Title :
Random matrix route to image denoising
Author :
Ray, Kaushik ; Wu, Q. M Jonathan ; Basu, Gaurab ; Panigrahi, Prasant K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Windsor, Windsor, ON, Canada
Abstract :
We make use of recent results from random matrix theory to identify a derived threshold, for isolating noise from image features. The procedure assumes the existence of a set of noisy images, where denoising can be carried out on individual rows or columns independently. The fact that these are guaranteed to be correlated makes the correlation matrix an ideal tool for isolating noise. The random matrix result provides lowest and highest eigenvalues for the Gaussian random noise for which case, the eigenvalue distribution function is analytically known. This provides an ideal threshold for removing Gaussian random noise and thereby separating the universal noisy features from the non-universal components belonging to the specific image under consideration.
Keywords :
Gaussian noise; eigenvalues and eigenfunctions; image denoising; Gaussian random noise; correlation matrix; eigenvalue distribution function; image denoising; image features; noise isolation; nonuniversal components; random matrix route; universal noisy features; Correlation; Eigenvalues and eigenfunctions; Image reconstruction; Noise measurement; Noise reduction; PSNR;
Conference_Titel :
Systems and Informatics (ICSAI), 2012 International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4673-0198-5
DOI :
10.1109/ICSAI.2012.6223437