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Representation of images of flat and spatial objects by a set of ellipsoids

A.G. Khramov1,2   A.O. Korepanov1,2
1Image Processing Systems Institute of RAS 

2Samara State Aerospace University named after academician S.P. Korolev 


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Pages: 94-99.

Abstract:
The paper considers an approach to the analysis of the geometric characteristics of two- and three-dimensional images based on the representation of the latter by a set of geometric primitives – ellipsoids. The main characteristics of ellipsoids in n-dimensional affine space are considered, the operation of adding ellipsoids and their weighted sum are determined.

Keywords:
ellipsoid, two- and three-dimensional image, affine space are.

Citation:
Khramov AG, Korepanov AO. Representation of images of flat and spatial objects by a set of ellipsoids. Computer Optics 2005; 28: 94-99.

References:
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  4. Voss K, Suesse H. Invariant fitting of planar objects by primitives. IEEE Proceedings of the International Conference on Pattern Recognition (ICPR-1996) 1996: 508-512. 
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