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Full-Text Articles in Physics
Towards Generalized Noise-Level Dependent Crystallographic Symmetry Classifications Of More Or Less Periodic Crystal Patterns, Peter Moeck
Physics Faculty Publications and Presentations
Geometric Akaike Information Criteria (G-AICs) for generalized noise-level dependent crystallographic symmetry classifications of two-dimensional (2D) images that are more or less periodic in either two or one dimensions as well as Akaike weights for multi-model inferences and predictions are reviewed. Such novel classifications do not refer to a single crystallographic symmetry class exclusively in a qualitative and definitive way. Instead, they are quantitative, spread over a range of crystallographic symmetry classes, and provide opportunities for inferences from all classes (within the range) simultaneously. The novel classifications are based on information theory and depend only on information that has been extracted …
Accurate Lattice Parameters From 2d-Periodic Images For Subsequent Bravais Lattice Type Assignments, Peter Moeck, Paul R. Destefano
Accurate Lattice Parameters From 2d-Periodic Images For Subsequent Bravais Lattice Type Assignments, Peter Moeck, Paul R. Destefano
Physics Faculty Publications and Presentations
Three different algorithms, as implemented in three different computer programs, were put to the task of extracting direct space lattice parameters from four sets of synthetic images that were per design more or less periodic in two dimensions (2D). One of the test images in each set was per design free of noise and, therefore, genuinely 2D periodic so that it adhered perfectly to the constraints of a Bravais lattice type, Laue class, and plane symmetry group. Gaussian noise with a mean of zero and standard deviations of 10 and 50% of the maximal pixel intensity was added to the …