Certified space curve fitting and trajectory planning for CNC machining with cubic B-splines
文献类型：期刊论文
| 作者 | Lin, Fengming1; Shen, Li-Yong1,2; Yuan, Chun-Ming1,2 ; Mi, Zhenpeng2
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| 刊名 | COMPUTER-AIDED DESIGN
 |
| 出版日期 | 2019 |
| 卷号 | 106页码:13-29 |
| 关键词 | Trajectory planning Cubic B-spline fitting Confined error Hausdorff distance Time-parameterized curve |
| ISSN号 | 0010-4485 |
| DOI | 10.1016/j.cad.2018.08.001 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000452937500002 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32002]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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