Solution of nonlinear diffusion appearing in image smoothing and edge detection
type: Item
instance of: scholarly article
title: Solution of nonlinear diffusion appearing in image smoothing and edge detection
zbMATH Open document ID: 0823.65089
DOI: 10.1016/0168-9274(95)00008-I
author: Karol Mikula
author: Jozef Kacur
published in: Applied Numerical Mathematics
publication date: 1995-10-24T00:00:00Z
review text: The paper deals with the numerical approximation of a nonlinear diffusion equation which has been proposed to solve problems in the theory of signal filtering, edge detection and image restoration. The main contribution is based on Rothe's approximation in time and on a finite element approach in space. The convergence is proved.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 758538
zbMATH Keywords: nonlinear diffusion equation
zbMATH Keywords: signal filtering
zbMATH Keywords: edge detection
zbMATH Keywords: image restoration
zbMATH Keywords: Rothe's approximation
zbMATH Keywords: finite element
zbMATH Keywords: convergence
reviewed by: Guy Jumarie
MaRDI profile type: Publication
cites work: Axioms and fundamental equations of image processing
cites work: Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
cites work: Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
cites work: Q4777920
cites work: Q4139197
cites work: Q3094428
full work available at URL: 0168-9274(95)00008-i
OpenAlex ID: W2023160887
description: scientific article; zbMATH DE number 758538