Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal-Dimensionality Sampling on the Sphere: Improvements and
  Variations   For the accurate representation and reconstruction of band-limited signals on
the sphere, an optimal-dimensionality sampling scheme has been recently
proposed which requires the optimal number of samples equal to the number of
degrees of freedom of the signal in the spectral (harmonic) domain. The
computation of the spherical harmonic transform (SHT) associated with the
optimal-dimensionality sampling requires the inversion of a series of linear
systems in an iterative manner. The stability of the inversion depends on the
placement of iso-latitude rings of samples along co-latitude. In this work, we
have developed a method to place these iso-latitude rings of samples with the
objective of improving the well-conditioning of the linear systems involved in
the computation of the SHT. We also propose a multi-pass SHT algorithm to
iteratively improve the accuracy of the SHT of band-limited signals.
Furthermore, we review the changes in the computational complexity and
improvement in accuracy of the SHT with the embedding of the proposed methods.
Through numerical experiments, we illustrate that the proposed variations and
improvements in the SHT algorithm corresponding to the optimal-dimensionality
sampling scheme significantly enhance the accuracy of the SHT.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin