Bicubic spline interpolation in rectangular polygons

Author:

Carlson R.E,Hall C.A

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference10 articles.

1. The Theory of Splines and Their Applications;Ahlberg,1967

2. Extremal, orthogonality and convergence properties of multi-dimensional splines;Ahlberg;J. Math. Anal. Appl.,1965

3. Piecewise polynomial interpolation and approximation;Birkhoff,1965

4. Smooth surface interpolation;Birkhoff;J. Math. Phys.,1960

5. Piecewise bicubic interpolation and approximation in polygons;Birkhoff,1969

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1. A Surface Modeling Method by Using $$C^2$$ C 2 Piecewise Rational Spline Interpolation;Journal of Mathematical Imaging and Vision;2014-11-04

2. Degree of simultaneous approximation by Birkhoff splines;Journal of Numerical Analysis and Approximation Theory;2001-08-01

3. References;Handbook of Splines;1999

4. References;Computational Geometry;1989

5. Convergence of $O(h^4 )$ Cubic Spline Collocation Methods for Elliptic Partial Differential Equations;SIAM Journal on Numerical Analysis;1988-02

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