9 citations · 12 across the 2 of their papers we have counts for
3 papers
Stability estimates for the regularized inversion of the truncated Hilbert transform
Rima Alaifari, Michel Defrise, Alexander Katsevich
In limited data computerized tomography, the 2D or 3D problem can be reduced to a family of 1D problems using the differentiated backprojection (DBP) method. Each 1D problem consis…
Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap
Reema Al-Aifari, Michel Defrise, Alexander Katsevich
The truncated Hilbert transform with overlap is an operator that arises in tomographic reconstruction from limited data, more precisely in the method of Differentiated Back-P…
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
Ingrid Daubechies, Michel Defrise, Christine De Mol
We consider linear inverse problems where the solution is assumed to have a sparse expansion on an arbitrary pre-assigned orthonormal basis. We prove that replacing the usual quadr…