24 citations · 47 across the 8 of their papers we have counts for
9 papers
Joint reconstruction-segmentation on graphs
Jeremy Budd, Yves van Gennip, Jonas Latz +2
Practical image segmentation tasks concern images which must be reconstructed from noisy, distorted, and/or incomplete observations. A recent approach for solving such tasks is to…
Deep Limits of Residual Neural Networks
Matthew Thorpe, Yves van Gennip
Neural networks have been very successful in many applications; we often, however, lack a theoretical understanding of what the neural networks are actually learning. This problem…
An MBO scheme for minimizing the graph Ohta-Kawasaki functional
Yves van Gennip
We study a graph based version of the Ohta-Kawasaki functional, which was originally introduced in a continuum setting to model pattern formation in diblock copolymer melts and has…
A Max-Cut approximation using a graph based MBO scheme
Blaine Keetch, Yves van Gennip
The Max-Cut problem is a well known combinatorial optimization problem. In this paper we describe a fast approximation method. Given a graph G, we want to find a cut whose size is…
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
Luca Calatroni, Yves van Gennip, Carola-Bibiane Schönlieb +2
We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on t…
A Regularization Approach to Blind Deblurring and Denoising of QR Barcodes
Yves van Gennip, Prashant Athavale, Jérôme Gilles +1
QR bar codes are prototypical images for which part of the image is a priori known (required patterns). Open source bar code readers, such as ZBar, are readily available. We exploi…
Anisotropic Total Variation Regularized L^1-Approximation and Denoising/Deblurring of 2D Bar Codes
Rustum Choksi, Yves van Gennip, Adam Oberman
We consider variations of the Rudin-Osher-Fatemi functional which are particularly well-suited to denoising and deblurring of 2D bar codes. These functionals consist of an anisotro…
Deblurring of One Dimensional Bar Codes via Total Variation Energy Minimisation
Rustum Choksi, Yves van Gennip
Using total variation based energy minimisation we address the recovery of a blurred (convoluted) one dimensional (1D) barcode. We consider functionals defined over all possible ba…
The H^{-1}-norm of tubular neighbourhoods of curves
Yves van Gennip, Mark A. Peletier
We study the H^{-1}-norm of the function 1 on tubular neighbourhoods of curves in R^2. We take the limit of small thickness epsilon, and we prove two different asymptotic results.…