GENERIC REACTION-DIFFUSION MODEL WITH APPLICATION TO IMAGE RESTORATION AND ENHANCEMENT

被引：0

作者：

Aarab, Amal ^{[1
]}

Alaa, Nour Eddine ^{[1
]}

Khalfi, Hamza ^{[1
]}

机构：

[1] Fac Sci & Technol, Lab Lamai, Marrakech, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Reaction Diffusion; image restoration; parabolic system; nonlinear partial differential equation; Schauder fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article provides the existence of a global solution to a generic reaction-diffusion system. The main result is a generalization of the work presented by [2, 5, 11] in the case of a reaction-diffusion equation. We show the existence of a global weak solution to the considered system in the case of quasi-positivity and a triangular structure condition on the nonlinearities [12]. An example of application of our result is demonstrated on a novel bio-inspired image restoration model [1].

引用

页数：12

共 50 条

[1] IMAGE RESTORATION USING A REACTION-DIFFUSION PROCESS
Alaa, Noureddine
Aitoussous, Mohammed
Bouarifi, Walid
Bensikaddour, Djemaa
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[2] Reaction-diffusion equation based image restoration
Zhao, Xueqing
Huang, Keke
Wang, Xiaoming
Shi, Meihong
Zhu, Xinjuan
Gao, Quanli
Yu, Zhaofei
APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 588 - 606
[3] On a reaction-diffusion system applied to image decomposition and restoration
Guo, Zhichang
Yin, Jingxue
Liu, Qiang
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 1336 - 1350
[4] Bifurcation Analysis of a Generic Reaction-Diffusion Turing Model
Liu, Ping
Shi, Junping
Wang, Rui
Wang, Yuwen
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (04):
[5] IMAGE-ENHANCEMENT AND ANALYSIS WITH REACTION-DIFFUSION PARADIGM
PRICE, CB
WAMBACQ, P
OOSTERLINCK, A
IEE PROCEEDINGS-I COMMUNICATIONS SPEECH AND VISION, 1990, 137 (03): : 136 - 145
[6] Contrast enhancement and image smoothing with a Reaction-Diffusion equation
Wang, Huijuan
Yin, Zengqian
2008 INTERNATIONAL CONFERENCE ON OPTICAL INSTRUMENTS AND TECHNOLOGY: OPTICAL SYSTEMS AND OPTOELECTRONIC INSTRUMENTS, 2009, 7156
[7] On a fractional reaction-diffusion system applied to image decomposition and restoration
Liu, Qiang
Zhang, Zhiguang
Guo, Zhichang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (05) : 1739 - 1751
[8] Enhancement of combustion by drift in a coupled reaction-diffusion model
Markely, LRA
Andrzejewski, D
Butzlaff, E
Kiselev, A
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2006, 4 (01) : 213 - 225
[9] COMPARISON BETWEEN A GENERIC REACTION-DIFFUSION MODEL AND A SYNERGETIC SEMICONDUCTOR SYSTEM
PARISI, J
PEINKE, J
ROHRICHT, B
RAU, U
KLEIN, M
ROSSLER, OE
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1987, 42 (06): : 655 - 656
[10] A reaction-diffusion model performing stripe- and spot-image restoration and its LSI implementation
Suzuki, Yohei
Takayama, Takahiro
Motoike, Ikuko N.
Asai, Tetsuya
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 2007, 90 (01): : 20 - 29

← 1 2 3 4 5 →