Search Results for author: Simon Arridge

Found 24 papers, 6 papers with code

Plug-and-Play Half-Quadratic Splitting for Ptychography

no code implementations3 Dec 2024 Alexander Denker, Johannes Hertrich, Zeljko Kereta, Silvia Cipiccia, Ecem Erin, Simon Arridge

Ptychography is a coherent diffraction imaging method that uses phase retrieval techniques to reconstruct complex-valued images.

Image Reconstruction Retrieval

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks

no code implementations2 Jul 2024 Simone Appella, Simon Arridge, Chris Budd, Teo Deveney, Lisa Maria Kreusser

More precisely, we combine the training of the ReLU NN with an equidistribution based loss to find the breakpoints of the ReLU functions, combined with preconditioning the ReLU NN approximation (to take an FKS form) to find the scalings of the ReLU functions, leads to a well-conditioned and reliable method of finding an accurate ReLU NN approximation to a target function.

Learning Governing Equations of Unobserved States in Dynamical Systems

no code implementations29 Apr 2024 Gevik Grigorian, Sandip V. George, Simon Arridge

In this work, we employ a hybrid neural ODE structure, where the system equations are governed by a combination of a neural network and domain-specific knowledge, together with symbolic regression (SR), to learn governing equations of partially-observed dynamical systems.

Symbolic Regression

Inverse Problems with Learned Forward Operators

no code implementations21 Nov 2023 Simon Arridge, Andreas Hauptmann, Yury Korolev

The first one is completely agnostic to the forward operator and learns its restriction to the subspace spanned by the training data.

Score-Based Generative Models for PET Image Reconstruction

1 code implementation27 Aug 2023 Imraj RD Singh, Alexander Denker, Riccardo Barbano, Željko Kereta, Bangti Jin, Kris Thielemans, Peter Maass, Simon Arridge

Score-based generative models have demonstrated highly promising results for medical image reconstruction tasks in magnetic resonance imaging or computed tomography.

Image Reconstruction

A Learned Born Series for Highly-Scattering Media

1 code implementation9 Dec 2022 Antonio Stanziola, Simon Arridge, Ben T. Cox, Bradley E. Treeby

A new method for solving the wave equation is presented, called the learned Born series (LBS), which is derived from a convergent Born Series but its components are found through training.

Unsupervised denoising for sparse multi-spectral computed tomography

no code implementations2 Nov 2022 Satu I. Inkinen, Mikael A. K. Brix, Miika T. Nieminen, Simon Arridge, Andreas Hauptmann

However, these issues are especially exacerbated when sparse imaging scenarios are encountered due to a significant reduction in photon counts.}

Computed Tomography (CT) CT Reconstruction +1

FReSCO: Flow Reconstruction and Segmentation for low latency Cardiac Output monitoring using deep artifact suppression and segmentation

no code implementations25 Mar 2022 Olivier Jaubert, Javier Montalt-Tordera, James Brown, Daniel Knight, Simon Arridge, Jennifer Steeden, Vivek Muthurangu

Conclusion: FReSCO was successfully demonstrated for real-time monitoring of CO during exercise and could provide a convenient tool for assessment of the hemodynamic response to a range of stressors.

Segmentation

Quantifying Sources of Uncertainty in Deep Learning-Based Image Reconstruction

no code implementations17 Nov 2020 Riccardo Barbano, Željko Kereta, Chen Zhang, Andreas Hauptmann, Simon Arridge, Bangti Jin

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the reconstruction.

Deep Learning Image Reconstruction

Quantifying Model Uncertainty in Inverse Problems via Bayesian Deep Gradient Descent

no code implementations20 Jul 2020 Riccardo Barbano, Chen Zhang, Simon Arridge, Bangti Jin

Recent advances in reconstruction methods for inverse problems leverage powerful data-driven models, e. g., deep neural networks.

On Learned Operator Correction in Inverse Problems

1 code implementation14 May 2020 Sebastian Lunz, Andreas Hauptmann, Tanja Tarvainen, Carola-Bibiane Schönlieb, Simon Arridge

We discuss the possibility to learn a data-driven explicit model correction for inverse problems and whether such a model correction can be used within a variational framework to obtain regularised reconstructions.

Rapid Whole-Heart CMR with Single Volume Super-resolution

no code implementations22 Dec 2019 Jennifer A. Steeden, Michael Quail, Alexander Gotschy, Andreas Hauptmann, Simon Arridge, Rodney Jones, Vivek Muthurangu

Conclusion: This paper demonstrates the potential of using a residual U-Net for super-resolution reconstruction of rapidly acquired low-resolution whole heart bSSFP data within a clinical setting.

Anatomy Super-Resolution

Multi-Scale Learned Iterative Reconstruction

1 code implementation1 Aug 2019 Andreas Hauptmann, Jonas Adler, Simon Arridge, Ozan Öktem

Applicability of these methods to large scale inverse problems is however limited by the available memory for training and extensive training times, the latter due to computationally expensive forward models.

Computed Tomography (CT)

Networks for Nonlinear Diffusion Problems in Imaging

no code implementations29 Nov 2018 Simon Arridge, Andreas Hauptmann

By design, we obtain a nonlinear network architecture that is well suited for diffusion related problems in imaging.

Approximate k-space models and Deep Learning for fast photoacoustic reconstruction

no code implementations9 Jul 2018 Andreas Hauptmann, Ben Cox, Felix Lucka, Nam Huynh, Marta Betcke, Paul Beard, Simon Arridge

We present a framework for accelerated iterative reconstructions using a fast and approximate forward model that is based on k-space methods for photoacoustic tomography.

Deep Learning

Variational Gaussian Approximation for Poisson Data

no code implementations18 Sep 2017 Simon Arridge, Kazufumi Ito, Bangti Jin, Chen Zhang

In this work, we analyze a variational Gaussian approximation to the posterior distribution arising from the Poisson model with a Gaussian prior.

Model based learning for accelerated, limited-view 3D photoacoustic tomography

no code implementations31 Aug 2017 Andreas Hauptmann, Felix Lucka, Marta Betcke, Nam Huynh, Jonas Adler, Ben Cox, Paul Beard, Sebastien Ourselin, Simon Arridge

Recent advances in deep learning for tomographic reconstructions have shown great potential to create accurate and high quality images with a considerable speed-up.

Tomographic Reconstructions

Fast Estimation of Haemoglobin Concentration in Tissue Via Wavelet Decomposition

no code implementations22 Jun 2017 Geoffrey Jones, Neil T. Clancy, Xiaofei Du, Maria Robu, Simon Arridge, Daniel S. Elson, Danail Stoyanov

Tissue oxygenation and perfusion can be an indicator for organ viability during minimally invasive surgery, for example allowing real-time assessment of tissue perfusion and oxygen saturation.

Deep De-Aliasing for Fast Compressive Sensing MRI

no code implementations19 May 2017 Simiao Yu, Hao Dong, Guang Yang, Greg Slabaugh, Pier Luigi Dragotti, Xujiong Ye, Fangde Liu, Simon Arridge, Jennifer Keegan, David Firmin, Yike Guo

Fast Magnetic Resonance Imaging (MRI) is highly in demand for many clinical applications in order to reduce the scanning cost and improve the patient experience.

Compressive Sensing De-aliasing +1

Inference of Haemoglobin Concentration From Stereo RGB

no code implementations11 Jul 2016 Geoffrey Jones, Neil T. Clancy, Yusuf Helo, Simon Arridge, Daniel S. Elson, Danail Stoyanov

We demonstrate by using the co-registered stereo image data from two cameras it is possible to get robust SO2 estimation as well.

Computational Efficiency

Cannot find the paper you are looking for? You can Submit a new open access paper.