Image reconstruction by regularized nonlinear inversion—joint estimation of coil sensitivities and image content

M Uecker, T Hohage, KT Block… - Magnetic Resonance in …, 2008 - Wiley Online Library
… This work introduces a new reconstruction method for autocalibrated parallel imaging
which is based on regularized nonlinear inversion. The approach allows for a simultaneous …

Image reconstruction in optical tomography

SR Arridge, M Schweiger - Philosophical Transactions of …, 1997 - royalsocietypublishing.org
… In §2 we review some general approaches to inverse problems to set the context for optical
tomography, defining both the terms for ard problem and in erse problem, and we review …

Regularized image reconstruction using SVD and a neural network method for matrix inversion

RJ Steriti, MA Fiddy - IEEE Transactions on Signal Processing, 1993 - ieeexplore.ieee.org
… of matrix inversion when used in an image reconstruction … ; this is compared with the inverse
obtained using singular value … network provides a more useful and robust matrix inverse. …

Deep magnetic resonance image reconstruction: Inverse problems meet neural networks

D Liang, J Cheng, Z Ke, L Ying - IEEE Signal Processing …, 2020 - ieeexplore.ieee.org
… playing an important role in fast magnetic resonance imagingreconstruction with fewer
measurements. This article provides an overview of deep-learning-based image reconstruction

Ultrafast ultrasound imaging as an inverse problem: Matrix-free sparse image reconstruction

A Besson, D Perdios, F Martinez, Z Chen… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
image reconstruction methods rely on delay-and-sum (DAS) beamforming, which is a relatively
poor solution to the image reconstruction … and a strong prior on the image under scrutiny. …

Image reconstruction: an overview for clinicians

MS Hansen, P Kellman - … of Magnetic Resonance Imaging, 2015 - Wiley Online Library
… in image space and the role of the image reconstruction process is to transform the acquired
raw data into images … and applies the inverse model on the data to obtain the image result. …

SVD pseudoinversion image reconstruction

Y Shim, Z Cho - IEEE Transactions on Acoustics, Speech, and …, 1981 - ieeexplore.ieee.org
reconstruction, a pseudoinversion method was proposed and tested experimentally for image
reconstructionimage reconstruction using coarse image modeling, whch means that an …

Image reconstruction by domain-transform manifold learning

B Zhu, JZ Liu, SF Cauley, BR Rosen, MS Rosen - Nature, 2018 - nature.com
image reconstruction using MRI as a model system, but we emphasize that our approach is
applicable to image reconstruction … , many inverse encoding models for image reconstruction

Image reconstruction and restoration: Overview of common estimation structures and problems

G Demoment - IEEE Transactions on Acoustics, Speech, and …, 1989 - ieeexplore.ieee.org
… edges and circulant structure of the covariance or weighting matrix can be made, the matrix
to be inverted is circulant in the case of a space-invariant degradation. It can then be rapidly …

Unbiased image reconstruction as an inverse problem

FP Pijpers - Monthly Notices of the Royal Astronomical Society, 1999 - academic.oup.com
… K, the matrix inversion becomes intractable very … image of M×M pixels the number of elements
in the matrix A is M 2 ×M 2 . The matrix A is symmetric but even so a naive matrix inversion