Hermite interpolation of scattered data based on the assistant surface

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An assistant surface was constructed on the base of boundary that being automatically extracted from the scattered data. The parameters of every data point corresponding to the assistant surface and their applied fields were calculated respectively. In every applied region, a surface patch was constructed by a special Hermite interpolation.The final surface can be obtained by a piecewise bicubic Hermite interpolation in the aggregate of applied regions of metrical data. This method avoids the triangulation problem.Numerical results indicate that it is efficient and accurate.
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