Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines

doi:10.1007/s11432-011-4237-4

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	Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines
	Zhang Mei 1; Yan Wei 2; Yuan ChunMing1 ; Wang DingKang1 ; Gao XiaoShan1
	2011-07-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	54 期号:7 页码:1407-1418
摘要	In this paper, curve fitting of 3-D points generated by G01 codes and interpolation based on quadratic B-splines are studied. Feature points of G01 codes are selected using an adaptive method. Next, quadratic B-splines are obtained as the fitting curve by interpolating these feature points. Computations required in implementing the velocity planning algorithm mentioned by Timer et al. are very complicated because of the appearance of high-order curves. An improved time-optimal method for the quadratic B-spline curves is presented to circumvent this issue. The algorithms are verified with simulations as well as on real CNC machines.
关键词	quadratic B-spline G01 codes feature point velocity planning interpolation
DOI	10.1007/s11432-011-4237-4
语种	英语
资助项目	Chinese Academy of Sciences[KGCX2-YW-119-1] ; National Natural Science Foundation of China[608210021/F02]
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000292269700008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12565
专题	系统科学研究所
通讯作者	Yuan ChunMing
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Res Inst Petr Explorat & Dev, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Zhang Mei,Yan Wei,Yuan ChunMing,et al. Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines[J]. SCIENCE CHINA-INFORMATION SCIENCES,2011,54(7):1407-1418.
APA	Zhang Mei,Yan Wei,Yuan ChunMing,Wang DingKang,&Gao XiaoShan.(2011).Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines.SCIENCE CHINA-INFORMATION SCIENCES,54(7),1407-1418.
MLA	Zhang Mei,et al."Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines".SCIENCE CHINA-INFORMATION SCIENCES 54.7(2011):1407-1418.