B-SPLINE

作品数：246被引量：414H指数：10
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An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2020年第3期359-378,共20页Muhammad Yaseen Muhammad Abbas 
In this paper,a proficient numerical technique for the time-fractional telegraph equation(TFTE)is proposed.The chief aim of this paper is to utilize a relatively new type of B-spline called the cubic trigonometric B-s...
关键词：Time-fractional telegraph equation finite difference method Cubic trigonometric B-splines collocation method Stability CONVERGENCE 
Bounds on partial derivatives of NURBS surfaces
《Applied Mathematics(A Journal of Chinese Universities)》2017年第3期281-293,共13页WANG Guo-jin XU Hui-xia HU Qian-qian 
Supported by the National Natural Science Foundation of China(61572430,61303144);the Natural Science Foundation of Zhejiang Province(LY15F020002,LY16F020020);the Ningbo Natural Science Foundation(2016A610223)
In this paper, we estimate the partial derivative bounds for Non-Uniform Rational B-spline(NURBS) surfaces. Firstly, based on the formula of translating the product into sum of B-spline functions, discrete B-spline th...
关键词：NURBS curve NURBS surface derivative bound Dir function discrete B-spline 
New cubic rational basis with tension shape parameters被引量：4
《Applied Mathematics(A Journal of Chinese Universities)》2015年第3期273-298,共26页ZHU Yuan-peng HAN Xu-li 
Supported by the National Natural Science Foundation of China(60970097 and 11271376);Postdoctoral Science Foundation of China(2015M571931);Graduate Students Scientific Research Innovation Project of Hunan Province(CX2012B111)
By using the blossom approach, we construct four new cubic rational Bernsteinlike basis functions with two shape parameters, which form a normalized B-basis and include the cubic Bernstein basis and the cubic Said-Bal...
关键词：Bernstein basis Said-Ball basis tension shape parameter totally positive property B-spline basis Bernstein-Bezier basis 
An orthogonal basis for non-uniform algebraic-trigonometric spline space被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2014年第3期273-282,共10页WEI Yong-wei WANG Guo-zhao 
Supported by the National Natural Science Foundation of China(60933008,61272300 and 11226327);the Science&Technology Program of Shanghai Maritime University(20120099)
Non-uniform algebraic-trigonometric B-splines shares most of the properties as those of the usual polynomial B-splines. But they are not orthogonai. We construct an orthogonal basis for the n-order（n ≥ 3） algebraic...
关键词：CAGD algebraic-trigonometric spline space NUAT B-spline orthogonal spline 
Approximate merging of B-spline curves and surfaces被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2010年第4期429-436,共8页CHEN Jun： WANG Guo-jin 
Supported by the National Natural Science Foundation of China (60873111, 60933007)
Applying the distance function between two B-spline curves with respect to the L2 norm as the approximate error, we investigate the problem of approximate merging of two adjacent B-spline curves into one B-spline curv...
关键词：Computer aided geometric design approximate merging B-spline curves and surfaces. 
CONSTRUCTION OF COMPACTLY SUPPORTED SEMI-ORTHOGONAL WAVELETS
《Applied Mathematics(A Journal of Chinese Universities)》2003年第4期453-460,共8页BiNing HuangDaren ZhangZeyin 
In this paper,the construction of M-band semi-orthogonal wavelets and some examples of B-spline wavelets are given.
关键词：semi-orthogonal FILTER length of the Laurent polynomial B-SPLINE 
THE RELATIONSHIP BETWEEN PROJECTIVE GEOMETRIC AND RATIONAL QUADRATIC B-SPLINE CURVES
《Applied Mathematics(A Journal of Chinese Universities)》1998年第4期445-450,共6页HAN XI’AN AND HUANG XILI 
Abstract For two rational quadratic B spline curves with same control vertexes, the cross ratio of four collinear points are represented: which are any one of the vertexes, and the two points that the ray initialing f...
关键词：Computer aided geometric design rational B-spline curve cross ratio weight 
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