Math. Model. Nat. Phenom.
Volume 3, Number 6, 2008Medical imaging
|Page(s)||131 - 145|
|Published online||24 December 2008|
A Nonlinear Parabolic Model in Processing of Medical Image
ERMA, Mohammadia Engineering School, Mohamed V
University, Ibn Sina Str., POB 765 Agdal, Rabat, Morocco
2 Mathematics and computing Department, Ain Chock Sciences Faculty, Km8 Route El Jadida, BOP 5366 Maârif, Casablanca
The image's restoration is an essential step in medical imaging. Several Filters are developped to remove noise, the most interesting are filters who permits to denoise the image preserving semantically important structures. One class of recent adaptive denoising methods is the nonlinear Partial Differential Equations who knows currently a significant success. This work deals with mathematical study for a proposed nonlinear evolution partial differential equation for image processing. The existence and the uniqueness of the solution are established. Using a finite differences method we experiment the validity of the proposed model and we illustrate the efficiently of the method using some medical images. The Signal to Noise Ration (SNR) number is used to estimate the quality of the restored images.
Mathematics Subject Classification: 68U10 / 94A08
Key words: nonlinear parabolic model / image processing / Hilbert space
© EDP Sciences, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.