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Interpolation by Splines on Triangulations

Oleg Davydov, Günther Nürnberger, Frank Zeilfelder

Open publisher page 7 citations

Abstract

We review recently developed methods of constructing Lagrange and Hermite interpolation sets for bivariate splines on triangulations of general type. Approximation order and numerical performance of our methods are also discussed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

About this research paper

What this paper is about

We review recently developed methods of constructing Lagrange and Hermite interpolation sets for bivariate splines on triangulations of general type. Approximation order and numerical performance of our methods are also discussed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We review recently developed methods of constructing Lagrange and Hermite interpolation sets for bivariate splines on triangulations of general type. Approximation order and numerical performance of our methods are also discussed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Interpolation (computer graphics), Birkhoff interpolation, Hermite interpolation, Applied mathematics, Cubic Hermite spline, Monotone cubic interpolation, Bicubic interpolation, Mathematics

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