Algorithms for random fractals
The Science of Fractal Images
Algorithms to estimating fractal dimension of textured images
ICASSP '01 Proceedings of the Acoustics, Speech, and Signal Processing, 2001. on IEEE International Conference - Volume 03
Computers in Biology and Medicine
Fractal dimension and lacunarity of psoriatic lesions: a colour approach
BEBI'09 Proceedings of the 2nd WSEAS international conference on Biomedical electronics and biomedical informatics
Fractal Dimension of Color Fractal Images
IEEE Transactions on Image Processing
Towards video quality metrics based on colour fractal geometry
Journal on Image and Video Processing - Special issue on emerging methods for color image and video quality enhancement
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Lacunarity is a very useful metric for the multi-scale analysis of the images that exhibit fractal properties. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for one dimensional signals or binary images with extension to grey-scale images. We propose a colour expression of the lacunarity based on the probabilistic algorithm for the computation of the fractal dimension. To validate this new approach, we used both synthetic colour fractal images and natural fractal images. We comment our results and spot several issues regarding the interpretation of lacunarity curves, then we conclude.