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

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. The finiteness of its harmonic series expansion advantageously distinguishes it from other known standard functions. Given its halfwidth, the de la Vallee Poussin standard orientation density function allows, for example, to tabulate the degree of series expansion into harmonics required for its exact representation.