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conference paper not in proceedings
Sparse Dictionaries for Continuous-Domain Inverse Problems
July 1, 2019
We study 1D continuous-domain inverse problems for multicomponent signals. The prior assumption on these signals is that each component is sparse in a different dictionary specified by a regularization operators. We introduce a hybrid regularization functional matched to such signals, and prove that corresponding continuous-domain inverse problems have hybrid spline solutions, i.e. they are sums of splines matched to the regularization operators. We then propose a B-spline-based exact discretization method to solve such problems algorithmically.
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Name
debarre1902.pdf
Type
publisher
Access type
openaccess
License Condition
CC BY-NC-ND
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210.91 KB
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Adobe PDF
Checksum (MD5)
7fbdd3327d4a6470d5e8174f26337017