Results 11 to 20 of about 91,388 (321)
Sultan Qaboos University Journal for Science, 2012 In a recent paper (Nasir, 2007), a set of weakly orthogonal and completely orthogonal spherical harmonics in a non-polar spherical coordinate system based on a cubed-sphere was constructed. In this work, we explore some linear relations between these two
M.A.A.M. Faham, H.M. Nasir
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Fractal Spherical Harmonics [PDF]
International Journal of Analysis, 2013 This paper tackles the construction of fractal maps on the unit sphere. The functions defined are a generalization of the classical spherical harmonics. The methodology used involves an iterated function system and a linear and bounded operator of functions on the sphere.
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Smooth approximation of data on the sphere with splines [PDF]
, 1987 A computable function, defined over the sphere, is constructed, which is of classC1 at least and which approximates a given set of data. The construction is based upon tensor product spline basisfunctions, while at the poles of the spherical system of ...
Traas, C.R.
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ISPRS International Journal of Geo-Information, 2022 The development and management of green open spaces are essential in overcoming environmental problems such as air pollution and urban warming. 3D modeling and biomass calculation are the example efforts in managing green open spaces.
Deni Suwardhi +5 more
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An alternative to Wigner d-matrices for rotating real spherical harmonics
AIP Advances, 2013 Transformation of spherical harmonics under rotation is a major problem in many areas of theoretical and applied science. While elegantly and efficiently solved for complex spherical harmonics with Wigner D- and d-matrices, extending this method to real ...
G. Aubert
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, 2013 This is Chapter 1 of the book {\it Approximation Theory and Harmonic Analysis on Spheres and Balls} by the authors. It provides a self-contained introduction to spherical harmonics. The book will be published as a title in {\it Springer Monographs in Mathematics} by Springer in 2013. The table of contents of the book is attached at the end of this file.
Dai, F., Xu, Y.
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Pilot study on the influence of spatial resolution of human voice directivity on speech perception
Acta Acustica, 2022 A perceptual threshold related to spatial resolution of the human voice directivity was determined through a listening test of similarity (MUSHRA). Directivity data of an artificial talking head measured at high spatial resolution (spherical harmonics ...
Quélennec Aurian, Luizard Paul
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New class of solutions to Laplace equation: Regularized multipoles of negative orders
Physical Review Research, 2019 We introduce a new class of solutions to the Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates.
Matt Majic, Eric C. Le Ru
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Electromagnetic Scattering by Bianisotropic Spheres
Applied Sciences, 2023 Electromagnetic fields in bulk bianisotropic media contain plane waves whose k-vectors can be found using the method of the index of refraction’s operator and belong to the Fresnel wave surfaces that fall into one of the five hyperbolic classes of the ...
Maxim Durach
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Calculating spherical harmonics without derivatives
Condensed Matter Physics, 2018 The derivation of spherical harmonics is the same in nearly every quantum mechanics textbook and classroom. It is found to be difficult to follow, hard to understand, and challenging to reproduce by most students.
M. Weitzman, J.K. Freericks
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