30 citations · 101 across the 28 of their papers we have counts for
5 papers · 1 filter
Sampling and Approximation of Bandlimited Volumetric Data
Rami Katz, Yoel Shkolnisky
We present an approximation scheme for functions in three dimensions, that requires only their samples on the Cartesian grid, under the assumption that the functions are sufficient…
Symmetric rank-one updates from partial spectrum with an application to out-of-sample extension
Roy Mitz, Nir Sharon, Yoel Shkolnisky
Rank-one update of the spectrum of a matrix is a fundamental problem in classical perturbation theory. In this paper, we consider its variant where only part of the spectrum is kno…
Direct Inversion of the 3D Pseudo-polar Fourier Transform
Amir Averbuch, Gil Shabat, Yoel Shkolnisky
The pseudo-polar Fourier transform is a specialized non-equally spaced Fourier transform, which evaluates the Fourier transform on a near-polar grid, known as the pseudo-polar grid…
Evaluating Non-Analytic Functions of Matrices
Nir Sharon, Yoel Shkolnisky
The paper revisits the classical problem of evaluating for a real function and a matrix with real spectrum. The evaluation is based on expanding in Chebyshev pol…
A Fourier-based Approach for Iterative 3D Reconstruction from Cryo-EM Images
Lanhui Wang, Yoel Shkolnisky, Amit Singer
A major challenge in single particle reconstruction methods using cryo-electron microscopy is to attain a resolution sufficient to interpret fine details in three-dimensional (3D)…