Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines

doi:10.1016/j.cad.2018.08.001

CSpace > 系统科学研究所

	Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines
	Lin, Fengming 1; Shen, Li-Yong 1,2; Yuan, Chun-Ming1,2 ; Mi, Zhenpeng 2
	2019
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	106 页码:13-29
摘要	In CNC machining, the tool path following G01 codes generally introduces large computations and inherent discontinuities. A common way to avoid these shortcomings is fitting the G01 polyline with a parametric curve and then scheduling the feedrate along the fitted curve. However, curve fitting with confined error in three dimensional space is nontrivial since the Hausdorff distance between a space G01 segment and a rational parametric curve segment is difficult to formulate. In this paper, we derive the explicit expression for the Hausdorff distance between a line segment and a curve segment, and then propose a curve fitting algorithm for G01 polylines. Instead of the traditional two-stage model, we present a combined trajectory planning model with error constraints as well as dynamic constraints. Moreover, an effective and efficient algorithm is designed to solve this model. Experimental results are provided to illustrate and clarify our methods. (C) 2018 Elsevier Ltd. All rights reserved.
关键词	Trajectory planning Cubic B-spline fitting Confined error Hausdorff distance Time-parameterized curve
DOI	10.1016/j.cad.2018.08.001
语种	英语
资助项目	National Natural Science Foundation of China[61872332] ; National Natural Science Foundation of China[11731013] ; National Center for Mathematics and Interdisciplinary Sciences, CAS, China
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000452937500002
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32003
专题	系统科学研究所
通讯作者	Shen, Li-Yong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Fengming,Shen, Li-Yong,Yuan, Chun-Ming,et al. Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines[J]. COMPUTER-AIDED DESIGN,2019,106:13-29.
APA	Lin, Fengming,Shen, Li-Yong,Yuan, Chun-Ming,&Mi, Zhenpeng.(2019).Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines.COMPUTER-AIDED DESIGN,106,13-29.
MLA	Lin, Fengming,et al."Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines".COMPUTER-AIDED DESIGN 106(2019):13-29.