Unified Morphological Color Processing Framework in a Lum/Sat/Hue Representation

The extension of lattice based operators to color images is still a challenging task in mathematical morphology. The first choice of a well-defined color space is crucial and we propose to work on a lum/sat/hue representation in norm L1. We then introduce an unified framework to consider different ways of defining morphological color operators either using the classical formulation with total orderings by means of lexicographic cascades or developing new transformations which takes advantage of an adaptive combination of the chromatic and the achromatic (or the spectral and the spatio-geometric) components. More precisely, we prove that the presented saturation-controlled operators cope satisfactorily with the complexity of color images. Experimental results illustrate the performance and the potential applications of the new algorithms.

[1]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[2]  Jesús Angulo.  Morphologie mathématique et indexation d'images couleur : application à la microscopie en biomédecine. (Mathematical morphology and image colour indexing : application in bio-medical microscopy) , 2003 .

[3]  Richard Alan Peters,et al.  Mathematical morphology for angle-valued images , 1997, Electronic Imaging.

[4]  Krishnamoorthy Sivakumar,et al.  Morphological Operators for Image Sequences , 1995, Comput. Vis. Image Underst..

[5]  V. Barnett.  The Ordering of Multivariate Data , 1976 .

[6]  Allan Hanbury,et al.  Morphological operators on the unit circle , 2001, IEEE Trans. Image Process..

[7]  Fernand Meyer,et al.  The levelings , 1998 .

[8]  Jesús Angulo,et al.  Color segmentation by ordered mergings , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[9]  Luc Vincent,et al.  Morphological grayscale reconstruction in image analysis: applications and efficient algorithms , 1993, IEEE Trans. Image Process..

[10]  Allan Hanbury,et al.  Mathematical Morphology in the HLS Colour Space , 2001, BMVC.

[11]  Fernand Meyer,et al.  An Overview of Morphological Segmentation , 2001, Int. J. Pattern Recognit. Artif. Intell..

[12]  Jean Paul Frédéric Serra,et al.  A Lattice Approach to Image Segmentation , 2005, Journal of Mathematical Imaging and Vision.

[13]  Jesús Angulo,et al.  Morphological coding of color images by vector connected filters , 2003, Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings..

[14]  Fernando Torres-Medina,et al.  Comparative study of vectorial morphological operations in different color spaces , 2001, SPIE Optics East.