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The deduction of coefficient matrix for cubic non-uniform B-Spline curves

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dc.contributor.authorYang, H.
dc.contributor.authorHe, Y.
dc.contributor.authorHuang, H.
dc.contributor.authorYue, W.L.
dc.contributor.authorXia, H.
dc.contributor.conferenceFirst International Workshop on Education Technology and Computer Science (ETCS 2009) (7 Mar 2009 - 8 Mar 2009 : Wuhan, Hubei, China)
dc.contributor.editorHu, H.
dc.contributor.editorZhengbing, Z.
dc.date.issued2009
dc.description.abstractThe cubic B-Spline curves have many engineering applications, such as graphic matching, materials cutting and layout arrangement. The existing mathematical representations, usually defined as polynomial function, its coefficient matrix of non-uniform B-Spline curves are complicated, difficult to understand, and require sophisticated algorithm in programming implementation. This paper aims at presenting a procedure based on the de Boor-Cox recursion formula, the coefficient matrixes of non-uniform B-Spline curves could be deducted. The application of this approach has been successfully used in shoe manufacturing process for material cutting control system. applications, such as graphic matching, materials cutting and layout arrangement. The existing mathematical representations, usually defined as polynomial function, its coefficient matrix of non-uniform B-Spline curves are complicated, difficult to understand, and require sophisticated algorithm in programming implementation. This paper aims at presenting a procedure based on the de Boor-Cox recursion formula, the coefficient matrixes of non-uniform B-Spline curves could be deducted. The application of this approach has been successfully used in shoe manufacturing process for material cutting control system.
dc.identifier.citationProceedings of the first international workshop on education technology and computer science, 2009 / Hu, H., Zhengbing, Z. (ed./s), vol.2, pp.607-609
dc.identifier.doi10.1109/ETCS.2009.396
dc.identifier.isbn9780769535579
dc.identifier.urihttps://hdl.handle.net/1959.8/115344
dc.language.isoen
dc.publisherIEEE
dc.publisher.placeLos Alamitos, California
dc.rightsCopyright 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
dc.source.urihttps://doi.org/10.1109/ETCS.2009.396
dc.subjectB-Spline
dc.subjectcoefficient matrix
dc.subjectdeduction
dc.titleThe deduction of coefficient matrix for cubic non-uniform B-Spline curves
dc.typeConference paper
pubs.publication-statusPublished
ror.fileinfo12143281340001831 13143308650001831 9915910975601831_53108987790001831.pdf
ror.mmsid9915910975601831

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