Mathematical Imaging Methods for Mitosis Analysis in Live-Cell Phase Contrast Microscopy
Development of imaging tools to automate and facilitate mitosis analysis in cancer research by using the circular Hough transform for mitotic cell detection and variational methods for subsequent tracking of the cells to determine length and outcome of mitosis.
Learning Filter Functions in Regularisers by Minimising Quotients
Model allowing for both fit- and misfit-training data while resembling behaviour of well-established derivative- based sparse regularisers as well as introducing novel families of non-derivative-based regularisers.
Image Compression and TV-Type Denoising with Sparse Vector Fields / Regularisation with Circular Hough Transform.