Multivariate polyhedral splines and spaces
Date
1986
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This 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.
Description
Bibliography: p. 111-114.
Keywords
Citation
Paolucci, 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/12973