A phase-sensitive approach to filtering on the sphere

Authors

Ramakrishna Kakarala, Nanyang Technological University, Singapore
Philip O. Ogunbona, University of WollongongFollow

RIS ID

73424

Publication Details

Kakarala, R. & Ogunbona, P. O. (2012). A phase-sensitive approach to filtering on the sphere. IEEE Transactions on Signal Processing, 60 (12), 6330-6339.

Abstract

This paper examines filtering on a sphere, by first examining the roles of spherical harmonic magnitude and phase.We show that phase is more important than magnitude in determining the structure of a spherical function.We examine the properties of linear phase shifts in the spherical harmonic domain, which suggest a mechanism for constructing finite-impulse-response (FIR) filters. We show that those filters have desirable properties, such as being associative, mapping spherical functions to spherical functions, allowing directional filtering, and being defined by relatively simple equations.We provide examples of the filters for both spherical and manifold data.