7 citations · 7 across the 4 of their papers we have counts for
4 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…
Constrained clustering via diagrams: A unified theory and its applications to electoral district design
Andreas Brieden, Peter Gritzmann, Fabian Klemm
The paper develops a general framework for constrained clustering which is based on the close connection of geometric clustering and diagrams. Various new structural and algorithmi…