80 citations · 96 across the 8 of their papers we have counts for
8 papers
Joint denoising and line distortion correction for raster-scanned image series
Benjamin Berkels, Peter Binev
The problem of noise in a general data acquisition procedure can be resolved more accurately if it is based on a model that describes well the distortions of the data including bot…
Lattice Multislice Algorithm for Fast Simulation of Scanning Transmission Electron Microscopy Images
Christian Doberstein, Peter Binev
We introduce a new approach to the numerical simulation of Scanning Transmission Electron Microscopy images. The Lattice Multislice Algorithm (LMA) takes advantage of the fact that…
Solving PDEs with Incomplete Information
Peter Binev, Andrea Bonito, Albert Cohen +3
We consider the problem of numerically approximating the solutions to a partial differential equation (PDE) when there is insufficient information to determine a unique solution. O…
Optimal Learning
Peter Binev, Andrea Bonito, Ronald DeVore +1
This paper studies the problem of learning an unknown function from given data about . The learning problem is to give an approximation to that predicts the val…
Near-best adaptive approximation on conforming meshes
Peter Binev, Francesca Fierro, Andreas Veeser
We devise a generalization of tree approximation that generates conforming meshes, i.e., meshes with a particular structure like edge-to-edge triangulations. A key feature of this…
Data Assimilation in Reduced Modeling
Peter Binev, Albert Cohen, Wolfgang Dahmen +3
We consider the problem of optimal recovery of an element of a Hilbert space from measurements obtained through known linear functionals on . Pro…
Classification algorithms using adaptive partitioning
Peter Binev, Albert Cohen, Wolfgang Dahmen +1
Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementat…
Optimized imaging using non-rigid registration
Benjamin Berkels, Peter Binev, Douglas A. Blom +3
The extraordinary improvements of modern imaging devices offer access to data with unprecedented information content. However, widely used image processing methodologies fall far s…