43 citations · 102 across the 11 of their papers we have counts for
11 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…
Power-SLIC: Fast Superpixel Segmentations by Diagrams
Maximilian Fiedler, Andreas Alpers
Superpixel algorithms grouping pixels with similar color and other low-level properties are increasingly used for pre-processing in image segmentation. In recent years, a focus has…
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…
Reconstructing binary matrices under window constraints from their row and column sums
Andreas Alpers, Peter Gritzmann
The present paper deals with the discrete inverse problem of reconstructing binary matrices from their row and column sums under additional constraints on the number and pattern of…