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《JOURAAL OF COMPUTER AIDED DESIGN & COMPUTER GRAPHICS》 1996-02
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A TRIGONOMETRIC-FUNCTION BASIS ALGORITHMFOR THE NUMERICAL SIMULATIONOF ARBITRARILY CURVED SURFACES

Zhu Renzhi and Cheng Mosong(Univ.of Scarce & Technology of China, Dept. of PrecisionMachinery & Precision Instrumentation,Hefei 230026)  
in CAGD, polynomials are usually employed as the basic functions for theinterpolation of curves and surfaces. In this paper, a new kind of approximation curvesand surfaces based on the trigonometric functions is developed,which retains the mainsuperiority of B-splines method and meets C3 continuity while the cubic B-splines can only meet C2 continuity. Besides, the present method works for the case of ellipses, whilepolynomial does not. An example is given to illustrate the design of a modeling configuration.
【CateGory Index】: TP391.72
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【References】
Chinese Journal Full-text Database 10 Hits
1 WANG Cheng-wei(Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China);Cubic Trigonometric Polynomial Spline Curves with Shape Parameter[J];Journal of Beijing Institute of Clothing Technology(Natural Science Edition);2008-03
2 TAN Ying 1, QI Lan fen 1; DONG Jin ming 2 (1.Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; 2.Beijing University of Aeronautics and Astronautics, Dept. of Electronics Engineering, Beijing 100083, China);The RCS computation of targets modeled with B_3 spline surfaces[J];Chinese Journal of Radio Science;1999-04
3 WANG Cheng wei (Dept.of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China);C~3 continuous rational spline curve with given tangent polygon[J];Basic Sciences Journal of Textile Universities;2001-03
4 WANG Cheng-wei (Department of Fundamental Courses, Beijing Institute of Clothing Technology, Beijing 100029, China);C~3 Continuous B_3-spline Curve with Given Tangent Polygon[J];Journal of Engineering Graphics;2002-01
5 WU Xiao-qin (School of Mathematics & Computation Science, Hunan University of Science & Technology, Xiangtan 411201, China);Piecewise Trigonometric Polynomial Spline Curves by Three-Points[J];Journal of Engineering Graphics;2005-02
6 WU Xiao-qin1,2,HAN Xu-li2(1.School of Mathematics & Computation Science,Hunan University of Science & Technology,Xiangtan Hunan 411201,China;2.School of Mathematical Science & Computing Technology,Central South University,Changsha Hunan 410083,China);Quadratic Trigonometric Polynomial Curves with Shape Parameter[J];Journal of Engineering Graphics;2006-01
7 WU Xiao-qin1,2,HAN Xu-li2,LUO Shan-ming3(1.School of Mathematics & Computation Science,Hunan University of Science & Technology,Xiangtan Hunan 411201,China;2.School of Mathematical Science & Computing Technology,Central South University,Changsha Hunan 410083,China;3.School of Mechanical Engineering,Hunan University of Science & Technology,Xiangtan Hunan 411201,China);Quadratic Trigonometric Polynomial Bézier Curves with a Shape Parameter[J];Journal of Engineering Graphics;2008-01
8 SU Ben-yue~(1,2), HUANG You-du~1 (1.Department of Mathematics and Information, Hefei University of Technology,Hefei 230009, China; 2.Department of Mathematics, Anqing Teachers College, Anqing 246011, China)$$$$;Properties and Applications of T-B Splines[J];College Mathematies;2005-01
9 JIN Yi-ming~1, WANG Guo-zhao~2 (1.Zhejiang Gongshang University,Hangzhou 310035,China; 2.Dept. of Math.,Zhejiang Univ.,Hangzhou 310027,China);Generation and properties about quintic C-Bézier curves[J];Applied Mathematics A Journal of Chinese Universities;2005-01
10 XIE Jin~(1,2),WU Hong-yi~1(1.College of Science,Hefei University of Technology,Hefei 230009,China;2.Department of Mathematics and Physics,Heifei University,Hefei 230601,China);A Class of Quadratic Trigonometric Bézier Curves with Two Shape Parameters[J];Journal of Hefei University(Natural Sciences);2006-01
China Proceedings of conference Full-text Database 1 Hits
1 Xu Xiu-ying, Liu Zhuo, Wang Bo-liang (Department of Computer Science, Xiamen University, Xiamen, 361005;College of Electricity Science and Engineering, National University of Defense Technology,Changsha 410073;;An Adaptive Fitting Algorithm of 3D Range Image Based on Trigonometric Function[A];[C];2005
【Citations】
Chinese Journal Full-text Database 3 Hits
1 Lin Anwei;THE GENERATING AND JOINING OF NURBS SURFACES[J];Computer Engineering;1992-02
2 Qin Kaihuai, Sun Jiaguang, Fan Gang Department of Computer Science, Tsinghua University, Beijing, 100084;CUBIC NURBS CURVE-INTERPOLATION METHOD[J];Journal of Computer Aided Design & Computer Graphics;1993-03
3 Wang Xiyong Wang Jiaye Department of Computer Science, Shandong University, Jinan, 250100;AN IMPROVEMENT TO NIRA'S 4-POINT INTERPOLATION SUBDIVISION SCHEME FOR CURVE DESIGN[J];Journal of Computer Aided Design & Computer Graphics;1993-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Su ming (Shaanxi Gongyun Institute,Xi'an 710003,Shaanxi,China);The envelope of rational B-B surfaces over triangles[J];JOURNAL OF BAOJI COLLEGE OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION);2000-03
2 Xu Desheng (Department of Mechanical Engineering);Study on Form of B-Spline[J];;1992-03
3 Tan Haiyang; Chen Ruoling(Basic Course Department);A METHOD AND PRACTICE OF GENERATING THREE DIMENSIONS GRAPHICS COORDINATE[J];JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY;1997-03
4 HE Yi, LI Jin bao, GONG De jun (Changsha Communications University, Changsha 410076, China);The Research on Application of Cubic NURBS Curves in Highway Alignment Design[J];JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY;1999-04
5 LI Yu-guang (Department of Mechanical Engineering, Dalian University, Dalian 116622, China);The Development and Application of CAGD Systems of Curve Shape of Bodywork[J];Journal of Dalian University;2001-02
6 TAN Ying 1, QI Lan fen 1; DONG Jin ming 2 (1.Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; 2.Beijing University of Aeronautics and Astronautics, Dept. of Electronics Engineering, Beijing 100083, China);The RCS computation of targets modeled with B_3 spline surfaces[J];Chinese Journal of Radio Science;1999-04
7 Zhang Rongsheng(Yibin District Design Institute of Water and Electricity Designing,Sichuan);The Analysis Design and Calculation of Guide Vane Profile for Conical Guide Apparatus[J];Large Electric Machine and Hydraulic Turbine;1990-02
8 Dai Yinsheng, Tang Jun (Dept. of Naval Architecture. DUT) Yang Mingsheng (Dept. of Applied Math. DUT);Application of B-Spline in Interpolation and Approximation of Ship-Shape Lines[J];Journal of Dalian University of Technology;1990-01
9 Zhao Xuejun;CLASS OF CUBIC PARAMETER CURVES[J];Journal of Chongqing University(Natural Science Edition);1990-05
10 Zhao Xuejun;A CLASS OF CUBIC PARAMETER CURVES OF B-SPLINE TYPE WITH ARBITRARY PARAMETER[J];Journal of Chongqing University(Natural Science Edition);1991-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 SU Ben-Yue~(1,2), SHENG Min~1 (1 Mathematics and Information Dept. of Hefei University of Technology, Hefei 230009,China; 2 Mathematics Department of Anqing Teachers College,Anqing 246011, China);C~2 Continuous C-B-spline Curves with Shape Preseving Interpolation[J];Journal of Anqing Teachers College(Natural Science Edition);2004-01
2 Song Ruixia (College of Sciences, North China Univ. of Tech., 100041, Beijing, China);A Curve Fitting Scheme Based on Kirov Theorem[J];Journal of North China University of Technology;2005-01
3 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
4 Wang Chengwei Department of Fundamental Courese, Beijing Institute of Clothing Technology, Beijing 100029;Two Classes of Bivariate Rational Interpolation Function on Rectangular Grids[J];Journal of Beijing Institute of Clothing;2001-02
5 Wang Youning Song Jiahong Su Xiaole (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);ON SMOOTH CONNECTION OF CURVES[J];Journal of Beijing Normal University(Natural Science);2001-01
6 WANG Wen tao (Department of Apllied Mathematics and Apllied Software,Central South University,Hunan Changsha 410083);Properties of Cubic Ball Curve and its Application[J];Journal of Changsha University;2001-02
7 CHEN Xiang-shun, LIU Neng-wen, TANG Long, XU Jie-wang (Zhuzhou Electric Locomotive Part Company, Zhuzhou 412001, China);Development of rearview mirror on locomotive[J];Technology For Electric Locomotives;2001-03
8 SUN Yu\|wen, WANG Xiao\|ming, LIU Jian( School of Mech. Eng., Dalian Univ. of Technol., Dalian 116024, China );Triangulation of scattered data and its application to rapid prototyping manufacturing[J];JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY;2000-01
9 XU Wenming LI Shuguang Shanghai Jiaotong University (200030);Development of Car Rearview Mirror Performance Testing System[J];Low Voltage Apparatus;2002-03
10 ZHOU Xiao\|Ping, ZHOU Rui\|Zhong (College of Civil Engineering and Architectures, Fuzhou University, Fuzhou, Fujian 350002, China);A Study of Interpolating Function Applied in Element-Free Galerkin Method[J];JOURNAL OF FUZHOU UNIVERSITY(NATURAL SCIENCES EDTION);2000-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 ZHOU Jin-ming1,ZHU Xiao-lin2(1.Appl.Math.& Phy.Dept.,Anhui University of Technology and Science,Wuhu 241000,China2.School of Science,Hefei University of Technology,Hefei 230009,China);The properties and applications of a class of curves and surfaces through the trigonometric polynomial[J];Journal of Anhui University of Technology and Science(Natural Science);2008-01
2 SHENG Min~1, SU Ben-yue~2 (1 School of Science, Hefei University of Technology, Hefei 230009,China; 2 School of Mathematics and Computing Science, Anqing Teachers College, Anqing 246011, China);Elevation Algorithm for TMB Curves Based on Generalized Inverse Matrix[J];Journal of Anqing Teachers College(Natural Science Edition);2005-03
3 TAO Yu-qin1,CHEN Su-gen2 (1.Ma'anshan Teacher's school,Ma'anshan,243000;2.Department of Mathematics,Anqing Teachers College,Anqing 246133,China);Quadratic T-B Spline Interpolation Curve Based on Adjusted Curvature[J];Journal of Anqing Teachers College(Natural Science Edition);2008-04
4 LIU Xu-min1a,2,HUANG Hou-kuan1a,XU Wei-xiang1b (1a.School of Computer and Information Technology;1b.School of Traffic and Transportation,Beijing Jiaotong University,Beijing 100044,China;2.School of Information Engineering,Capital Normal University,Beijing 100037,China);G~1 Condition for C-B Spline Curves and T-B Spline Curves[J];Journal of Beijing Jiaotong University;2007-06
5 WANG Cheng-wei (Department of Fundamental Courses of Beijing Institute of Clothing Technology, Beijing 100029, China);Trigonometric Spline Curve with Given Tangent Polygon[J];Journal of Beijing Institute of Clothing;2003-02
6 WANG Cheng-wei(Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China);Rational Spline Curve with Given Tangent Polygon[J];Journal of Beijing Institute of Clothing Technology(Natural Science Edition);2007-02
7 WANG Cheng-wei(Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China);Cubic Trigonometric Polynomial Spline Curves with Shape Parameter[J];Journal of Beijing Institute of Clothing Technology(Natural Science Edition);2008-03
8 WANG Meng CHEN Ming LIANG Chang-hong(National Key Laboratory of Antennas and Microwave Technology,Xidian Univ, Xi′an Shaanxi 710071, China);Improvement of ludwig′s algorithm and its application on NURBS-PO method[J];Chinese Journal of Radio Science;2006-06
9 WANG Cheng-wei(Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China);C~5 continuous trigonometric spline curve with given tangent polygon[J];Basic Sciences Journal of Textile Universities;2008-01
10 CHENG Gang,ZHU Chang-an,SHEN Lian-guan,ZENG Yi,CHEN Hong,ZHONG Xiao-qiang(School of Engineering Science,University of Science and Technology of China,Hefei Anhui 230027,China);A Method of Planning Bionic Over-Obstacle Walking Mode for Biped Robot Based on B-Spline Curves[J];Journal of Engineering Graphics;2006-04
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Yao Aoqiu,Zhou Rurong,Ding Qiulin(Nanjing Aeronautical Institute);COMPLEX COMBINED CURVE DESIGN AND FITTING——A B-SPLINE MULTIPLE KNOT METHOD[J];Acta Aeronautica Et Astronautica Sinica;1983-01
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