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B-spline contour representation and symmetry detection
Saint-Marc, P.   Rom, H.   Medioni, G.  
Signal & Image Process. Lab., Matra-MS2I, St.-Quentin en Yvelynes;

This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Nov 1993
Volume: 15,  Issue: 11
On page(s): 1191-1197
ISSN: 0162-8828
References Cited: 43
CODEN: ITPIDJ
INSPEC Accession Number: 4580751
Digital Object Identifier: 10.1109/34.244680
Current Version Published: 2002-08-06

Abstract
The detection of edges is only one of many steps in the understanding of images. Further processing necessarily involves grouping operations between contours. We present a representation of edge contours by approximating B-splines and show that such a representation facilitates the extraction of symmetries between contours. Our representation is rich, compact, stable, and does not critically depend on feature extraction. We turn our attention to the detection of three types of symmetries: skew symmetries and parallel symmetries, which have proven to be of great importance in inferring shape from contour, and smooth local symmetries, which have been used for planar shape description. We show that our representation facilitates the computation of these symmetries

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