Title

A new class of nonlinear hyperbolic-parabolic model for image denoising with forward-backward diffusivity.

Authors

Kumari, Santosh; Alam, Khursheed

Abstract

Image denoising and edge detection are two major problems in the area of image processing. Therefore, this study aims to proposes and mathematically analyze a nonlinear diffusion-based hyperbolic-parabolic model for image denoising and edge detection. The proposed model consists of the second derivative concerning time, preserve sharper images, and converges very fast to reduce the noise of the noisy images. The present model is well-posed, and admit a unique weak solution under certain conditions. The results of the model are computed by a finite difference method based on an iterative explicit scheme. Further, the results of the proposed model are compared with the old model for synthetic and real degradations using explicit schemes with forward-backward diffusivity.

Subjects

IMAGE denoising; FINITE difference method; IMAGE processing

Publication

Mathematics in Engineering, Science & Aerospace (MESA), 2021, Vol 12, Issue 2, p435

ISSN

2041-3165

Publication type

Academic Journal