Fast spherical harmonic transforms
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 … WebAug 13, 2014 · High resolution transformations between regular geophysical data and harmonic model coefficients can be most efficiently computed by Fast Fourier Transform (FFT). However, a prerequisite is that the data grids are given in …
Fast spherical harmonic transforms
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WebFeb 15, 2012 · The spherical harmonic transform (SHT) is the spherical analog of the Fourier transform and is an essential tool for data analysis and simulation on the … WebOct 1, 2008 · A collection of MATLAB classes for computing spherical harmonic transforms are presented and used to solve simple partial differential equations on the sphere. The spectral synthesis and analysis using fast Fourier transforms and Legendre transforms with the associated Legendre functions are presented in depth.
Webwith horizontal wavelength R⊙/ℓ of the observations, where ℓ is degree of spherical harmonic Yℓm(θ,φ). When applied to solar power spectra at frequencies below acous-tic … WebAbout this Title. Jens Gerlach Christensen, Colgate University, Hamilton, NY, Susanna Dann, Vienna University of Technology, Wien, Austria and Matthew Dawson, CIMAT, …
WebAug 6, 2011 · For the inverse, the computation of respective Fourier coefficients from a given spherical harmonic model is performed as an inverse Fast Fourier Transform into globally distributed data points. The two-step formulation turns out to be stable even for very high resolutions as well as efficient when using state-of-the-art shared memory/multi ... WebSpherical harmonic expansions are a well-understood and widely used tool of applied math- ematics; they are encountered, inter alia, in weather and climate modeling, in …
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WebFeb 15, 2012 · The spherical harmonic transform (SHT) is the spherical analog of the Fourier transform and is an essential tool for data analysis and simulation on the sphere. ... The discovery of fast Fourier transforms (FFTs) has been all important for signal analysis over the past half century, and there is no lack of high-quality commercial and open ... mitsubishi uk air conditioning unitsWebDec 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]. inglis place salonhttp://www.jasonmcewen.org/papers/fsht.pdf mitsubishi uk customer serviceWebA Family of Fast Spherical Registration Algorithms for Cortical Shapes mitsubishi uk official siteWebThe 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 ... inglis polbethWebAug 1, 2024 · Fast, nonuniform spherical harmonic transforms Any square integrable function distributed on the sphere can be decomposed into an infinite sum of Laplace spherical harmonic functions, , such that View Expanded where θ is latitude, ϕ is longitude, and l and m are the indices of the spectral coefficient matrix . mitsubishi uk used car searchWebIn physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency.The term Fourier transform refers to both this complex-valued function and the mathematical … mitsubishi ultra short throw projector