Efficient Sampling on HEALPix Grid
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Aslam, Adeem; Khalid, Zubair; Kennedy, Rodney
Description
We 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...[Show more]
dc.contributor.author | Aslam, Adeem | |
---|---|---|
dc.contributor.author | Khalid, Zubair | |
dc.contributor.author | Kennedy, Rodney | |
dc.coverage.spatial | Calgary, Canada | |
dc.date.accessioned | 2024-02-16T03:13:49Z | |
dc.date.created | April 15-20 2018 | |
dc.identifier.isbn | 9781538646588 | |
dc.identifier.uri | http://hdl.handle.net/1885/313655 | |
dc.description.abstract | We 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. | |
dc.description.sponsorship | Rodney A. Kennedy is supported by the Australian Research Council’s Discovery Projects funding scheme (Project no. DP170101897) | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_AU | |
dc.publisher | IEEE | |
dc.relation.ispartofseries | IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2018 | |
dc.rights | © 2018 IEEE | |
dc.source | 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings | |
dc.subject | Sampling | |
dc.subject | HEALPix | |
dc.subject | unit 2-sphere | |
dc.subject | spherical harmonic transform | |
dc.subject | band-limited signals | |
dc.title | Efficient Sampling on HEALPix Grid | |
dc.type | Conference paper | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
dc.date.issued | 2018 | |
local.identifier.absfor | 400700 - Control engineering, mechatronics and robotics | |
local.identifier.ariespublication | u4485658xPUB1304 | |
local.publisher.url | https://www.ieee.org/ | |
local.type.status | Published Version | |
local.contributor.affiliation | Aslam, Adeem, Lahore University of Management Sciences | |
local.contributor.affiliation | Khalid, Zubair, Lahore University of Management Sciences | |
local.contributor.affiliation | Kennedy, Rodney, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2099-12-31 | |
dc.relation | http://purl.org/au-research/grants/arc/DP170101897 | |
local.bibliographicCitation.startpage | 4589 | |
local.bibliographicCitation.lastpage | 4593 | |
local.identifier.doi | 10.1109/ICASSP.2018.8461294 | |
dc.date.updated | 2022-10-02T07:20:03Z | |
local.identifier.scopusID | 2-s2.0-85054211961 | |
Collections | ANU Research Publications |
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