title: Image denoising in bidimensional empirical mode decomposition domain: the role of Student's probability distribution function.
abstract: Hybridisation of the bi-dimensional empirical mode decomposition (BEMD) with denoising techniques has been proposed in the literature as an effective approach for image denoising. In this Letter, the Student's probability density function is introduced in the computation of the mean envelope of the data during the BEMD sifting process to make it robust to values that are far from the mean. The resulting BEMD is denoted tBEMD. In order to show the effectiveness of the tBEMD, several image denoising techniques in tBEMD domain are employed; namely, fourth order partial differential equation (PDE), linear complex diffusion process (LCDP), non-linear complex diffusion process (NLCDP), and the discrete wavelet transform (DWT). Two biomedical images and a standard digital image were considered for experiments. The original images were corrupted with additive Gaussian noise with three different levels. Based on peak-signal-to-noise ratio, the experimental results show that PDE, LCDP, NLCDP, and DWT all perform better in the tBEMD than in the classical BEMD domain. It is also found that tBEMD is faster than classical BEMD when the noise level is low. When it is high, the computational cost in terms of processing time is similar. The effectiveness of the presented approach makes it promising for clinical applications.
authors.affiliation: Department of Electrical Engineering , École de Technologie Supréireure , Montreal , Canada.
authors.forename: Salim
authors.initials: S
authors.lastname: Lahmiri
keywords: BEMD sifting process; DWT; Gaussian noise; LCDP; NLCDP; PDE; Student's probability distribution function; additive Gaussian noise; bidimensional empirical mode decomposition; biodiffusion; biomedical MRI; biomedical images; classical BEMD domain; clinical applications; discrete wavelet transform; discrete wavelet transforms; fourth order partial differential equation; image denoising; linear complex diffusion process; medical image processing; nonlinear complex diffusion process; partial differential equations; peak signal-to-noise ratio; probability; standard digital image; tBEMD domain