@inproceedings{f0a5222d5d98406286b283373555e7da,
title = "Efficient kernel-based formulations of spatio-spectral and related transformations on the 2-sphere",
abstract = "In this paper we show that the spatially localized spherical harmonic transform (SLSHT), which represents a signal on the 2-sphere in the spatio-spectral domain, can be efficiently computed using new kernel-based formulations. In addition to the standard spatio-spectral domain, we show there are three other related transforms that provide alternative representations in the spatio-spatial, spectro-spatial and spectro-spectral domains. We provide inversion results that extend available results for the SLSHT. We show that for signals on the 2-sphere band-limited to degree L, the computational complexity using our class of kernel-based SLSHT transforms is O(L4) and outperforms the previous best known fast methods, which have complexity O(L5).",
keywords = "2-sphere, fast transforms, spatially localized spherical harmonic transform, spatio-spectral domain, spherical harmonic transform, unit sphere",
author = "Kennedy, {Rodney A.} and Zubair Khalid and Parastoo Sadeghi",
year = "2014",
doi = "10.1109/ICASSP.2014.6853608",
language = "English",
isbn = "9781479928927",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "310--314",
booktitle = "2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014",
address = "United States",
note = "2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 ; Conference date: 04-05-2014 Through 09-05-2014",
}