This volume consists of 24 edited papers on various topics in multivariate approximation. The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design.

This volume consists of 24 edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy. The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.

Bases with convexity-preserving properties, J.M. Carnicer et al
stability and inter-dependence of matrix subdivision schemes, A. Cohen et al
numerical curves and their applications to algebraic curves, H. Gevorgian et al
sectional-curvature-preserving skinning surfaces with a 3D spine curve, A.I. Ginnis et al
pairs of refinable bivariate splines, T.N.T. Goodman
the subdivision and transition operators associated with a refinement equation, R.Q. Jia
introducing dilation and translation for incomplete sigma-Pi neural networks of Hopfield-type, B. Lenze
designing rational surfaces with rational offsets, M. Peternell and H. Pottmann
kernal of spherical harmonics and spherical frames, D. Potts et al
a review of algorithms for thin plate spline interpolation in two dimensions, M.J.D. Powell
B-splines on uniform meshes of the plane, P. Sablonniere
and other papers. (Part contents).