Stability and Robustness of RBF Interpolation
Copyright policy )Stability and Robustness of RBF Interpolation
We consider how some methods of uniform and nonuniform interpolation by translates of radial basis functions -- specifically the so-called general multiquadrics -- perform in the presence of certain types of noise. These techniques provide some new avenues for interpolation on bounded domains that is different from the existing literature by using fast Fourier transform methods to approximate cardinal functions associated with the RBF.
20 pages, Submitted
- RWTH Aachen University Germany
- Vanderbilt University United States
- RWTH Aachen University (Medical Faculty) Germany
nonuniform sampling, Mathematics - Classical Analysis and ODEs, Paley-Wiener functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Rate of convergence, degree of approximation, radial basis functions, cardinal functions, Approximation by other special function classes, Sampling theory in information and communication theory
nonuniform sampling, Mathematics - Classical Analysis and ODEs, Paley-Wiener functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Rate of convergence, degree of approximation, radial basis functions, cardinal functions, Approximation by other special function classes, Sampling theory in information and communication theory
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