Higher-dimensional wavelets and the Douglas-Rachford algorithm

Title: Higher-dimensional wavelets and the Douglas-Rachford algorithm
Creator: Franklin, David; Hogan, Jeffrey A.; Tam, Matthew
Relation: 13th International Conference on Sampling Theory and Applications, SampTA 2019. Proceedings of 13th International Conference on Sampling Theory and Applications, SampTA 2019 (Bordeaux, France 08-12 July, 2019)
Relation: ARC.DP160101537 http://purl.org/au-research/grants/arc/DP160101537
Publisher Link: http://dx.doi.org/10.1109/SampTA45681.2019.9030823
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2019
Description: We recast the problem of multiresolution-based wavelet construction in one and higher dimensions as a feasibility problem with constraints which enforce desirable properties such as compact support, smoothness and orthogonality of integer shifts. By employing the Douglas-Rachford algorithm to solve this feasibility problem, we generate one-dimensional and non-separable two-dimensional multiresolution scaling functions and wavelets.
Subject: higher dimensions; wavelet construction; algorithms; wavelet
Identifier: http://hdl.handle.net/1959.13/1452386
Identifier: uon:44427
Identifier: ISBN:9781728137414
Language: eng
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