Special Issue: Multivariate Splines

Issue Editor: Klaus Hollig

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97

Klaus Hollig
Preface

99

A. J. Worsey and G. Farin
A n-Dimensional Clough-Tocher Interpolant

111

C. K. Chui and M. J. Lai
A Multivariate Analog of Marsden's Identity and a Quasi-Interpolation Scheme

123

T. N. T. Goodman
Some Properties of Bivariate Bernstein-Schoenberg Operators

131

Elaine Cohen, T. Lyche, and R. F. Riesenfeld
Cones and Recurrence Relations for Simplex Splines

143

Klaus Hollig and Charles A. Micchelli
Divided Differences, Hyperbolic Equations, and Lifting Distributions

157

Wolfgang Boehm, Hartmut Prautzsch, and Paul Arner
On Triangular Splines

169

Kurt Jetter and Sherman Reimenschneider
Cardinal Interpolation, Submodules and the 4-Direction Mesh

189

Peter Alfeld and L. L. Schumaker
The Dimension of Bivariate Spline Spaces of Smoothness r for Degree d >= 4r+1

199

Carl de Boor
The Polynomials in the Linear Span of Integer Translates of a Compactly Supported Function

209

Wolfgang Dahmen and Charles A. Micchelli
Algebraic Properties of Discrete Box Splines

223

Sherman Riemenschneider and Karl Scherer
Cardinal Hermite Interpolation with Box Splines

239

Ronald A. DeVore and Vasil A. Popov
Free Multivariate Splines