Zusammenfassung
Als Symmetrie bezeichnet man Selbstkongruenz oder Selbstähnlichkeit eines Objektes unter einer Klasse von Transformationen. Häufig werden dabei die drei linearen Transformationen (Rotation, Verschiebung und Spiegelung) in der euklidischen Ebene angenommen. Übliche euklidische Symmetrien sind die Rotationssymmetrie n-ter Ordnung, die Spiegelsymmetrie, Zentral-, Radial- und Verschiebungssymmetrie.
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Literatur
Baumbach T., Ortmann W., “Shift Detection by Restoration - a new signal based method for Point Pattem Matching”, Proc. 10th ICIAP, Venedig 1999, pp. 310–315
Chetverikov D., “Pattem Orientation and Texture Symmetry”, Computer Analysis of Images and Patterns, Lecture Notes in Computer Science vol.970, Springer Verlag 1995, pp. 222-229
Darkin S.C., Herbert A.M., “The spatial region of integration for visual symmetry detection”, Proc. Royal Society London 1998, B265, pp. 659–664
Ducottet C., Daniere J., Moine M., Schon J.P., Courbon M., “Localization of objects with circular symmetry in a noisy image using wavelet transforms and adapted correlation”, PR(27) Vol.3 1994, pp. 351–364.
Hel-Or Y., Peleg S., Avnir D., “Characterization of right-handed and left-handed objects”, Department of Computer Science, The Hebrew University Jerusalem, Technical Report 89-4, 19892
Kalinke Th., Seelen W., “A Neural Network for Symmetry-Based Object Detection and Tracking”, Mustererkennung 1996, pp. 37-44
Laird A., Miller J., “Symmetry Detection for Segmentation”, Technical Report No. RR-91-56, University of Strathclyde, UK, 1991.
Masuda T., Yamamoto K., Yamada H., “Detection of Partial Symmetry”, PR(26), 1993, pp. 1245-1253
Saint-Marc P., Rom H., Medioni G., “B-Spline Contour Representation and Symmetry Detection”, PAMI(15), 1993, pp. 1191-1197
Sun C., “Fast recovery of rotational symmetry parameters using gradient orientation”, SPIE Journal of Optical Engineering 1997; Vol 36 No 4 pp. 1073–1077
Süße H., Voss K., Ortmann W., Baumbach T., “Shift Detection by Restoration” Proc. CAIP, Ljubljana 1999, pp. 33-40, Springer 1999
Verbeek P.W., Vliet L.J., “Line and edge detection by symmetry filters”, Proc. 11th IAPR Int. Conf. on Pattern Recognition 1992, VIII, pp. 749- 753
Voss K., Ortmann W., Süße H., “Bildmatching und Bewegungskompensation bei Fundus-Bildern”, Proc. 20. DAGM, Stuttgart 1998, pp 439-446
Voss K., Süße H., Ortmann W., Baumbach T., “Shift Detection by Restoration”, PR(32), 1999, pp. 2067-2068
Voss K., Ortmann W., Süße H., “Apareamiento affn de parejas de imägenes”, Proc. IV SIARP99, Habana/Cuba März 1999, pp. 35-44
Witkin A., “Scale space filtering”, Proc. Intl. Joint Conference on Artificial Intelligence, Karlsruhe, 1983
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Baumbach, T., Voss, K. (2000). Symmetriedetektion — eine robuste, signalbasierte Methode. In: Sommer, G., Krüger, N., Perwass, C. (eds) Mustererkennung 2000. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59802-9_20
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DOI: https://doi.org/10.1007/978-3-642-59802-9_20
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