Congruence, similarity and symmetries of geometric objects
Discrete & Computational Geometry - ACM Symposium on Computational Geometry, Waterloo
Context-free attentional operators: the generalized symmetry transform
International Journal of Computer Vision - Special issue on qualitative vision
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Approximate symmetry detection for reverse engineering
Proceedings of the sixth ACM symposium on Solid modeling and applications
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Accurate detection of symmetries in 3D shapes
ACM Transactions on Graphics (TOG)
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
ACM SIGGRAPH 2007 papers
IEEE Transactions on Computers
Detecting approximate symmetries of discrete point subsets
Computer-Aided Design
Towards the standardized exchange of parameterized feature-based CAD models
Computer-Aided Design
Detecting symmetry and symmetric constellations of features
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
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The base of this paper was a new method for the detection of exact and approximate reflective symmetry shown earlier [1]. The searching algorithm was based on the definition of the so called symmetry-parameter which is a rate of the symmetry, a number between 0 and 1 without a dimension and its value does not depend on geometrical measures. A so called shape-diagram was determined from the symmetry-parameters computed for various lines crossing the gravity centre. Beside the possibility of the symmetry detection, the shape-diagram shows an individual shape property of the 2D figures, independently from geometrical measures. In this paper we show a process in which similar 2D figures are sorted out from a multitude of different figures independently from geometrical measures using the definition of the shape-diagram.