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Curvatures and Tolerances in the Euclidean Motion Group |
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| Authors: | Hans-Peter Schröcker Johannes Wallner |
| Affiliation: | 1. Institut für Technische Mathematik, Geometrie und Bauinformatik, Universit?t Innsbruck, Technikerstrae 13, A 6020, Innsbruck, Austria 2. Institut für Diskrete Mathematik und Geometrie, Technische Universit?t Wien, Wiedner Hauptstrae 8-10/104, A 1040, Wien, Austria |
| Abstract: | We investigate the action of imprecisely defined affine and Euclidean transformations and compute tolerance zones of points and subspaces. Tolerance zones in the Euclidean motion group are analyzed by means of linearization and bounding the linearization error via the curvatures of that group with respect to an appropriate metric. |
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