Bayesian Estimation of the Multifractality Parameter for Image Texture Using a Whittle Approximation

@article{Combrexelle2015BayesianEO,
  title={Bayesian Estimation of the Multifractality Parameter for Image Texture Using a Whittle Approximation},
  author={S. Combrexelle and H. Wendt and N. Dobigeon and J. Tourneret and S. Mclaughlin and P. Abry},
  journal={IEEE Transactions on Image Processing},
  year={2015},
  volume={24},
  pages={2540-2551}
}
Texture characterization is a central element in many image processing applications. Multifractal analysis is a useful signal and image processing tool, yet, the accurate estimation of multifractal parameters for image texture remains a challenge. This is due in the main to the fact that current estimation procedures consist of performing linear regressions across frequency scales of the 2D dyadic wavelet transform, for which only a few such scales are computable for images. The strongly non… Expand
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References

SHOWING 1-10 OF 94 REFERENCES
Bayesian estimation for the multifractality parameter
  • 8
  • PDF
Wavelet leaders and bootstrap for multifractal analysis of images
  • 145
  • PDF
Fractional Brownian Motion: A Maximum Likelihood Estimator and Its Application to Image Texture
  • 371
Wavelet Leader multifractal analysis for texture classification
  • 42
  • PDF
Estimation of fractal signals from noisy measurements using wavelets
  • 389
A new texture descriptor using multifractal analysis in multi-orientation wavelet pyramid
  • 129
  • PDF
Texture classification and segmentation using wavelet frames
  • M. Unser
  • Mathematics, Computer Science
  • IEEE Trans. Image Process.
  • 1995
  • 1,518
  • PDF
...
1
2
3
4
5
...