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Any Penrose tiling has local pentagonal symmetry, in the sense that there are points in the tiling surrounded by a symmetric configuration of tiles: such configurations have fivefold rotational symmetry about the center point, as well as five mirror lines of reflection symmetry passing through the point, a dihedral symmetry group.
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Moreover, in some cases the approximate configuration of the tiles may be unknown.
Moreover, the method is capable of reconstructing even mosaics with an unknown configuration of the tiles.
The method identifies the optimal configuration of image tiles regardless whether or not an initial guess of the configuration is available.
In case that prior knowledge about the gross configuration of all tiles is available, the minimization is initialized with this configuration.
The goal in reconstruction of serial section TEM (ssTEM) data is to identify the configuration of all tiles that best preserves both the continuity and geometry of 3D structures in the specimen making it amenable for subsequent segmentation and analysis.
Reducing the problem from full resolution image content to a relatively small number of corresponding points simplifies the estimation of the globally optimal configuration for a large number of tiles.
Suitable configurations for tile geometry with interlocks are then identified (with dimensions of the order of 0.6 mm) and used for the subsequent prototyping.
Work is in progress to completely replace, in 2008/9, the existing JET CFC tiles with a configuration of plasma facing materials consistent with the ITER design.
The global approach allows stitching even without prior knowledge of tile configuration.
The slam of tiles on the table.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com