HMTs and Texture and Colour


Up
Adaptive Models of Textured Regions
Wold Decomposition
GMMs and Texture
HMTs and Texture and Colour

Collaborators:

Cián Shaffrey (University of Cambridge, UK), Nick Kingsbury (University of Cambridge, UK).

Key words:

segmentation, texture, colour, hidden Markov trees, complex wavelets, Rayleigh distribution.

Resume:

Content-based image retrieval tries to access the semantics of images in the database without manual annotation. This work proposes an unsupervised segmentation method for coloured, textured images. The results of the segmentation, including the models themselves, are used as content descriptors in a retrieval system under development at the University of Cambridge.

The image likelihood model is split into texture and colour components, corresponding to the L component and the a and b components of the L*a*b* colour space respectively. The models are learned from the image before segmentation using regions found by the unsupervised "Mean Shift Iterations" technique. The texture likelihoods are hidden Markov tree models of the complex wavelet coefficient amplitudes of the L component, the marginal distributions conditioned on the hidden state being Rayleigh. The colour likelihoods are independent Gaussian models of the scaling coefficients of the a and b components. The rationale behind using complex wavelets is their improved translation invariance and directional sensitivity. The rationale behind using wavelet coefficients for texture and scaling coefficients for colour is that texture is "differential" phenomenon, while colour is an "integrated" phenomenon. Thus correlations between coloured wavelet coefficients are unlikely to add much useful information.

Classification of each coefficient subtree (and hence macropixel) is performed using maximum likelihood, after which a data fusion step is used to propagate the decisions towards fine scales, finally arriving at a pixelwise classification.

Results:

Top: original image.
Bottom: regions found by MSI.
Top: segmentation by texture only.
Middle: segmentation by colour only.
Bottom: segmentation by texture and colour.

Publications:

  • "Unsupervised Image Segmentation via Markov Trees and Complex Wavelets", Cián W. Shaffrey, Nick G. Kingsbury and Ian H. Jermyn. Proceedings of the IEEE International Conference on Image Processing (ICIP), Rochester, U.S.A., September 2002. (PDF)
 
Ariana (joint research group CNRS/INRIA/UNSA), INRIA Sophia Antipolis
2004 route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex, France.
E: Ian.Jermyn@sophia.inria.fr
T: +33 (0)4 92 38 76 83
F: +33 (0)4 92 38 76 43