Image De-noising with a New Threshold Value Using Wavelets

10.6339/JDS.2012.10(2).749

B. Ismail；Anjum Khan

Minimax threshold ； orthonormal bases ； universal threshold ； wavelet shrinkage

Journal of Data Science

10卷2期（2012 / 04 / 01）

259 - 270

英文

The image de-noising is the process to remove the noise from the image naturally corrupted by the noise. The wavelet method is one among the various methods for recovering infinite dimensional objects like curves, densities, images etc. The wavelet techniques are very effective to remove the noise because of its ability to capture the energy of a signal in few energy transform values. The wavelet methods are based on shrinking the wavelet coefficients in the wavelet domain. This paper concentrates on selecting a threshold for wavelet function estimation. A new threshold value is pro-posed to shrink the wavelet coefficients obtained by wavelet decomposition of a noisy image by considering that the sub band coefficients have a generalized Gaussian distribution. The proposed threshold value is based on the power of 2 in the size 2^J x 2^J of the data that can be computed efficiently. The experiment has been conducted on various test images to compare with the established threshold parameters. The result shows that the proposed threshold value removes the noise significantly.

1. 王悅筑(2016)。Nafion®/SBA-15質子交換複合膜之製備及其於直接甲醇燃料電池電解質之應用。國立臺灣大學化學系學位論文。2016。1-92。