My .emacs configuration
I have been using emacs since about 2008. My current configuration is stored in an org file. The git repository is available here. A webpage containing all settings is accessible here. My configuration focuses on LaTeX, org, Fortran, and C/C++
Optical Flow Computation
I’ve developed optimization algorithms for variational optical flow models based on the split Bregman algorithm in my Master thesis. A follow-up investigation on the necessity of certain intermediate filtering steps was published at the EMMCVPR 2011. I’ve also shown that the optical flow can be used in the context of partial differential equation based image compression. The results were presented in two publications at the SSVM 2019 and in the Journal of Mathematical Imaging and Vision.
The main task in three-dimensional non-rigid shape correspondence is to retrieve similarities between two or more similar three-dimensional objects. We analysed how well partial differential equations may be used to solve this problem. In our approach we used diffusion equations or wave equations that spread over the object surface and used the distribution of the heat/waves as feature descriptors to localize correspondences.
Latex Beamer Theme
This is a complete theme for the beamer package for LaTeX. I have used in on for regularly for several years now. The theme includes an outer, inner, font and colour theme. The colour theme is customizable and includes several popular emacs colour themes.
PDE-based image reconstruction and compression
It is possible to compress/inpaint images from very little data. In order to obtain reconstructions that are comparable to the original image it is necessary to optimize the underlying interpolation data. Several such strategies have been discussed in my PhD Thesis. In a series of subsequent publications (here, here and here) we showed the relationship to other partial differential equations and also stated conditions under which the existence of a unique solution can be asserted.