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
Bozzini, M., Lenarduzzi, L., Schaback, R. (2002). Adaptive interpolation by scaled multiquadrics. ADVANCES IN COMPUTATIONAL MATHEMATICS, 16(4), 375-387 [10.1023/A:1014584220418].
Adaptive interpolation by scaled multiquadrics
BOZZINI, MARIA TUGOMIRA;
2002
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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