Abstract
We present an adaptive method to extract shape-preserving information from a univariate data sample. The behavior of the signal is obtained by interpolating at adaptively selected few data points by a linear combination of multiquadrics with variable scaling parameters. On the theoretical side, we give a sufficient condition for existence of the scaled multiquadric interpolant. On the practical side, we give various examples to show the applicability of the method.
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Bozzini, M., Lenarduzzi, L. & Schaback, R. Adaptive Interpolation by Scaled Multiquadrics. Advances in Computational Mathematics 16, 375–387 (2002). https://doi.org/10.1023/A:1014584220418
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DOI: https://doi.org/10.1023/A:1014584220418