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[ascl:1710.007] FLAG: Exact Fourier-Laguerre transform on the ball

FLAG is a fast implementation of the Fourier-Laguerre Transform, a novel 3D transform exploiting an exact quadrature rule of the ball to construct an exact harmonic transform in 3D spherical coordinates. The angular part of the Fourier-Laguerre transform uses the MW sampling theorem and the exact spherical harmonic transform implemented in the SSHT code (ascl:2207.034). The radial sampling scheme arises from an exact quadrature of the radial half-line using damped Laguerre polynomials. The radial transform can in fact be used to compute the spherical Bessel transform exactly, and the Fourier-Laguerre transform is thus closely related to the Fourier-Bessel transform.

Code site:
https://github.com/astro-informatics/flag-archive
Described in:
https://ui.adsabs.harvard.edu/abs/2012ITSP...60.6257L https://ui.adsabs.harvard.edu/abs/2011ITSP...59.5876M
Bibcode:
2017ascl.soft10007L

Views: 3387

ascl:1710.007
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