Search Results for author: Martin Zach

Found 5 papers, 1 papers with code

Joint Non-Linear MRI Inversion with Diffusion Priors

no code implementations23 Oct 2023 Moritz Erlacher, Martin Zach

Data-driven reconstruction approaches, in particular diffusion models, recently achieved remarkable success in reconstructing these data, but typically rely on estimating the coil sensitivities in an off-line step.

Product of Gaussian Mixture Diffusion Models

1 code implementation19 Oct 2023 Martin Zach, Erich Kobler, Antonin Chambolle, Thomas Pock

In this work we tackle the problem of estimating the density $ f_X $ of a random variable $ X $ by successive smoothing, such that the smoothed random variable $ Y $ fulfills the diffusion partial differential equation $ (\partial_t - \Delta_1)f_Y(\,\cdot\,, t) = 0 $ with initial condition $ f_Y(\,\cdot\,, 0) = f_X $.

Image Denoising Noise Estimation

Explicit Diffusion of Gaussian Mixture Model Based Image Priors

no code implementations16 Feb 2023 Martin Zach, Thomas Pock, Erich Kobler, Antonin Chambolle

In this work we tackle the problem of estimating the density $f_X$ of a random variable $X$ by successive smoothing, such that the smoothed random variable $Y$ fulfills $(\partial_t - \Delta_1)f_Y(\,\cdot\,, t) = 0$, $f_Y(\,\cdot\,, 0) = f_X$.

Image Denoising Noise Estimation

Stable Deep MRI Reconstruction using Generative Priors

no code implementations25 Oct 2022 Martin Zach, Florian Knoll, Thomas Pock

We propose a novel deep neural network based regularizer which is trained in a generative setting on reference magnitude images only.

Decision Making MRI Reconstruction +1

Computed Tomography Reconstruction using Generative Energy-Based Priors

no code implementations23 Mar 2022 Martin Zach, Erich Kobler, Thomas Pock

We apply the regularizer to limited-angle and few-view CT reconstruction problems, where it outperforms traditional reconstruction algorithms by a large margin.

Computed Tomography (CT)

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