation of Guangdong University of Finance & Economics(Grant No.13GJPY11002);National Natural Science Foundation of China(Grant Nos.11071031,11271060,11290143,U0935004 and U1135003);the Guangdong Natural Science Foundation(Grant No.S2012010010376);the Guangdong University and Colleges Technology Innovation Projects(Grant No.2012KJCX0048); Orthogonal multi-matching pursuit（OMMP）is a natural extension of orthogonal matching pursuit（OMP）in the sense that N（N≥1）indices are selected per iteration instead of 1.In this paper,the theoretical performance...; 关键词：sparse recovery orthogonal matching pursuit restricted isometry property

二元三次样条空间S_3^(1,2)(△_(mn)^(2))的样条拟插值被引量：8: 《中国科学：数学》2014年第7期769-778,共10页钱江王仁宏朱春钢王凡; 国家自然科学基金(批准号:11271060和11290143);河海大学博士后科研基金(批准号:2016-412051);民用飞机专项(批准号:MJ-F-2012-04);中央基本科研业务费(批准号:DUT14YQ111)资助项目; 本文首先利用由两组具有局部最小支集的样条所组成的基函数,构造非均匀2型三角剖分上二元三次样条空间S1,23(△(2)mn)的若干样条拟插值算子.这些变差缩减算子由样条函数B1ij支集上5个网格点或中心和样条函数B2ij支集上5个网格点处函数...; 关键词：二元样条光滑余因子协调法非均匀2型三角剖分拟插值连续模

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