@inproceedings{60ac87fd54854b2991fbebaa43b3f74f,
title = "Spatio-spectral formulation and design of spatially-varying filters for signal estimation on the 2-sphere",
abstract = "In this paper, we present an optimal filter for the enhancement or estimation of signals on the 2-sphere corrupted by noise, when both the signal and noise are realizations of anisotropic processes on the 2-sphere. The estimation of such a signal in the spatial or spectral domain separately can be shown to be inadequate. Therefore, we develop an optimal filter in the joint spatio-spectral domain by using a framework recently presented in the literature - the spatially localized spherical harmonic transform - enabling such processing. Filtering of a signal in the spatio-spectral domain facilitates taking into account anisotropic properties of both the signal and noise processes. The proposed spatio-spectral filtering is optimal under the mean-square error criterion. The capability of the proposed filtering framework is demonstrated with by an example to estimate a signal corrupted by an anisotropic noise process.",
keywords = "2-sphere, Anisotropic process, Mean square error, Spatially localized spherical harmonic transform, Spatio-spectral filtering",
author = "Zubair Khalid and Kennedy, {Rodney A.} and Parastoo Sadeghi and Salman Durrani",
year = "2013",
doi = "10.1117/12.2023932",
language = "English",
isbn = "9780819497086",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Wavelets and Sparsity XV",
note = "Wavelets and Sparsity XV ; Conference date: 26-08-2013 Through 29-08-2013",
}