Romanian Journal of Information Science and Technology (ROMJIST)

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ROMJIST is a publication of Romanian Academy,
Section for Information Science and Technology

Editor – in – Chief:
Academician Dan Dascalu

Secretariate (office):
Adriana Neagu
Adress for correspondence: romjist@nano-link.net (after 1st of January, 2019)

Editing of the printed version: Mihaela Marian (Publishing House of the Romanian Academy, Bucharest)

Technical editor
of the on-line version:
Lucian Milea (University POLITEHNICA of Bucharest)

Sponsors:
• National Institute for R & D
in Microtechnologies
(IMT Bucharest), www.imt.ro
• Association for Generic
and Industrial Technologies (ASTEGI), www.astegi.ro

ROMJIST Volume 23, No. S, 2020, pp. S67-S76, Paper no. 655/2020
 

Tudor BARBU
A Nonlinear Second-order Hyperbolic PDE-based Photon- limited Medical Microscopy Image Restoration Technique

ABSTRACT: A novel partial differential equation (PDE) – based denoising framework for photon-limited medical microscopy images is proposed in this article. Such a microscopy image processing approach could be further applied in the analysis of the medical images of viruses and bacteria, thus being useful in the context of the current coronavirus pandemic. The considered technique is based on a nonlinear hyperbolic second-order PDE model. The differential model is then solved numerically by applying a consistent and fast converging finite difference-based iterative approximation algorithm to it. The numerical approximation scheme provided here removes successfully the Poisson noise from the microscopy images representing viruses like COVID-19, while enhancing their essential details and thus facilitating their analysis. Quantum denoising experiments and method comparison results are also described.

KEYWORDS: Medical informatics for epidemics, photon-limited microscopy image, quantum noise, nonlinear hyperbolic second-order PDE model, finite difference-based method, numerical approximation algorithm

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