Optimal Quasi-Interpolation by Quadratic C 1-Splines on Type-2 Triangulations

  title={Optimal Quasi-Interpolation by Quadratic C 1-Splines on Type-2 Triangulations},
  author={Tatyana Sorokina and Frank Zeilfelder},
We describe a new scheme based on quadratic C-splines on type-2 triangulations approximating gridded data. The quasiinterpolating splines are directly determined by setting the BernsteinBézier coefficients of the splines to appropriate combinations of the given data values. In this way, each polynomial piece of the approximating spline is immediately available from local portions of the data, without using prescribed derivatives at any point of the domain. Since the Bernstein-Bézier… CONTINUE READING
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