4 papers
Unified Models for Second-Order TV-Type Regularisation in Imaging - A New Perspective Based on Vector Operators
Eva-Maria Brinkmann, Martin Burger, Joana Sarah Grah
We introduce a novel regulariser based on the natural vector field operations gradient, divergence, curl and shear. For suitable choices of the weighting parameters contained in ou…
Learning Filter Functions in Regularisers by Minimising Quotients
Martin Benning, Guy Gilboa, Joana Sarah Grah +1
Learning approaches have recently become very popular in the field of inverse problems. A large variety of methods has been established in recent years, ranging from bi-level learn…
Mathematical Imaging Methods for Mitosis Analysis in Live-Cell Phase Contrast Microscopy
Joana Sarah Grah, Jennifer Alison Harrington, Siang Boon Koh +5
In this paper we propose a workflow to detect and track mitotic cells in time-lapse microscopy image sequences. In order to avoid the requirement for cell lines expressing fluoresc…
Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction
Eva-Maria Brinkmann, Martin Burger, Joana Grah
This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential f…