数学与计算机科学 |
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自动满足C2连续的带参数五次Hermite插值样条 |
李军成1, 谢炜2 |
1. 湖南人文科技学院数学系, 湖南娄底 417000; 2. 桂林理工大学理学院, 广西桂林 541004 |
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The automatic C2 continuous quintic Hermite interpolating spline with parameters |
LI Juncheng1, XIE Wei2 |
1. Department of Mathematics, Hunan University of Humanities, Science and Technology, Loudi 417000, Hunan Province, China; 2. College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China |
[1] YAN Lanlan, LIANG Qiongfeng. An extension of the Bézier model[J]. Applied Mathematics and Computation,2011,218(6):2863-2879. [2] BASHIR U, ABBSA M, ALI J M. The G2 and C2 rational quadratic trigonometric Bézier curve with two shape parameters with applications[J]. Applied Mathematics and Computation,2013,219(20):10183-10197. [3] LI Juncheng. A class of cubic trigonometric Bézier curve with a shape parameter[J]. Journal of Information and Computational Science,2013,10(10):3071-3078. [4] 徐迎博,喻德生.带形状参数的二次三角Bézier曲线形状分析[J].浙江大学学报:理学版,2013,40(1):35-41. XU Yingbo, YU Desheng. Shape analysis of quadratic trigonometric polynomial Bézier curves with a shape parameter[J]. Journal of Zhejiang University:Science Edition,2013,40(1):35-41. [5] LIU Xumin, XU Weixiang, GUAN Yong, et al. Hyperbolic polynomial uniform B-spline curves and surfaces with shape parameter[J]. Graphical Models,2010,72(1):1-6. [6] CAO Juan, WANG Guozhao. Non-uniform B-spline curves with multiple shape parameters[J]. Journal of Zhejiang University:Science C,2011,12(10):800-808. [7] 左传桂,汪国昭.多形状参数的四阶均匀B样条曲线设计[J].浙江大学学报:理学版,2007,34(4):401-404. ZUO Chuangui, WANG Guozhao. Curve design of multi-parameter uniform B-spline blending function of order four[J]. Journal of Zhejiang University:Science Edition,2007,34(4):401-404. [8] 左传桂,汪国昭.具有2个独立形状参数的四阶均匀B样条[J].浙江大学学报:理学版,2007,34(6):622-627. ZUO Chuangui, WANG Guozhao. Uniform B-spline of order four with independent shape parameters[J]. Journal of Zhejiang University:Science Edition,2007,34(6):622-627. [9] 谢进,檀结庆,刘植,等.一类带参数的有理三次三角Hermite插值样条[J].计算数学,2011,33(2):125-132. XIE Jin, TAN Jieqing, LIU Zhi, et al. A class of rational cubic trigonometric Hermite interpolating splines with parameters[J]. Mathematica Numerica Sinica,2011,33(2):125-132. [10] 谢进,檀结庆,李声锋.有理三次Hermite插值样条及其逼近形状[J].工程数学学报,2011,28(3):385-392. XIE Jin, TAN Jieqing, LI Shengfeng. Rational cubic Hermite interpolating spline and its approximation properties[J]. Chinese Journal of Engineering Mathematics,2011,28(3):385-392. [11] 李军成,刘纯英,杨炼.带参数的四次Hermite插值样条[J].计算机应用,2012,32(7):1868-1870. LI Juncheng, LIU Chunying, YANG Lian. Quartic Hermite interpolating splines with parameters[J]. Journal of Computer Applications,2012,32(7):1868-1870. [12] 李军成,钟月娥,谢淳.带形状参数的三次三角Hermite插值样条曲线[J].计算机工程与应用,2014,50(17):182-185. LI Juncheng, ZHONG Yuee, XIE Chun. Cubic trigonometric Hermite interpolating splines curves with shape parameters[J]. Computer Engineering and Applications,2014,50(17):182-185. |
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