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Sampling and Reconstruction of Spherical Signals for Applications in Cosmology, Acoustics and Beyond

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Figure

Figure 1.1: Thesis Flow Chart.
Figure 2.1: The sampling schemes on the sphere, (a) Gauss-Legendre quadraturebased sampling, (b) equiangular sampling, (c) optimal dimensionality samplingscheme, (d) spherical desings and (e) extremal points, presented in Section III forthe representation of the signal band-limited at L = 10.
Figure 3.1: Numerical accuracy of the proposed s(1-SHT: the maximum error ϵmaxand the mean error ϵmean for band-limits L = (8, 16, 32, 64) and integer spin s =, 2, 4).
Figure 3.2: The geometrical properties: (a) Minimum Geodesic Distance sσ(ζ), (b)Mesh norm sλ(ζ) and (c) Mesh Ratio sΓ(ζ) for band-limits 10 ≤ L ≤ 50, integerspin s = 0 and different sampling schemes.
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