Biomedical Imaging GroupSTI
English only   BIG > Publications > Image Denoising

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

SURE-LET Interscale-Intercolor Wavelet Thresholding for Color Image Denoising

F. Luisier, T. Blu

Proceedings of the SPIE Optics and Photonics 2007 Conference on Mathematical Methods: Wavelet XII, San Diego CA, USA, August 26-29, 2007, vol. 6701, pp. 67011H-1/67011H-10.

We propose a new orthonormal wavelet thresholding algorithm for denoising color images that are assumed to be corrupted by additive Gaussian white noise of known intercolor covariance matrix. The proposed wavelet denoiser consists of a linear expansion of thresholding (LET) functions, integrating both the interscale and intercolor dependencies. The linear parameters of the combination are then solved for by minimizing Stein's unbiased risk estimate (SURE), which is nothing but a robust unbiased estimate of the mean squared error (MSE) between the (unknown) noise-free data and the denoised one. Thanks to the quadratic form of this MSE estimate, the parameters optimization simply amounts to solve a linear system of equations.

The experimentations we made over a wide range of noise levels and for a representative set of standard color images have shown that our algorithm yields even slightly better peak signal-to-noise ratios than most state-of-the-art wavelet thresholding procedures, even when the latters are executed in an undecimated wavelet representation.

AUTHOR="Luisier, F. and Blu, T.",
TITLE="{SURE-LET} Interscale-Intercolor Wavelet Thresholding for Color
        Image Denoising",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical Imaging:
        {W}avelet {XII}",
address="San Diego CA, USA",
month="August 26-29,",

© 2007 SPIE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SPIE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.