Local Lagrange interpolation by bivariate C1 cubic splines

Authors:
Günther Nürnberger;Larry L. Schumaker;Frank Zeilfelder
Affiliations:
Univ. Mannheim, Mannheim, Germany;Vanderbilt Univ., Nashville, TN;Univ. Mannheim, Mannheim, Germany
Venue:
Mathematical Methods for Curves and Surfaces
Year:
2001

Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials

Computer Aided Geometric Design
Interpolation by spline spaces on classes of triangulations

Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Developments in bivariate spline interpolation

Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Interpolation by C1 splines of degree q≥4 on triangulations

Journal of Computational and Applied Mathematics
Local Lagrange interpolation by bivariate C1 cubic splines

Mathematical Methods for Curves and Surfaces
Macro-elements and stable local bases for splines on Powell-Sabin triangulations

Mathematics of Computation

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Lagragne interpolation schemes are constructed based on C1 cubic splines on certain triangulations obtained from checkerboard quadrangulations.