A phase-sensitive approach to filtering on the sphere
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 doma...
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sg-ntu-dr.10356-997412020-05-28T07:18:30Z A phase-sensitive approach to filtering on the sphere Kakarala, Ramakrishna. Ogunbona, Philip. School of Computer Engineering DRNTU::Engineering::Computer science and engineering 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. 2013-09-19T08:03:39Z 2019-12-06T20:10:54Z 2013-09-19T08:03:39Z 2019-12-06T20:10:54Z 2012 2012 Journal Article Kakarala, R., & Ogunbona, P. (2012). A phase-sensitive approach to filtering on the sphere. IEEE transactions on signal processing, 60(12), 6330-6339. 1053-587X https://hdl.handle.net/10356/99741 http://hdl.handle.net/10220/13535 10.1109/TSP.2012.2213083 en IEEE transactions on signal processing © 2012 IEEE |
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DRNTU::Engineering::Computer science and engineering Kakarala, Ramakrishna. Ogunbona, Philip. A phase-sensitive approach to filtering on the sphere |
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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. |
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School of Computer Engineering |
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School of Computer Engineering Kakarala, Ramakrishna. Ogunbona, Philip. |
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Article |
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Kakarala, Ramakrishna. Ogunbona, Philip. |
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Kakarala, Ramakrishna. |
title |
A phase-sensitive approach to filtering on the sphere |
title_short |
A phase-sensitive approach to filtering on the sphere |
title_full |
A phase-sensitive approach to filtering on the sphere |
title_fullStr |
A phase-sensitive approach to filtering on the sphere |
title_full_unstemmed |
A phase-sensitive approach to filtering on the sphere |
title_sort |
phase-sensitive approach to filtering on the sphere |
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2013 |
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https://hdl.handle.net/10356/99741 http://hdl.handle.net/10220/13535 |
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1681057027448635392 |