43 citations · 89 across the 13 of their papers we have counts for
15 papers
Turning grain maps into diagrams
Andreas Alpers, Maximilian Fiedler, Peter Gritzmann +1
The present paper studies mathematical models for representing, imaging, and analyzing polycrystalline materials. We introduce various techniques for converting grain maps into dia…
Dynamic grain models via fast heuristics for diagram representations
Andreas Alpers, Maximilian Fiedler, Peter Gritzmann +1
The present paper introduces a mathematical model for studying dynamic grain growth. In particular, we show how characteristic measurements, grain volumes, centroids, and central s…
On resolution coresets for constrained clustering
Maximilian Fiedler, Peter Gritzmann, Fabian Klemm
Specific data compression techniques, formalized by the concept of coresets, proved to be powerful for many optimization problems. In fact, while tightly controlling the approximat…
Coresets for Weight-Constrained Anisotropic Assignment and Clustering
Maximilian Fiedler, Peter Gritzmann
The present paper constructs coresets for weight-constrained anisotropic assignment and clustering. In contrast to the well-studied unconstrained least-squares clustering problem,…
On the Reconstruction of Static and Dynamic Discrete Structures
Andreas Alpers, Peter Gritzmann
We study inverse problems of reconstructing static and dynamic discrete structures from tomographic data (with a special focus on the `classical' task of reconstructing finite poin…
Dynamic Discrete Tomography
Andreas Alpers, Peter Gritzmann
We consider the problem of reconstructing the paths of a set of points over time, where, at each of a finite set of moments in time the current positions of points in space are onl…