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Article: A new bivariate rational interpolation based on function values

TitleA new bivariate rational interpolation based on function values
Authors
KeywordsBivariate interpolation
Bivariate rational spline
Computer aided geometric design
Issue Date2004
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins
Citation
Information Sciences, 2004, v. 166 n. 1-4, p. 181-191 How to Cite?
AbstractIn this paper a new method is developed to create a space surface interpolation using only values of the function being interpolated. This method has some characteristics comparing with the present interpolation method. First, the interpolation function has a simple and explicit mathematical representation, which is convenient both in practical application and in theoretical study. Secondly, the interpolating surfaces are C1 in the interpolating region under the condition that the interpolation is only based on the function values. Third, the interpolation surfaces could be varied as the parameters vary, thus, the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed, and more important theoretically is that the uniqueness of the interpolating function for the given data would be replaced by the uniqueness of the interpolation for the given data and the parameters. © 2003 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75828
ISSN
2015 Impact Factor: 3.364
2015 SCImago Journal Rankings: 2.513
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorDuan, Qen_HK
dc.contributor.authorWang, Len_HK
dc.contributor.authorTwizell, EHen_HK
dc.date.accessioned2010-09-06T07:14:57Z-
dc.date.available2010-09-06T07:14:57Z-
dc.date.issued2004en_HK
dc.identifier.citationInformation Sciences, 2004, v. 166 n. 1-4, p. 181-191en_HK
dc.identifier.issn0020-0255en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75828-
dc.description.abstractIn this paper a new method is developed to create a space surface interpolation using only values of the function being interpolated. This method has some characteristics comparing with the present interpolation method. First, the interpolation function has a simple and explicit mathematical representation, which is convenient both in practical application and in theoretical study. Secondly, the interpolating surfaces are C1 in the interpolating region under the condition that the interpolation is only based on the function values. Third, the interpolation surfaces could be varied as the parameters vary, thus, the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed, and more important theoretically is that the uniqueness of the interpolating function for the given data would be replaced by the uniqueness of the interpolation for the given data and the parameters. © 2003 Elsevier Inc. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/insen_HK
dc.relation.ispartofInformation Sciencesen_HK
dc.rightsInformation Sciences. Copyright © Elsevier Inc.en_HK
dc.subjectBivariate interpolationen_HK
dc.subjectBivariate rational splineen_HK
dc.subjectComputer aided geometric designen_HK
dc.titleA new bivariate rational interpolation based on function valuesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-0255&volume=166&spage=181&epage=191&date=2004&atitle=A+new+bivariate+rational+interpolation+based+on+function+valuesen_HK
dc.identifier.emailWang, L:lqwang@hkucc.hku.hken_HK
dc.identifier.authorityWang, L=rp00184en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.ins.2003.12.001en_HK
dc.identifier.scopuseid_2-s2.0-4944264661en_HK
dc.identifier.hkuros102096en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4944264661&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume166en_HK
dc.identifier.issue1-4en_HK
dc.identifier.spage181en_HK
dc.identifier.epage191en_HK
dc.identifier.isiWOS:000224998200011-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridDuan, Q=7005185761en_HK
dc.identifier.scopusauthoridWang, L=35235288500en_HK
dc.identifier.scopusauthoridTwizell, EH=7006036382en_HK

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