Multiscale shape analysis using the continuous wavelet transform

We present a new approach to shape representation and analysis, which consists in treating the contour of a 2D shape as an 1D signal and analyzing it with the 1D continuous wavelet transform. Application is made to the detection of corners, natural scales and fractal behavior in 2D shapes.

[1]  Farzin Mokhtarian,et al.  A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Paul L. Rosin Representing curves at their natural scales , 1992, Pattern Recognit..

[3]  Rafael Molina,et al.  A method for invariant pattern recognition using the scale-vector representation of planar curves , 1995, Signal Process..

[4]  Roberto Marcondes Cesar Junior,et al.  Shape characterization in natural scales by using the multiscale bending energy , 1996, ICPR.

[5]  R. Marcondes Cesar,et al.  Shape characterization in natural scales by using the multiscale bending energy , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[6]  Andrew F. Laine,et al.  Wavelet descriptors for multiresolution recognition of handprinted characters , 1995, Pattern Recognit..

[7]  Jean-Pierre Antoine,et al.  Image analysis with two-dimensional continuous wavelet transform , 1993, Signal Process..

[8]  Damien Barache Proprietes algebriques et spectrales des structures aperiodiques en physique de solides , 1995 .

[9]  E. Bacry,et al.  The Multifractal Formalism Revisited with Wavelets , 1994 .

[10]  Roberto Marcondes Cesar Junior,et al.  Towards effective planar shape representation with multiscale digital curvature analysis based on signal processing techniques , 1996, Pattern Recognit..

[11]  Matthias Holschneider,et al.  Wavelets - an analysis tool , 1995, Oxford mathematical monographs.

[12]  Stéphane Mallat,et al.  Singularity detection and processing with wavelets , 1992, IEEE Trans. Inf. Theory.