38 citations · 359 across the 23 of their papers we have counts for
9 papers · 1 filter
Discrete Tomography of Penrose Model Sets
Michael Baake, Christian Huck
Various theoretical and algorithmic aspects of inverse problems in discrete tomography of planar Penrose model sets are discussed. These are motivated by the demand of materials sc…
Homometric model sets and window covariograms
Michael Baake, Uwe Grimm
Two Delone sets are called homometric when they share the same autocorrelation or Patterson measure. A model set LAMBDA within a given cut and project scheme is a Delone set that i…
A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns
Michael Baake, Dirk Frettlöh, Uwe Grimm
Diffraction images with continuous rotation symmetry arise from amorphous systems, but also from regular crystals when investigated by powder diffraction. On the theoretical side,…
Pinwheel patterns and powder diffraction
Michael Baake, Dirk Frettlöh, Uwe Grimm
Pinwheel patterns and their higher dimensional generalisations display continuous circular or spherical symmetries in spite of being perfectly ordered. The same symmetries show up…
Coincidence site modules in 3-space
Michael Baake, Peter Pleasants, Ulf Rehmann
The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, b…
Discrete Tomography of Planar Model Sets
M. Baake, P. Gritzmann, C. Huck +2
Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach…