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Multivariate polyhedral splines and spaces

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dc.contributor.advisorBos, Len P.
dc.contributor.authorPaolucci, Michael
dc.date.accessioned2005-07-21T21:45:12Z
dc.date.available2005-07-21T21:45:12Z
dc.date.issued1986
dc.descriptionBibliography: p. 111-114.en
dc.description.abstractThis thesis presents the theory and several methods involved with multivariate polyhedral splines and spline spaces. B-splines are generalized from univariate spline theory to the multivariate setting where the definition of a polyhedral spline is introduced. Characteristics and properties of multivariate polyhedral splines are then explored via distribution theory, and the geometric interpretation (in terms of cross-sectional volumes of polyhedra) is presented. Properties of spline spaces (spaces spanned by B-splines) are examined, a subdivision algorithm is given, and finally, calculations and computer graphic displays demonstrate several of the algorithms available for surface fitting which involve multivariate polyhedral splines.
dc.format.extentix, 114 leaves : ill. ; 30 cm.en
dc.identifier.citationPaolucci, M. (1986). Multivariate polyhedral splines and spaces (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/12973en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/12973
dc.identifier.isbn0315359145en
dc.identifier.lccQA 224 P44 1987en
dc.identifier.urihttp://hdl.handle.net/1880/23813
dc.language.isoeng
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subject.lccQA 224 P44 1987en
dc.subject.lcshSplines
dc.subject.lcshSpline theory
dc.subject.lcshApproximation theory
dc.titleMultivariate polyhedral splines and spaces
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
ucalgary.thesis.notesoffsiteen
ucalgary.thesis.uarcreleaseyen

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