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A phase-sensitive approach to filtering on the sphere

Journal Article


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. © 1991-2012 IEEE.

Publication Date


  • 2012

Citation


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

Scopus Eid


  • 2-s2.0-84870509883

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/166

Number Of Pages


  • 9

Start Page


  • 6330

End Page


  • 6339

Volume


  • 60

Issue


  • 12

Place Of Publication


  • United States

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. © 1991-2012 IEEE.

Publication Date


  • 2012

Citation


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

Scopus Eid


  • 2-s2.0-84870509883

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/166

Number Of Pages


  • 9

Start Page


  • 6330

End Page


  • 6339

Volume


  • 60

Issue


  • 12

Place Of Publication


  • United States