Abstract
The idea of the low discrepancy method (see [62], [203], [325], [403] and many others) leading to spherical “finite-cap-element sampling” is simple: Approximate the integral of a function \(F:\mathbb{S}^2 \to \mathbb{R}\) by a finite mean of functional values at prescribed points. This procedure is a reasonable approach only if the data set is somehow “equidistributed” over the sphere.
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Freeden, W., Nashed, M.Z., Schreiner, M. (2018). Non-Orthogonal Finite-Cap-Element Multiscale Sampling. In: Spherical Sampling. Geosystems Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-71458-5_15
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DOI: https://doi.org/10.1007/978-3-319-71458-5_15
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-319-71458-5
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