Boundary-Conformed Tool Path Generation Based on Global Reparametrization

Pengcheng Hu; Lufeng Chen; Jiarui Wang; Kai Tang

doi:10.1109/CADGRAPHICS.2015.28

Boundary-Conformed Tool Path Generation Based on Global Reparametrization

Pengcheng Hu
, Lufeng Chen
, Jiarui Wang
, Kai Tang^*

^*Corresponding author for this work

Department of Mechanical and Aerospace Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

8 Citations (Scopus)

Abstract

In this paper, a boundary-conformed tool path generation method for either compound or trimmed surfaces are proposed, based on two powerful reparametrization schemes -the discretized harmonic mapping and the convex combination mapping. By globally mapping a 3D surface onto a 2D unit square and then planning an iso-parametric curve in the 2D domain, the corresponding Cutter Contact (CC) curve on the original 3D surface is easily generated which conforms with the boundary of the surface. Based on this CC curve generation strategy, a CC curve expansion algorithm for covering the entire surface is designed which takes into account the machining accuracy requirement, i.e., The specified maximum cusp height. Tool paths generated in this way for compound or trimmed surfaces are boundary-conformed, smooth, and guarantee the required machining accuracy.

Original language	English
Title of host publication	Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	165-172
Number of pages	8
ISBN (Electronic)	9781467380201
DOIs	https://doi.org/10.1109/CADGRAPHICS.2015.28
Publication status	Published - 8 Apr 2016
Event	14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015 - , China Duration: 26 Aug 2015 → 28 Aug 2015

Publication series

Name	Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015

Conference

Conference	14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015
Country/Territory	China
Period	26/08/15 → 28/08/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Boundary-conformed
Compound/trimmed surface
Reparametrization
Tool path generation

Access to Document

10.1109/CADGRAPHICS.2015.28

Cite this

Hu, P., Chen, L., Wang, J., & Tang, K. (2016). Boundary-Conformed Tool Path Generation Based on Global Reparametrization. In Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015 (pp. 165-172). Article 7450412 (Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CADGRAPHICS.2015.28

Hu, Pengcheng ; Chen, Lufeng ; Wang, Jiarui et al. / Boundary-Conformed Tool Path Generation Based on Global Reparametrization. Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 165-172 (Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015).

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title = "Boundary-Conformed Tool Path Generation Based on Global Reparametrization",

abstract = "In this paper, a boundary-conformed tool path generation method for either compound or trimmed surfaces are proposed, based on two powerful reparametrization schemes -the discretized harmonic mapping and the convex combination mapping. By globally mapping a 3D surface onto a 2D unit square and then planning an iso-parametric curve in the 2D domain, the corresponding Cutter Contact (CC) curve on the original 3D surface is easily generated which conforms with the boundary of the surface. Based on this CC curve generation strategy, a CC curve expansion algorithm for covering the entire surface is designed which takes into account the machining accuracy requirement, i.e., The specified maximum cusp height. Tool paths generated in this way for compound or trimmed surfaces are boundary-conformed, smooth, and guarantee the required machining accuracy.",

keywords = "Boundary-conformed, Compound/trimmed surface, Reparametrization, Tool path generation",

author = "Pengcheng Hu and Lufeng Chen and Jiarui Wang and Kai Tang",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015 ; Conference date: 26-08-2015 Through 28-08-2015",

year = "2016",

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day = "8",

doi = "10.1109/CADGRAPHICS.2015.28",

language = "English",

series = "Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015",

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Hu, P, Chen, L, Wang, J & Tang, K 2016, Boundary-Conformed Tool Path Generation Based on Global Reparametrization. in Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015., 7450412, Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015, Institute of Electrical and Electronics Engineers Inc., pp. 165-172, 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015, China, 26/08/15. https://doi.org/10.1109/CADGRAPHICS.2015.28

Boundary-Conformed Tool Path Generation Based on Global Reparametrization. / Hu, Pengcheng; Chen, Lufeng; Wang, Jiarui et al.
Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 165-172 7450412 (Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

TY - GEN

T1 - Boundary-Conformed Tool Path Generation Based on Global Reparametrization

AU - Hu, Pengcheng

AU - Chen, Lufeng

AU - Wang, Jiarui

AU - Tang, Kai

PY - 2016/4/8

Y1 - 2016/4/8

N2 - In this paper, a boundary-conformed tool path generation method for either compound or trimmed surfaces are proposed, based on two powerful reparametrization schemes -the discretized harmonic mapping and the convex combination mapping. By globally mapping a 3D surface onto a 2D unit square and then planning an iso-parametric curve in the 2D domain, the corresponding Cutter Contact (CC) curve on the original 3D surface is easily generated which conforms with the boundary of the surface. Based on this CC curve generation strategy, a CC curve expansion algorithm for covering the entire surface is designed which takes into account the machining accuracy requirement, i.e., The specified maximum cusp height. Tool paths generated in this way for compound or trimmed surfaces are boundary-conformed, smooth, and guarantee the required machining accuracy.

AB - In this paper, a boundary-conformed tool path generation method for either compound or trimmed surfaces are proposed, based on two powerful reparametrization schemes -the discretized harmonic mapping and the convex combination mapping. By globally mapping a 3D surface onto a 2D unit square and then planning an iso-parametric curve in the 2D domain, the corresponding Cutter Contact (CC) curve on the original 3D surface is easily generated which conforms with the boundary of the surface. Based on this CC curve generation strategy, a CC curve expansion algorithm for covering the entire surface is designed which takes into account the machining accuracy requirement, i.e., The specified maximum cusp height. Tool paths generated in this way for compound or trimmed surfaces are boundary-conformed, smooth, and guarantee the required machining accuracy.

KW - Boundary-conformed

KW - Compound/trimmed surface

KW - Reparametrization

KW - Tool path generation

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BT - Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015

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Hu P, Chen L, Wang J, Tang K. Boundary-Conformed Tool Path Generation Based on Global Reparametrization. In Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015. Institute of Electrical and Electronics Engineers Inc. 2016. p. 165-172. 7450412. (Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015). doi: 10.1109/CADGRAPHICS.2015.28

Boundary-Conformed Tool Path Generation Based on Global Reparametrization

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Keywords

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