Energy minimization method for scattered data Hermite interpolation
نویسندگان
چکیده
Given a set of scattered data with derivatives values, we use a minimal energy method to find Hermite interpolation based on bivariate spline spaces over a triangulation of the scattered data locations. We show that the minimal energy method produces a unique Hermite spline interpolation of the given scattered data with derivative values. Also we show that the Hermite spline interpolation converges to a given sufficiently smooth function f if the data values are obtained from this f . That is, the surface of the Hermite spline interpolation resembles the given set of derivative values. Some numerical examples are presented to demonstrate our method. © 2007 Published by Elsevier B.V. on behalf of IMACS. MSC: 41A15; 65M60; 65N30
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