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Iterative Extrapolation Algorithm for Data Reconstruction over Sphere

Zhang, Wen; Kennedy, Rodney; Abhayapala, Thushara

Description

Given limited or incomplete measurement data on a sphere, a new iterative algorithm is proposed on how to extrapolate signal over the whole sphere. The algorithm is based on a priori assumption that the Fourier decomposition of the signal on the sphere has finite degree of spherical harmonic coefficients, that is, the signal is modelimited. The algorithm is a simple iteration involving only the spherical harmonic decomposition. It is proven that the algorithm converges to the original signal...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Conference paper
URI: http://hdl.handle.net/1885/19371
Source: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2008)
DOI: 10.1109/ICASSP.2008.4518464

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