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Conference Paper: Selecting Knots Locally for Curve Interpolation with Quadratic Precision

TitleSelecting Knots Locally for Curve Interpolation with Quadratic Precision
Authors
Issue Date2010
PublisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/
Citation
The 6th International Conference of Geometric Modeling and Processing (GMP), Castro Urdiales, Spain, 16-18 June 2010. In the Lecture Notes in Computer Science, 2010, v. 6130, p. 283-295 How to Cite?
AbstractThere are several prevailing methods for selecting knots for curve interpolation. A desirable criterion for knot selection is whether the knots can assist an interpolation scheme to achieve the reproduction of polynomial curves of certain degree if the data points to be interpolated are taken from such a curve. For example, if the data points are sampled from an underlying quadratic polynomial curve, one would wish to have the knots selected such that the resulting interpolation curve reproduces the underlying quadratic curve; and in this case the knot selection scheme is said to have quadratic precision. In this paper we propose a local method for determining knots with quadratic precision. This method improves on upon our previous method that entails the solution of a global equation to produce a knot sequence with quadratic precision. We show that this new knot selection scheme results in better interpolation error than other existing methods, including the chord-length method, the centripetal method and Foley’s method, which do not possess quadratic precision.
DescriptionLecture Notes in Computer Science vol. 6130 has title: Advances in geometric modeling and processing: 6th international conference, GMP 2010, Castro Urdiales, Spain, June 16-18, 2010: proceedings
Persistent Identifierhttp://hdl.handle.net/10722/169321
ISBN
ISSN
2005 Impact Factor: 0.402
2015 SCImago Journal Rankings: 0.252

 

DC FieldValueLanguage
dc.contributor.authorZhang, CMen_US
dc.contributor.authorWang, WPen_US
dc.contributor.authorWang, JYen_US
dc.contributor.authorLi, XMen_US
dc.date.accessioned2012-10-18T08:49:55Z-
dc.date.available2012-10-18T08:49:55Z-
dc.date.issued2010en_US
dc.identifier.citationThe 6th International Conference of Geometric Modeling and Processing (GMP), Castro Urdiales, Spain, 16-18 June 2010. In the Lecture Notes in Computer Science, 2010, v. 6130, p. 283-295en_US
dc.identifier.isbn9783642134104-
dc.identifier.issn0302-9743-
dc.identifier.urihttp://hdl.handle.net/10722/169321-
dc.descriptionLecture Notes in Computer Science vol. 6130 has title: Advances in geometric modeling and processing: 6th international conference, GMP 2010, Castro Urdiales, Spain, June 16-18, 2010: proceedings-
dc.description.abstractThere are several prevailing methods for selecting knots for curve interpolation. A desirable criterion for knot selection is whether the knots can assist an interpolation scheme to achieve the reproduction of polynomial curves of certain degree if the data points to be interpolated are taken from such a curve. For example, if the data points are sampled from an underlying quadratic polynomial curve, one would wish to have the knots selected such that the resulting interpolation curve reproduces the underlying quadratic curve; and in this case the knot selection scheme is said to have quadratic precision. In this paper we propose a local method for determining knots with quadratic precision. This method improves on upon our previous method that entails the solution of a global equation to produce a knot sequence with quadratic precision. We show that this new knot selection scheme results in better interpolation error than other existing methods, including the chord-length method, the centripetal method and Foley’s method, which do not possess quadratic precision.-
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/en_US
dc.relation.ispartofLecture Notes in Computer Scienceen_US
dc.rightsThe original publication is available at www.springerlink.com-
dc.titleSelecting Knots Locally for Curve Interpolation with Quadratic Precisionen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, WP: wenping@cs.hku.hken_US
dc.identifier.authorityWang, WP=rp00186en_US
dc.identifier.doi10.1007/978-3-642-13411-1_19-
dc.identifier.scopuseid_2-s2.0-77954629517-
dc.identifier.hkuros211577en_US
dc.identifier.volume6130-
dc.identifier.spage283en_US
dc.identifier.epage295en_US
dc.publisher.placeGermany-

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