Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 405
Existence and uniqueness of weak solution for a nonlinear parabolic equation related to image processing
Omar Gouasnouane, Karima Kabli, Noureddine Moussaid
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2341
April 15, 2341

Abstract: Image restoration is an essential preprocessing step for many image analysis applications. The techniques based on partial differential equations, such as the heat equations, are receiving considerable attention in image restoration. However, designing PDEs requires high mathematical skills and good insight into the problems. In this work, a nonlinear diffusive filter for image denoising and edge detection based on a nonlinear partial differential equation is studied analytically and tested numerically. Existence, uniqueness and regularity of the solution for the proposed mathematical model ...