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Efficient Sampling on HEALPix Grid

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dc.contributor.authorAslam, Adeem
dc.contributor.authorKhalid, Zubair
dc.contributor.authorKennedy, Rodney
dc.coverage.spatialCalgary, Canada
dc.date.accessioned2024-02-16T03:13:49Z
dc.date.createdApril 15-20 2018
dc.date.issued2018
dc.date.updated2022-10-02T07:20:03Z
dc.description.abstractWe propose an iso-latitude sampling scheme for the representation of band-limited signals on the sphere. The proposed scheme is designed as a variant of the widely used Hierarchical Equal Area iso-Latitude Pixelization (HEALPix) scheme on the sphere. We use HEALPix grid of resolution N side to represent a signal of bandlimit (spherical harmonic degree) L. To reduce the number of samples, the proposed algorithm takes only L iso-latitude rings out of 4N side -1 rings of the HEALPix. This selection is carried out by ensuring that the spherical harmonic transform (SHT) of the signal is computed accurately from the samples. The number of samples required by the proposed sampling scheme is smaller than that required by HEALPix by at least a factor of 3/2. For the proposed sampling scheme, we also formulate the spherical harmonic transform and conduct numerical experiments to evaluate the number of samples required by the proposed sampling scheme and the accuracy of the associated SHT.en_AU
dc.description.sponsorshipRodney A. Kennedy is supported by the Australian Research Council’s Discovery Projects funding scheme (Project no. DP170101897)en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn9781538646588en_AU
dc.identifier.urihttp://hdl.handle.net/1885/313655
dc.language.isoen_AUen_AU
dc.publisherIEEEen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP170101897en_AU
dc.relation.ispartofseriesIEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2018en_AU
dc.rights© 2018 IEEEen_AU
dc.source2018 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedingsen_AU
dc.subjectSamplingen_AU
dc.subjectHEALPixen_AU
dc.subjectunit 2-sphereen_AU
dc.subjectspherical harmonic transformen_AU
dc.subjectband-limited signalsen_AU
dc.titleEfficient Sampling on HEALPix Griden_AU
dc.typeConference paperen_AU
local.bibliographicCitation.lastpage4593en_AU
local.bibliographicCitation.startpage4589en_AU
local.contributor.affiliationAslam, Adeem, Lahore University of Management Sciencesen_AU
local.contributor.affiliationKhalid, Zubair, Lahore University of Management Sciencesen_AU
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANUen_AU
local.contributor.authoruidKennedy, Rodney, u8607590en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.description.refereedYes
local.identifier.absfor400700 - Control engineering, mechatronics and roboticsen_AU
local.identifier.ariespublicationu4485658xPUB1304en_AU
local.identifier.doi10.1109/ICASSP.2018.8461294en_AU
local.identifier.scopusID2-s2.0-85054211961
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusPublished Versionen_AU

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