Results 251 to 260 of about 22,150,955 (299)
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Geomagnetic spherical harmonic analysis
pure and applied geophysics, 1969An attempt is made to determine the optimum representation of the geomagnetic field in terms of spherical harmonics with regard to the number of parameters required for an adequate accuracy of fit, and considering the effect of allowing for the oblateness of the earth.
S. R. C. Malin, Susan B. Pocock
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Spherical harmonic analysis of the electroencephalogram
Sixth Multidimensional Signal Processing Workshop, 2003Summary form only given. The theoretical and practical problems of performing spherical harmonic analysis (SHA) on the electroencephalogram (EEG) have been investigated. One problem considered is related to sampling theory, that is, determining the effect of sample positions and detecting the presence of spatial aliasing.
G.R. Shaw, Z.J. Koles
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Parallel computation for spherical harmonic synthesis and analysis
Computers & Geosciences, 2007The objectives of this research were to develop computational techniques for parallel computers capable of performing computations of spherical harmonic analysis and synthesis for ultra-high degree and order. The FFT method was used as a basis for the numerical scheme.
Huadong Xiao, Yang Lu
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Spherical harmonics in texture analysis
Tectonophysics, 2003Abstract The objective of this contribution is to emphasize the fundamental role of spherical harmonics in constructive approximation on the sphere in general and in texture analysis in particular. The specific purpose is to present some methods of texture analysis and pole-to-orientation probability density inversion in a unifying approach, i.e.
Helmut Schaeben +1 more
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Spherical harmonic analysis of a novel Halbach array PM spherical motor
2007 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2007A design concept of a Halbach array permanent magnet (PM) spherical motor is proposed in this paper. Based on spherical harmonic functions, the three dimensional (3-D) magnetic fields produced by ball-shaped Halbach array rotor and parallel-magnetization rotor are analyzed.
Hongfeng Li, Changliang Xia, Tingna Shi
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Spherical cap harmonic analysis
Journal of Geophysical Research: Solid Earth, 1985The solution of Laplace's equation, in spherical coordinates, is developed for the boundary value problem appropriate to fitting the geomagnetic field over a spherical cap. The solution involves associated Legendre functions of integral order but nonintegral degree.
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Modelling and Analysis of Vertebra Deformations with Spherical Harmonics
2002In this paper we present an elaborate and precise geometrical model of the spine structure based on spherical harmonics. We first describe the application of spherical harmonics to the modelling of the vertebra surface, then we study the behaviour of the model under particular deformations.
Lefaix, Gildas +3 more
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A spherical harmonic analysis of the Earth's topography
Journal of Geophysical Research, 1973In 1964–1965 estimates were made of the percentage of land, average land elevation, and average ocean depth in each 1° × 1° square and of percentages of lake and ice and average lake depth and ice thickness in each 5° × 5° square. These estimates were made visually, and the following maps were used:
Georges Balmino +2 more
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Spherical harmonic analysis on hemisphere
Solar Physics, 1992The spherical harmonic analysis on hemisphere is reexamined to apply in helioseismology. New methods of mode identification are proposed to analyze the line-of-sight component which is expressed in terms of six spherical harmonics.
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On the aliasing problem in the spherical harmonic analysis
Journal of Geodesy, 1990To apply the least squares method for the interpolation of harmonic functions is a common practice in Geodesy. Since the method of least squares can be applied only to overdetermined problem, the interpolation problem which is always under-determined, is often reduced to an overdetermined form by truncating a series of spherical harmonics.
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