Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming

A Singer, Y Shkolnisky - SIAM journal on imaging sciences, 2011 - SIAM
The cryo-electron microscopy reconstruction problem is to find the three-dimensional (3D)
structure of a macromolecule given noisy samples of its two-dimensional projection images …

Fast and accurate polar Fourier transform

A Averbuch, RR Coifman, DL Donoho, M Elad… - Applied and …, 2006 - Elsevier
In a wide range of applied problems of 2D and 3D imaging a continuous formulation of the
problem places great emphasis on obtaining and manipulating the Fourier transform in …

A chirplet transform-based mode retrieval method for multicomponent signals with crossover instantaneous frequencies

L Li, N Han, Q Jiang, CK Chui - Digital Signal Processing, 2022 - Elsevier
In nature and engineering world, the acquired signals are usually affected by multiple
complicated factors and appear as multicomponent nonstationary modes. In such and many …

Viewing direction estimation in cryo-EM using synchronization

Y Shkolnisky, A Singer - SIAM journal on imaging sciences, 2012 - SIAM
A central task in recovering the structure of a macromolecule from cryo-electron microscopy
(cryo-EM) images is to determine a three-dimensional model of the macromolecule given …

Application of nature-inspired algorithms to computed tomography with incomplete data

M Pleszczyński, A Zielonka, M Woźniak - Symmetry, 2022 - mdpi.com
This paper discusses and compares several computed tomography (CT) algorithms capable
of dealing with incomplete data. This type of problem has been proposed for a symmetrical …

Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction

YZ O'Connor, JA Fessler - IEEE transactions on medical …, 2006 - ieeexplore.ieee.org
Fourier-based forward and back-projection methods can reduce computation in iterative
tomographic image reconstruction. Recently, an optimized nonuniform fast Fourier transform …

Fast algorithms and efficient GPU implementations for the Radon transform and the back-projection operator represented as convolution operators

F Andersson, M Carlsson, VV Nikitin - SIAM Journal on Imaging Sciences, 2016 - SIAM
The Radon transform and its adjoint, the back-projection operator, can both be expressed as
convolutions in log-polar coordinates. Hence, fast algorithms for the application of these …

Spectral 6dof registration of noisy 3d range data with partial overlap

H Bülow, A Birk - IEEE transactions on pattern analysis and …, 2012 - ieeexplore.ieee.org
We present Spectral Registration with Multilayer Resampling (SRMR) as a 6 Degrees Of
Freedom (DOF) registration method for noisy 3D data with partial overlap. The algorithm is …

Application of heuristic algorithms in the tomography problem for pre-mining anomaly detection in coal seams

R Brociek, M Pleszczyński, A Zielonka, A Wajda… - Sensors, 2022 - mdpi.com
The paper presents research on a specific approach to the issue of computed tomography
with an incomplete data set. The case of incomplete information is quite common, for …

3D pulse EPR imaging from sparse-view projections via constrained, total variation minimization

Z Qiao, G Redler, B Epel, Y Qian, H Halpern - Journal of Magnetic …, 2015 - Elsevier
Tumors and tumor portions with low oxygen concentrations (pO 2) have been shown to be
resistant to radiation therapy. As such, radiation therapy efficacy may be enhanced if …