Spatial Filtering Applications from Medical Images to 2D Turbulence Using the Fourth-Order and Shock PDEs Methods in Complex Domain
Tamer Nabil, Waleed Abdel Kareem · 2013
The complex fourth-order as well as the complex shock partial differential equations (PDEs) is introduced for noise removal from medical images and 2D turbulent flow. The Lattice Boltzmann method (LBM) with a single relaxation model is used to obtain the velocity field of the turbulent flow. The two filtering methods are applied against the vorticity field of the flow. Comparisons between the results of the two methods for medical images and 2D turbulence are extensively studied. Investigation and identification of the filtering parameters are also considered. It is shown that the proposed filtering methods are effective for noise removal in both applications. Results indicate that the complex fourth-order PDE method extracts the coherent and incoherent parts more clearly compared with the shock method.