Title: A non-linear complex diffusion-based edge and structure preserving zooming technique for MRI and ultrasound images

Authors: Rajeev Srivastava, J.R.P. Gupta, Harish Parthasarthy

Addresses: Department of Computer Engineering, Institute of Technology, Banaras Hindu University (IT-BHU), Varanasi 221005, Uttar Pradesh, India. ' Department of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, India. ' Department of Electronics and Communication Engineering, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, India

Abstract: In this paper, a non-linear complex diffusion-based edge and structure preserving image zooming technique for Magnetic Resonance Imaging (MRI) and ultrasound images is proposed. The proposed method performs regularisation, edge and structure preservation of digital medical MRI and ultrasound images, which were initially zoomed using one of the linear interpolation methods such as nearest-neighbour, bilinear and bi-cubic. For digital implementations, the proposed model is discretised using finite differences schemes. The scheme is implemented in MATLAB 7.0 and tested for various MRI and ultrasound images. A comparative analysis of the proposed scheme with the standard existing schemes have been performed in terms of Mean Square Error (MSE), Peak Signal-to-Noise Ratio (PSNR), Correlation Parameter (CP), Mean Structure Similarity Index Map (MSSIM) and histogram analysis. The obtained results justify the applicability of the proposed scheme.

Keywords: PDE; partial differential equations; medical image interpolation; image zooming; nonlinear complex diffusion; Schrodinger wave equation; medical imaging; ultrasound images; MRI images; biomedical engineering; performance comparison; image structure preservation; magnetic resonance imaging; edge preservation.

DOI: 10.1504/IJBET.2011.041123

International Journal of Biomedical Engineering and Technology, 2011 Vol.6 No.2, pp.178 - 199

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 09 Jul 2011 *

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