Approximation of vectors fields by thin plate splines with tension

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Approximation of vectors fields by thin plate splines with tension

We study a vectorial approximation problem based on thin plate splines with tension involving two positive parameters: one for the control of the oscillations and the other for the control of the divergence and rotational components of the field. The existence and uniqueness of the solution are proved and the solution is explicitly given. As special cases, we study the limit problems as the par...

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Approximation of Vector Fields by Thin Plate Splines with Tension

We study a vectorial approximation problem based on thin plate spline with tension involving two positive parameters one for a control of the oscillations and the other one allows a control on the divergence and rotational components of the field. The existence and uniqueness of the solution is proved and the solution is explicitly given. We study the limit problems and the convergence problem ...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2005

ISSN: 0021-9045

DOI: 10.1016/j.jat.2005.07.005