Abstract
This paper is concerned with data interpolation subject to a strip condition on the first order derivative. Using spline functions on refined grids we can offer computational methods which are always successful in constructing interpolants of the desired type. Especially, the placement of the additional knots in refining the grids is of importance.
Zusammenfassung
In dieser Arbeit wird die Interpolation von Daten betrachtet, wobei als Nebenbedingung die Forderung gestellt wird, daß die ersten Ableitungen der Interpolierenden in einem vorgegebenen Streifen zu liegen haben. Unter Verwendung von Splines auf verfeinerten Gittern können Algorithmen angeboten werden, welche unter natürlichen Voraussetzungen stets die Konstruktion von Interpolierenden mit der gewünschten Eigenschaft erlauben. Von besonderer Bedeutung ist dabei, an welchen Stellen die Zusatzknoten einzufügen sind.
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Schmidt, J.W. Interpolation in a derivative strip. Computing 58, 377–389 (1997). https://doi.org/10.1007/BF02684349
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DOI: https://doi.org/10.1007/BF02684349