Color Image Segmentation by Analysis of 3D Histogram with Fuzzy Morphological Filters

This chapter presents a new color image segmentation method using fuzzy mathematical morphological filters applied to the 3D color histogram. Segmentation consists in detecting the different modes which are present in the 3D color histogram and associated with homogeneous regions. In order to detect these modes, we show how a color image can be considered as a fuzzy subset of pixels characterized by its membership function to a mode. This function is evaluated. thanks to a concavity analysis of the 3D color histogram. Then, a fuzzy morphological transformation is applied to this membership function in order to enhance the modes. The effectiveness of our proposed fuzzy morphological approach is then illustrated with color images.

[1]  Raimondo Schettini,et al.  A segmentation algorithm for color images , 1993, Pattern Recognit. Lett..

[2]  Gaurav Sharma,et al.  Digital color imaging , 1997, IEEE Trans. Image Process..

[3]  P. Groenen,et al.  Data analysis, classification, and related methods , 2000 .

[4]  Claudine Botte-Lecocq,et al.  Application of fuzzy mathematical morphology for pattern classification , 1998 .

[5]  Isabelle Bloch,et al.  Fuzzy mathematical morphologies: A comparative study , 1995, Pattern Recognit..

[6]  Robert L. Cannon,et al.  Iterative fuzzy image segmentation , 1985, Pattern Recognit..

[7]  T. Kanade,et al.  Color information for region segmentation , 1980 .

[8]  Jing Li Wang,et al.  Color image segmentation: advances and prospects , 2001, Pattern Recognit..

[9]  Sang Uk Lee,et al.  On the color image segmentation algorithm based on the thresholding and the fuzzy c-means techniques , 1990, Pattern Recognit..

[10]  Josef Kittler,et al.  Pattern recognition : a statistical approach , 1982 .

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

[12]  S. Tominaga.  Color classification of natural color images , 1992 .

[13]  Jack-Gérard Postaire,et al.  Cluster Analysis by Binary Morphology , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Sang Uk Lee,et al.  Color image segmentation based on 3-D clustering: morphological approach , 1998, Pattern Recognit..

[15]  Xinhua Zhuang,et al.  Image Analysis Using Mathematical Morphology , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Ludovic Macaire,et al.  Application of Fuzzy Mathematical Morphology for Unsupervised Color Pixels Classification , 2000 .

[17]  H. Yan,et al.  Color image segmentation using fuzzy integral and mountain clustering , 1999, Fuzzy Sets Syst..

[18]  Josef Kittler,et al.  Histogram-based segmentation in a perceptually uniform color space , 1998, IEEE Trans. Image Process..