Applications of Soft Computing pp 473-482 | Cite as
Fuzzy Approaches for Colour Image Palette Selection
Abstract
Colour quantisation algorithms are used to display true colour images using a limited palette of distinct colours. The choice of a good colour palette is crucial as it directly determines the quality of the resulting image. Colour quantisation can also be seen as a clustering problem where the task is to identify those clusters that best represent the colours in an image. In this paper we investigate the performance of various fuzzy c-means clustering algorithms for colour quantisation of images. In particular, we use conventional fuzzy c-means as well as some more efficient variants thereof, namely fast fuzzy c-means with random sampling, fast generalised fuzzy c-means, and anisotropic mean shift based fuzzy c-means algorithm. Experimental results show that fuzzy c-means performs significantly better than other, purpose built colour quantisation algorithms, and also confirm that the fast fuzzy clustering algorithms provide quantisation results similar to the full conventional fuzzy c-means approach.
Keywords
Cluster Centre Colour Palette Bandwidth Matrix Anisotropic Kernel True Colour ImagePreview
Unable to display preview. Download preview PDF.
References
- 1.Ahmed, M., Yamany, S., Mohamed, N., Farag, A., Moriaty, T.: A modified fuzzy c-means algorithm for bias field estimation and segmentation of mri data. IEEE Trans. Medical Imaging 21, 193–199 (2002)CrossRefGoogle Scholar
- 2.Bezdek, J.: A convergence theorem for the fuzzy isodata clustering algorithms. IEEE Trans. Pattern Analysis and Machine Intelligence 2, 1–8 (1980)MATHCrossRefGoogle Scholar
- 3.Cai, W., Chen, S., Zhang, D.: Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition 40(3), 825–838 (2007)MATHCrossRefGoogle Scholar
- 4.Cheng, T., Goldgof, D., Hall, L.: Fast fuzzy clustering. Fuzzy Sets and Systems 93, 49–56 (1998)MATHCrossRefGoogle Scholar
- 5.Chuang, K., Tzeng, S., Chen, H., Wu, J., Chen, T.: Fuzzy c-means clustering with spatial information for image segmentation. Computerized Medical Imaging and Graphics 30, 9–15 (2006)CrossRefGoogle Scholar
- 6.Comaniciu, D., Meer, P.: Mean shift analysis and applications. In: 7th Int. Conference on Computer Vision, pp. 1197–1203 (1999)Google Scholar
- 7.Comaniciu, D., Meer, P.: Mean shift: a robust approach toward feature space analysis. IEEE Trans. Pattern Analysis and Machine Intelligence 24, 603–619 (2002)CrossRefGoogle Scholar
- 8.Dekker, A.H.: Kohonen neural networks for optimal colour quantization. Network: Computation in Neural Systems 5, 351–367 (1994)MATHCrossRefGoogle Scholar
- 9.Gervautz, M., Purgathofer, W.: A simple method for color quantization: Octree quantization. In: Glassner, A.S. (ed.) Graphics Gems, pp. 287–293 (1990)Google Scholar
- 10.Heckbert, P.S.: Color image quantization for frame buffer display. ACM Computer Graphics (ACM SIGGRAPH 1982 Proceedings) 16(3), 297–307 (1982)CrossRefGoogle Scholar
- 11.Hu, R., Hathaway, L.: On efficiency of optimization in fuzzy c-means. Neural, Parallel and Scientific Computation 10, 141–156 (2002)MATHMathSciNetGoogle Scholar
- 12.Nolle, L., Schaefer, G.: Color map design through optimization. Engineering Optimization 39(3), 327–343 (2007)CrossRefGoogle Scholar
- 13.Scheunders, P.: A genetic c-means clustering algorithm applied to color image quantization. Pattern Recognition 30(6), 859–866 (1997)CrossRefGoogle Scholar
- 14.Szilagyi, L., Benyo, Z., Szilagyii, S.M., Adam, H.S.: MR brain image segmentation using an enhanced fuzzy c-means algorithm. In: 25th IEEE Int. Conference on Engineering in Medicine and Biology, vol. 1, pp. 724–726 (2003)Google Scholar
- 15.Wang, J., Thiesson, B., Xu, Y., Cohen, M.: Image and video segmentation by anisotropic kernel mean shift. In: Pajdla, T., Matas, J.G. (eds.) ECCV 2004. LNCS, vol. 3022, pp. 238–249. Springer, Heidelberg (2004)CrossRefGoogle Scholar
- 16.Zhang, X.M., Wandell, B.A.: Color image fidelity metrics evaluated using image distortion maps. Signal Processing 70(3), 201–214 (1998)MATHCrossRefGoogle Scholar
- 17.Zhou, H., Schaefer, G., Shi, C.: A mean shift based fuzzy c-means algorithm for image segmentation. In: 30th IEEE Int. Conference Engineering in Medicine and Biology, pp. 3091–3094 (2008)Google Scholar