数学与计算机科学 |
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三次DP曲线定义区间的扩展及其形状优化 |
张迪, 查东东, 刘华勇 |
安徽建筑大学 数理学院,安徽 合肥 230601 |
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Interval extension of the cubic DP curve and its shape optimization. |
ZHANG Di, ZHA Dongdong, LIU Huayong |
School of Sciences and Physics, Anhui Jianzhu University, Hefei 230601,China |
1 施法中. 计算机辅助几何设计与非均匀有理B样条[M]. 北京:高等教育出版社, 2001: 306-454. SHIF Z. Computer Aided Geometric Design and Non-uniform Rational B-spline[M]. Beijing:Higher Education Press, 2001: 306 -454. 2 PIEGLL, TILLERM. The NURBS Book[M]. 2nd ed. Berlin: Springer, 1997: 289-311.DOI:10.1007/978-3-642-97385-7 3 韩旭里,刘圣军. 三次均匀B样条曲线的扩展[J]. 计算机辅助设计与图形学学报, 2003, 15(5): 576-578.DOI:10.1081/CEH-200044273 HANX L, LIUS J. An extension of the cubic uniform B-spline curve[J]. Journal of Computer-Aided Design & Computer Graphics, 2003, 15(5): 576-578. DOI:10.1081/CEH-200044273 4 吴晓勤.带形状参数的Bézier曲线[J]. 中国图像图形学报, 2006, 11(2): 269-274. WUX Q. Bézier curve with shape parameter[J]. Journal of Image and Graphics, 2006, 11(2): 269-274. 5 吴晓勤,韩旭里,罗善明. 四次Bézier曲线的2种不同扩展[J]. 工程图学学报, 2006, 27(5): 59-64.DOI:10.3969/j.issn.1003-0158.2006.05.011 WUX Q, HANX L, LUOS M. Two different extensions of quartic Bézier curve[J]. Journal of Engineering Graphics, 2006, 27(5): 59-64.DOI:10.3969/j.issn.1003-0158.2006.05.011 6 徐岗,汪国昭. 带局部形状参数的三次均匀B样条曲线的扩展[J]. 计算机研究与发展, 2007, 44(6): 1032-1037. DOI:10.1360/crad20070616 XUG, WANGG Z. Extensions of uniform cubic B-spline curve with local shape parameters[J]. Journal of Computer Research and Development, 2007, 44(6): 1032-1037. DOI:10.1360/crad20070616 7 刘华勇,李璐,张大明. 带形状参数的四次Ball曲线[J]. 山东大学学报(工学版), 2011, 41(2): 23-28. LIUH Y, LIL, ZHANGD M. Quadratic Ball curve with multiple shape parameters[J]. Journal of Shandong University (Engineering Science), 2011, 41(2): 23-28. 8 DELGADOJ, PEÑAJ M. A shape preserving representation with an evaluation algorithm of liner complexity[J]. Computer Aided Geometric Design, 2003, 20(1): 1-10.DOI:10.1016/S0167-8396(02)00190-5 9 DELGADOJ, PEÑAJ M. On efficient algorithms for polynomial evaluation in CAGD[J]. Monografías del Semintario Matemático García de Galdeano, 2004, 31(2): 111-120. 10 陈 杰,王国瑾. 一类带形状参数的 DP-NTP 曲线及 其应用[J]. 计算机辅助设计与图形学学报, 2011, 23(6): 1055-1060.DOI:10.1016/j.cageo.2010.07.006 CHENJ, WANGG J. A new type of DP-NTP curve with shape parameters and its application[J]. Journal of Computer-Aided Design & Computer Graphics, 2011, 23(6): 1055-1060.DOI:10.1016/j.cageo.2010.07.006 11 陈福来,吴晓勤,朱秀云. 广义三次DP曲线[J]. 计算机科学, 2012, 39(12): 264-267. CHENF L, WUX Q, ZHUX Y. Generalized cubic DP curve[J]. Computer Science, 2012, 39(12): 264-267. 12 陈福来,吴晓勤,朱秀云. 广义三次 DP 曲线的形状分析[J]. 电子设计工程, 2012, 20(12): 5-8. CHENF L, WUX Q, ZHUX Y. Shape analysis of generalized cubic DP curve[J]. Electronic Design Engineering, 2012, 20(12): 5-8. 13 彭兴璇,蒋新昕,谢宇迪. 一类带形状参数的三次DP 曲线[J]. 计算机辅助设计与图形学学报, 2018, 30(9): 1712-1718. DOI:10.3724/SP.J.1089.2018.16913 PENGX X, JIANGX X, XIEY D. A type of cubic DP curve with shape parameters[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(9): 1712-1718.DOI:10.3724/sp.j.1089.2018.16913 14 李军成,李兵,易叶青. 带参数的同次Ball曲线[J]. 中国图象图形学报, 2018, 23(6): 896-905. LIJ C, LIB, YIY Q. Ball curve of the same degree with a parameter[J]. Journal of Image and Graphics, 2018, 23(6): 896-905. 15 XUG,WANGG Z,CHENW Y. Geometric construction of energy-minimizing Bézier curves[J]. SCIENCE CHINA Information Sciences, 2011, 54(7): 1395-1406. DOI:10.1007/s11432-011-4294-8 |
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