Shape representation and recognition through morphological curvature scale spaces

A.C. Jalba, M.H.F. Wilkinson and J.B.T.M. Roerdink. Shape representation and recognition through morphological curvature scale spaces. IEEE Trans. Image processing 15 (2), pp. 331-341, 2006.


Abstract

A multi-scale, morphological method for the purpose of shape-based object recognition is presented. A connected operator similar to the morphological hat-transform is defined, and two scale-space representations are built, using the curvature function as the underlying 1-D signal. Each peak and valley of the curvature is extracted and described by its maximum and average heights and by its extent, and represents an entry in the top or bottom hat-transform scale spaces. We demonstrate object recognition based on hat-transform scale spaces for three large data sets, a set of diatom contours, the set of silhouettes from the MPEG-7 database and the set of 2-D views of 3-D objects from the COIL-20 database. Our approach outperforms other methods for which comparative results exist.

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