Approximation of planar offset curves with globally bounded error for B-spline NC tool paths.
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| Title: | Approximation of planar offset curves with globally bounded error for B-spline NC tool paths. |
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| Authors: | Khan, MaqsoodA.1 (AUTHOR) maqsoodahmed@neduet.edu.pk, Chen, Z.C.1 (AUTHOR) |
| Source: | International Journal of Production Research. Dec2012, Vol. 50 Issue 23, p6811-6825. 15p. 1 Diagram, 3 Charts, 9 Graphs. |
| Subjects: | Splines, Programming of numerically controlled machine tools, Curves, Computer-aided design, Mechanical engineering, Industrial engineering research |
| Abstract: | The topic of representing the offset of a 2D B-spline curve in the same form has been a topic of research for a long time, and it has many industrial applications, especially in NC tool path generation for pocketing. For B-spline tool paths, it is often required that the tool paths have fewer control points, lower base function degree, and the approximation error is guaranteed within a given tolerance over the entire curve. However, the existing methods utilising global error control approximate the offsets of 2D free-form curves with high function degree and many control points. Although these offsets are useful in computer-aided design, they are inappropriate for the use of CNC machining. To address the problems in order to generate high quality B-spline tool paths, this original work formulates an error function of the offset approximation and then constructs a NURBS curve to globally bound the errors. By checking the maximum coefficient of the bounding curve, the upper bound of all the approximated offset errors is found and the errors can be reduced by segmenting the curve at appropriate knot values. The proposed new approach is more efficient, and the resulting offset approximations are more accurate, with fewer control points and lower function degree. It is useful to generate B-spline tool paths for CNC pocketing, which have the potential for other applications in industry. [ABSTRACT FROM PUBLISHER] |
| Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 82935615 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Approximation of planar offset curves with globally bounded error for B-spline NC tool paths. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Khan%2C+MaqsoodA%2E%22">Khan, MaqsoodA.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> maqsoodahmed@neduet.edu.pk</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Z%2EC%2E%22">Chen, Z.C.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. Dec2012, Vol. 50 Issue 23, p6811-6825. 15p. 1 Diagram, 3 Charts, 9 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Splines%22">Splines</searchLink><br /><searchLink fieldCode="DE" term="%22Programming+of+numerically+controlled+machine+tools%22">Programming of numerically controlled machine tools</searchLink><br /><searchLink fieldCode="DE" term="%22Curves%22">Curves</searchLink><br /><searchLink fieldCode="DE" term="%22Computer-aided+design%22">Computer-aided design</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+engineering%22">Mechanical engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+engineering+research%22">Industrial engineering research</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The topic of representing the offset of a 2D B-spline curve in the same form has been a topic of research for a long time, and it has many industrial applications, especially in NC tool path generation for pocketing. For B-spline tool paths, it is often required that the tool paths have fewer control points, lower base function degree, and the approximation error is guaranteed within a given tolerance over the entire curve. However, the existing methods utilising global error control approximate the offsets of 2D free-form curves with high function degree and many control points. Although these offsets are useful in computer-aided design, they are inappropriate for the use of CNC machining. To address the problems in order to generate high quality B-spline tool paths, this original work formulates an error function of the offset approximation and then constructs a NURBS curve to globally bound the errors. By checking the maximum coefficient of the bounding curve, the upper bound of all the approximated offset errors is found and the errors can be reduced by segmenting the curve at appropriate knot values. The proposed new approach is more efficient, and the resulting offset approximations are more accurate, with fewer control points and lower function degree. It is useful to generate B-spline tool paths for CNC pocketing, which have the potential for other applications in industry. [ABSTRACT FROM PUBLISHER] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00207543.2011.626804 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 6811 Subjects: – SubjectFull: Splines Type: general – SubjectFull: Programming of numerically controlled machine tools Type: general – SubjectFull: Curves Type: general – SubjectFull: Computer-aided design Type: general – SubjectFull: Mechanical engineering Type: general – SubjectFull: Industrial engineering research Type: general Titles: – TitleFull: Approximation of planar offset curves with globally bounded error for B-spline NC tool paths. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Khan, MaqsoodA. – PersonEntity: Name: NameFull: Chen, Z.C. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 00207543 Numbering: – Type: volume Value: 50 – Type: issue Value: 23 Titles: – TitleFull: International Journal of Production Research Type: main |
| ResultId | 1 |
