A Simple Standard Orientation Density Function: The Hyperspherical de la Vallée Poussin Kernel

作者: H. Schaeben

DOI: 10.1002/1521-3951(199704)200:2<367::AID-PSSB367>3.0.CO;2-I

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摘要: The hyperspherical de la Vallee Poussin kernel v k (ω) = C(k) cos 2k (ω/2) is introduced as a simple standard orientation density function for texture modeling. finiteness of its harmonic series expansion advantageously distinguishes it from other known functions. Given halfwidth, the allows, example, to tabulate degree into harmonics required exact representation.

参考文章(4)
Geoffrey S. Watson, Statistics on Spheres ,(1983)
P. E. Jupp, N. I. Fisher, T. Lewis, B. J. J. Embleton, Statistical Analysis of Spherical Data. Biometrics. ,vol. 44, pp. 592- ,(1988) , 10.2307/2531880
K. V. Mardia, Statistics of Directional Data ,(1972)