A Simple Standard Orientation Density Function: The Hyperspherical de la Vallée Poussin Kernel
Abstract
The hyperspherical de la Vallée Poussin kernel k () = C(k) cos2k (/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 Vallée Poussin standard orientation density function allows, for example, to tabulate the degree of series expansion into harmonics required for its exact representation.
- Publication:
-
Physica Status Solidi B Basic Research
- Pub Date:
- April 1997
- DOI:
- 10.1002/1521-3951(199704)200:2<367::AID-PSSB367>3.0.CO;2-I
- Bibcode:
- 1997PSSBR.200..367S