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math.NA2024
Applications of multiscale hierarchical decomposition to blind deconvolution
Tobias Wolf, Stefan Kindermann, Elena Resmerita +1
The blind image deconvolution is a challenging, highly ill-posed nonlinear inverse problem. We introduce a Multiscale Hierarchical Decomposition Method (MHDM) that is iteratively s…
math.NA2024
Nested Bregman Iterations for Decomposition Problems
Tobias Wolf, Derek Driggs, Kostas Papafitsoros +2
We consider the task of image reconstruction while simultaneously decomposing the reconstructed image into components with different features. A commonly used tool for this is a va…
math.NA2023
Multiscale hierarchical decomposition methods for ill-posed problems
Stefan Kindermann, Elena Resmerita, Tobias Wolf
The Multiscale Hierarchical Decomposition Method (MHDM) was introduced as an iterative method for total variation regularization, with the aim of recovering details at various scal…