Title: Modified complex diffusion based nonlinear filter for restoration and enhancement of magnetic resonance images

Authors: R.B. Yadav; Subodh Srivastava; Rajeev Srivastava

Addresses: Department of Computer Science and Engineering, Indian Institute of Technology (BHU), Varanasi 221005, UP, India ' Department of Computer Science and Engineering, Indian Institute of Technology (BHU), Varanasi 221005, UP, India ' Department of Computer Science and Engineering, Indian Institute of Technology (BHU), Varanasi 221005, UP, India

Abstract: In this paper, a new method is proposed for removal of Rician noise from MRI. Method is casted into a variational framework, consists of two terms wherein the first term is a data likelihood term and the second term is a prior function. The first term is obtained by minimising the negative log likelihood of Rician pdf. Owing to ill-posedness of the likelihood term, a prior function is introduced which is a nonlinear complex diffusion based filter. A regularisation parameter is used to balance the trade-off between data fidelity term and prior. The performance analysis of the proposed method with other standard methods is presented for Brain Web dataset. The values of performance measures such as PSNR, RMSE, SSIM, and CP are presented for various noise levels. From the simulation results, it is observed that the proposed method is performing better in comparison to other methods in consideration.

Keywords: Rician noise reduction; 2D MRI; Rician PDF; nonlinear PDEs; partial differential equations; nonlinear filters; modified complex diffusion; image restoration; image enhancement; magnetic resonance images; magnetic resonance imaging; simulation.

DOI: 10.1504/IJBET.2017.082226

International Journal of Biomedical Engineering and Technology, 2017 Vol.23 No.1, pp.19 - 37

Received: 07 Dec 2015
Accepted: 03 Apr 2016
Published online: 13 Feb 2017 *

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