Fourier extension and sampling on the sphere


We present different sampling methods for the approximation of functions on the sphere. In this note we focus on Fourier methods on the sphere based on spherical harmonics and on the double Fourier sphere method. Further longitude-latitude transformation is combined with Fourier extension to allow the use of bi-periodic Fourier series on the sphere. Fourier… (More)


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@article{Potts2017FourierEA, title={Fourier extension and sampling on the sphere}, author={Daniel Potts and Niel Van Buggenhout}, journal={2017 International Conference on Sampling Theory and Applications (SampTA)}, year={2017}, pages={82-86} }