Fast spherical harmonic transforms

Author: cnlg

August undefined, 2024

WebDec 1, 2003 · The discrete spherical Fourier transform (DSFT) plays an essential role in many applications. In particular, there is a growing need for the fast summation of spherical harmonic expansions (see [6], [26], [21], [32], [14]). Unfortunately, working with spherical harmonics is computationally complex in many respects [5]. WebApr 24, 2024 · Mathematica's implementation of the Fast Fourier Transform is, naturally, much faster than computing the discrete transform yourself using Sum. The analog of the Fourier transform of a function f …

Implementation details SHTOOLS - Spherical …

WebWe develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at using only … WebJul 1, 2010 · We demonstrate a fast spin-s spherical harmonic transform algorithm, which is flexible and exact for band-limited functions. In contrast to previous work, where spin … port 9 ano

An Optimal-Dimensionality Sampling Scheme on the Sphere with …

WebThe spherical harmonic (SH) expansion technique maps a variable on a spherical surface to its representation in the SH function space in terms of SH expansion coefficients. This technique, also known as the spectral transform method, has been employed in global atmospheric modeling efforts (Williamson, 2007 ), including numerical weather ... WebOct 1, 2013 · This article describes the implementation of a practical fast spherical harmonics transform into the Integrated Forecast System (IFS) at ECMWF. Details of … irish kevins bar key west

Utilizing GPU Parallelism to Improve Fast Spherical …

WAVEMOTH–FAST SPHERICAL HARMONIC TRANSFORMS BY …

Weba spherical harmonic transform (forward or backward), the choice of discretization goes a long way. By choosing points on the sphere surface such that they form horizontal rings, … WebMar 1, 2005 · The fast spherical harmonic transform algorithm proposed by Suda and Takami is evaluated in the solutions of the shallow water equation test set defined by … port 8999 was already in usehttp://www.jasonmcewen.org/papers/fsht.pdf irish kevins johnson city ny

"WebNov 1, 1999 · 1 Introduction. Many geophysical problems involve spherical geometry. Some can be described as data processing while others involve the solution of partial differential equations in spherical coordinates; in both cases it is useful to transform between a spatial representation and a set of spherical harmonic coefficients. " - Fast spherical harmonic transforms

Fast spherical harmonic transforms

An Optimal-Dimensionality Sampling Scheme on the Sphere With Fast …

WebAug 1, 2009 · NFFT 3 is a software library that implements the nonequispaced fast Fourier transform (NFFT) and a number of related algorithms, for example, ... Fast algorithms for spherical harmonic Expansions. SIAM J. Sci. Comput. 27, 1903--1928. Google Scholar Digital Library; Sorensen, T. S., Schaeffter, T., No, K. O., and Hansen, M. S. 2008. … WebJul 8, 2014 · An Optimal-Dimensionality Sampling Scheme on the Sphere With Fast Spherical Harmonic Transforms. Abstract: We develop a sampling scheme on the …

Did you know?

WebWe develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at using only samples. We obtain the optimal number of samples… WebSep 17, 2011 · A new gravimetric geoid model, USGG2009 (see Abbreviations), has been developed for the United States and its territories including the Conterminous US …

WebMar 19, 2014 · Nevertheless, we achieve high accuracy even for very large band-limits. For our optimal-dimensionality sampling scheme, we develop a fast and accurate algorithm to compute the spherical harmonic transform (and inverse), with computational complexity comparable with existing schemes in practice. WebOct 18, 2024 · This method can be used to reconstruct band limited spherical harmonic or Wigner D-function series (spherical harmonic series are a special case) with sparse …

WebSpherical Harmonic Transform Library A collection of MATLAB routines for the Spherical Harmonic Transform and related manipulations in the spherical harmonic spectrum. Archontis Politis, 2015 Department of Signal Processing and Acoustics, Aalto University, Finland [email protected] WebJan 21, 2013 · The fast Fourier transform (FFT) should be used for this part, as it improves accuracy and speed. SHTns uses the FFTW library [ Frigo & Johnson, 2005 ], a portable, …

Weboped asymptotically optimal spherical harmonic transforms with O(n2 logn) run times. The pre-computation was also asymptotically optimal, though this is anticipated only for absurdly high degrees. More recently, Slevinsky proposed two new fast spherical harmonic transforms, ﬁrst with backward stability, O(n2 log2 n) run-time and O(n3 logn) pre-

WebAbout this Title. Jens Gerlach Christensen, Colgate University, Hamilton, NY, Susanna Dann, Vienna University of Technology, Wien, Austria and Matthew Dawson, CIMAT, … port 9001 is already in useWebSpherical harmonic series have many of the same wonderful properties as Fourier series, but have lacked one important thing: a numerically stable fast transform analogous to … irish kevin\\u0027s key westWebM.P. Mohlenkamp, A fast transform for spherical harmonics, J. Fourier Anal. Appl. 5 (2/3) (1999) 159–184. Google Scholar S. Moore, Efficient stabilization methods for fast polynomial transforms, Ph.D. thesis, Department of Mathematics and Computer Science, Dartmouth College (1994). port 9043 used forWebDec 31, 2024 · Vector spherical harmonics on the unit sphere of ℝ ³ have broad applications in geophysics, quantum mechanics, and astrophysics. In the representation of a tangent vector field, one needs to ... irish kevins binghamtonWebfast to compute, can be completely characterized theoretically, and empirically has superior angular resolution to the FRT, though also ... was modeled using a spherical harmonic representation, where the spherical harmonic coefficients were obtained using a regularized ... transforms in the new family of transforms introduced in (Haldar, 2012 ... port 902 used forWebThe spectral synthesis and analysis algorithms using fast Fourier transforms and Legendre transforms with the associated Legendre functions are presented in detail. A set of methods associated with a spectral_field class provides spectral approximation to the differential operators ∇ ⋯, ∇ ×, ∇, and ∇ 2 in spherical geometry. irish kevin camWebJun 3, 2016 · SHTns is a high performance library for Spherical Harmonic Transform written in C, aimed at numerical simulation (fluid flows, mhd, ...) in spherical geometries. … irish kevins binghamton ny