Tensor based generalization of monogenic wavelets for coherent multiscale local phase analysis of color images

Raphaël Soulard (1) , Philippe Carré (1)

1 XLIM-SIC - SIC

We propose a new color extension of the monogenic wavelet transform. Monogenic wavelets give a coherent representation of scalar images through a local phase concept and an underlying orientation analysis. We here define a color extension of the monogenic framework. The underlying local geometric analysis and phase concept are generalized by using the color structure tensor. Resulting transform appears to be a clear improvement of our previous work - that is the only proposition of color monogenic wavelets to our knowledge. This is shift and rotation invariant and efficiently represents multiscale color lines and edges.

Mots clés: Color Wavelets; Analytic; Monogenic; Wavelet transforms; Image analysis

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]

Raphaël Soulard, Philippe Carré. Tensor based generalization of monogenic wavelets for coherent multiscale local phase analysis of color images. International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012), Mar 2012, Kyoto, Japan. pp.1501--1504. ⟨hal-00685028⟩