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Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines
Zhang Mei1; Yan Wei2; Yuan ChunMing1; Wang DingKang1; Gao XiaoShan1
2011-07-01
Source PublicationSCIENCE CHINA-INFORMATION SCIENCES
ISSN1674-733X
Volume54Issue:7Pages:1407-1418
AbstractIn 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.
Keywordquadratic B-spline G01 codes feature point velocity planning interpolation
DOI10.1007/s11432-011-4237-4
Language英语
Funding ProjectChinese Academy of Sciences[KGCX2-YW-119-1] ; National Natural Science Foundation of China[608210021/F02]
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000292269700008
PublisherSCIENCE PRESS
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12565
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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