J. Weickert, Coherence-enhancing diffusion of colour images, A. Sanfeliu, J.J. Villanueva, J. Vitrià (Eds.), Proc. VII National Symposium on Pattern Recognition and Image Analysis (VII NSPRIA, Barcelona, April 21-25, 1997), Vol. 1, 239-244, 1997.
Many image processing problems require the enhancement of coherent flow-like structures. This can be accomplished in a natural way by combining anisotropic diffusion filtering and texture analysis by means of the structure tensor (second-moment matrix). In this paper an extension of these ideas to vector-valued images is presented. A structure tensor for vector-valued images is constructed as the sum of the structure tensors of each channel. This idea generalizes Di Zenzo's gradient for colour images by introducing an additional integration scale. The common structure tensor is used for steering the diffusion processes in each channel. The advantages of the filter are illustrated by applying it to an example.
The full paper is available online as well.
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