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《Journal of Beijing Institute of Clothing》 2002-01
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A Convexity Preserving Quadratic B-spline Interpolation Curve

Wang Chengwei Yao YunDepartment of Fundamental Courses, Beijing Institute of Clothing Technology, Beijing 100029  
Although B-spline curve has convexity preserving property, the curve doesn't interpolate any vertices of the given control polygon. If we insert four control points between two consecutive vertices of polygon, the quartic B-spline curve generated by these control points interplates all vertices of the given control polygon, and the interpolation curve is convexity preserving. The local modificatons of the curve are possible. At last, one numerical example is given.
【CateGory Index】: O241.5
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Wang Chengwei; Yao Yun Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029;Quartic B-spline Curves With Given Tangent Polygons[J];Journal of Beijing Institute of Clothing;2000-02
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 LIU Zhi(School of Sciences, Hefei University of Technology, Hefei 230009, China);C~3 continuous Bézier spline curve with given tangent polygon[J];Journal of Hefei University of Technology(Natural Science);2005-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Wang Chengwei; Yao Yun(Department of Fundamental Courses,Beijing Institule of Clothing Technology,Beijing 100029);A Convexity Preserving Uniform Quadratic B-spline Interpolation Curve[J];JOURNAL OF BEIJING INSTITUTE OF CLOTHING;1999-02
2 Wang Chengwei; Yao Yun Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029;Quartic B-spline Curves With Given Tangent Polygons[J];Journal of Beijing Institute of Clothing;2000-02
3 JIANRONG TAN(ZHEJIANG UNIVERSITY)RUIAN HU(HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY);A NEW ALGORITHM FOR INTERPOLATION WITH UNIFORM CUBIC B-SPLINE[J];Journal of Engineering Graphics;1988-02
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9 ZHANG San Yuan (Department of Computer Science and Engineering, Zhejiang University, Hangzhou 310027);Interpolating 2D Data Set by Conic Spline with G~2 Continuity[J];JOURAAL OF COMPUTER AIDED DESIGN & COMPUTER GRAPHICS;2000-06
10 Han Xuli Liu Shengjun (Department of Applied Mathematics and Applied Software, Central South University,Changsha 410083);An Extension of the Cubic Uniform B-Spline Curve[J];Journal of Computer Aided Design & Computer Graphics;2003-05
【Secondary References】
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1 REN Fei,WANG Jia-run,QIU Jian-wei,NIE Yun(North China Institute of Computing Technology,Beijing 100083,China);Quick algorithm of solving control points of closed B-Spline curve and application[J];Computer Engineering and Design;2011-04
【Secondary Citations】
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1 Fang Kui National Defense University of Science and Technology;CLOSED(C~2-CONTINUOUS)BZIER CURVES WITH GIVEN TANGENT POLYGONS[J];Mathematica Numerica Sinica;1991-01
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