X-ray tomography is a powerful tool that enables scientists and engineers to peer inside of objects in 3D, including computer ...

In this note, we present results on extrapolated iterative methods, especially the extrapolated successive overrelaxation (ESOR). We show that they converge even if the original iteration diverges ...

Given a sequence $\{x_n\}^\infty_{n=0}$ in a Banach space, it is well known that if there is a sequence $\{t_n\}^\infty_{n=0}$ such that $\|x_{n+1} - x_n\| \leqslant ...

iterative algorithms; optimization; signal processing; medical imaging. iterative methods for solving large-scale systems of equations with constraints; image reconstruction from CAT and PET scan data ...

We propose a method for reconstructing a probability density function (pdf) from a sample of an n-dimensional probability distribution. The method works by iteratively applying some simple ...

With PFITRE, Brookhaven scientists achieve breakthrough 3D imaging in nanoscale X-ray tomography, combining AI and physics ...