- 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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