Multivariate polyhedral splines and spaces
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.
Bibliography: p. 111-114.
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