Peter Alfeld
Department of Mathematics
College of Science
University of Utah
The Bernstein Bézier Form
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Spline Spaces and Minimal Determining Sets
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Bibliography
Papers using the MDS code.
This page has links to postscript files and other supporting materials for papers that made significant use of the MDS software described here.
Macro-elements and stable local bases for splines on Clough-Tocher triangulations
by Ming-Jun Lai and Larry L.~Schumaker, , Numer. Math. 88 (2001), 105--119.
Macro-elements and stable local bases for splines on Powell-Sabin triangulations
, by Ming-Jun Lai and Larry L. Schumaker, Math Comp, to appear.
Quadrilateral Macro-Elements
, by Ming-Jun Lai and Larry L. Schumaker, SIAM J. Math. Anal. 33 (2002), 1107--1116.
Non-existence of Star-supported Spline Bases,
by Peter Alfeld and Larry L. Schumaker, SIAM J. Math. Anal. 31 (2000), 1482--1501.
Bivariate Splines and Minimal Determining Sets
, by Peter Alfeld, Journal of Computational and Applied Mathematics 119 (2000), 13-27.
Smooth Macro-Elements Based on Clough-Tocher Triangle Splits
, by Peter Alfeld and Larry L. Schumaker, Numer. Math. 90 (2002), 597--616.
Smooth Macro-Elements Based on Powell Sabin Triangle Splits
, by Peter Alfeld and Larry L. Schumaker, Advances in Comp. Math. 16 (2002), 29--46.
Upper and Lower Bounds on the Dimension of Superspline Spaces
, by Peter Alfeld and Larry L. Schumaker, Constructive Approximation 19 (2003), 145--161
[07-May-2001]