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We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

We propose Ray-ONet to reconstruct detailed 3D models from monocular images efficiently. By predicting a series of occupancy probabilities along a ray that is back-projected from a pixel in the camera coordinate, our method Ray-ONet…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Wenjing Bian , Zirui Wang , Kejie Li , Victor Adrian Prisacariu

Trajectory optimization using a learned model of the environment is one of the core elements of model-based reinforcement learning. This procedure often suffers from exploiting inaccuracies of the learned model. We propose to regularize…

Machine Learning · Computer Science 2019-12-30 Rinu Boney , Norman Di Palo , Mathias Berglund , Alexander Ilin , Juho Kannala , Antti Rasmus , Harri Valpola

Motion artifacts are a pervasive problem in MRI, leading to misdiagnosis or mischaracterization in population-level imaging studies. Current retrospective rigid intra-slice motion correction techniques jointly optimize estimates of the…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Nalini M. Singh , Neel Dey , Malte Hoffmann , Bruce Fischl , Elfar Adalsteinsson , Robert Frost , Adrian V. Dalca , Polina Golland

Fast data acquisition in Magnetic Resonance Imaging (MRI) is vastly in demand and scan time directly depends on the number of acquired k-space samples. Recently, the deep learning-based MRI reconstruction techniques were suggested to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Ali Pour Yazdanpanah , Onur Afacan , Simon K. Warfield

Motion represents one of the major challenges in magnetic resonance imaging (MRI). Since the MR signal is acquired in frequency space, any motion of the imaged object leads to complex artefacts in the reconstructed image in addition to…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Veronika Spieker , Hannah Eichhorn , Kerstin Hammernik , Daniel Rueckert , Christine Preibisch , Dimitrios C. Karampinos , Julia A. Schnabel

This chapter provides an overview of deep learning techniques for improving the spatial resolution of MRI, ranging from convolutional neural networks, generative adversarial networks, to more advanced models including transformers,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Ziyu Li , Zihan Li , Haoxiang Li , Qiuyun Fan , Karla L. Miller , Wenchuan Wu , Akshay S. Chaudhari , Qiyuan Tian

Poverty is a complex dynamic challenge that cannot be adequately captured using predefined differential equations. Nowadays, artificial machine learning (ML) methods have demonstrated significant potential in modelling real-world dynamical…

Dynamical Systems · Mathematics 2026-04-02 Sandeep Kumar Samota , Snehashish Chakraverty , Narayan Sethi

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulates numerical methods as a minimization of discrete residuals…

Numerical Analysis · Mathematics 2024-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

Recent works have demonstrated that deep learning (DL) based compressed sensing (CS) implementation can accelerate Magnetic Resonance (MR) Imaging by reconstructing MR images from sub-sampled k-space data. However, network architectures…

Image and Video Processing · Electrical Eng. & Systems 2023-11-03 Jiangpeng Yan , Shuo Chen , Yongbing Zhang , Xiu Li

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

Machine Learning · Computer Science 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

Magnetic resonance imaging (MRI) provides high spatial resolution and excellent soft-tissue contrast without using harmful ionising radiation. Dynamic MRI is an essential tool for interventions to visualise movements or changes of the…

Medical Physics · Physics 2022-02-14 Soumick Chatterjee , Chompunuch Sarasaen , Georg Rose , Andreas Nürnberger , Oliver Speck

In parallel magnetic resonance imaging (pMRI) reconstruction without using estimation of coil sensitivity functions, one group of algorithms reconstruct sensitivity encoded images of the coils first followed by the magnitude only image…

Medical Physics · Physics 2013-11-12 Cishen Zhang , Ifat Al Baqee

Deformable image registration (DIR), aiming to find spatial correspondence between images, is one of the most critical problems in the domain of medical image analysis. In this paper, we present a novel, generic, and accurate diffeomorphic…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Yifan Wu , Tom Z. Jiahao , Jiancong Wang , Paul A. Yushkevich , M. Ani Hsieh , James C. Gee

Multidimensional imaging, capturing image data in more than two dimensions, has been an emerging field with diverse applications. Due to the limitation of two-dimensional detectors in obtaining the high-dimensional image data, computational…

Image and Video Processing · Electrical Eng. & Systems 2020-06-16 Didem Dogan , Figen S. Oktem

This work explores the effectiveness of masked image modelling for learning representations of retinal OCT images. To this end, we leverage Masked Autoencoders (MAE), a simple and scalable method for self-supervised learning, to obtain a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Theodoros Pissas , Pablo Márquez-Neila , Sebastian Wolf , Martin Zinkernagel , Raphael Sznitman

State of the art methods in astronomical image reconstruction rely on the resolution of a regularized or constrained optimization problem. Solving this problem can be computationally intensive and usually leads to a quadratic or at least…

Computer Vision and Pattern Recognition · Computer Science 2017-06-08 Rémi Flamary

Many computer vision and image processing problems can be posed as solving partial differential equations (PDEs). However, designing PDE system usually requires high mathematical skills and good insight into the problems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 Risheng Liu , Zhouchen Lin , Wei Zhang , Kewei Tang , Zhixun Su

Biophysical model fitting plays a key role in obtaining quantitative parameters from physiological signals and images. However, the model complexity for molecular magnetic resonance imaging (MRI) often translates into excessive computation…

Medical Physics · Physics 2025-04-18 Alex Finkelstein , Nikita Vladimirov , Moritz Zaiss , Or Perlman

Recent efforts on solving inverse problems in imaging via deep neural networks use architectures inspired by a fixed number of iterations of an optimization method. The number of iterations is typically quite small due to difficulties in…

Image and Video Processing · Electrical Eng. & Systems 2021-06-04 Davis Gilton , Gregory Ongie , Rebecca Willett