Alternative continuous- and discrete-time neural networks for image restoration

Li Yawei; Gao Xingbao

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Alternative continuous- and discrete-time neural networks for image restoration

机译：用于图像恢复的替代连续和离散时间神经网络

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This paper presents alternative continuous- and discrete-time neural networks for image restoration in real time by introducing new vectors and transforming its optimization conditions into a system of double projection equations. The proposed neural networks are shown to be stable in the sense of Lyapunov and convergent for any starting point. Compared with the existing neural networks for image restoration, the proposed models have the least neurons, a one-layer structure and the faster convergence, and is suitable to parallel implementation. The validity and transient behaviour of the proposed neural network is demonstrated by numerical examples.

机译：本文通过引入新载体并将其优化条件转换为双投影方程系统，为图像恢复提供替代连续和离散时间网络。所提出的神经网络在Lyapunov的意义上被证明是稳定的，并且对于任何起点。与现有的图像恢复的神经网络相比，所提出的模型具有最小神经元，单层结构和更快的收敛性，并且适合于并行实现。通过数值例子证明了所提出的神经网络的有效性和瞬态行为。

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来源
《Network》 |2019年第4期|107-124|共18页
作者
Li Yawei; Gao Xingbao;
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作者单位

Shaanxi Normal Univ Sch Math & Informat Sci Xian 710062 Shaanxi Peoples R China;

Shaanxi Normal Univ Sch Math & Informat Sci Xian 710062 Shaanxi Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Neural network; image restoration; convergence; stability;

机译：神经网络;图像恢复;收敛;稳定性;

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1. Current-mode techniques for the implementation of continuous- and discrete-time cellular neural networks [J] . Rodriguez-Vazquez A., Espejo S. IEEE Transactions on Circuits and Systems. II . 1993,第3期

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2. Discrete-Time Neural Network for Fast Solving Large Linear Estimation Problems and its Application to Image Restoration [J] . Youshen Xia Neural Networks and Learning Systems, IEEE Transactions on . 2012,第5期

机译：快速求解大型线性估计问题的离散神经网络及其在图像复原中的应用
3. Robust Stability of Networked Linear Control Systems With Asynchronous Continuous- and Discrete-Time Event-Triggering Schemes [J] . Xiao Feng, Shi Yang, Chen Tongwen IEEE Transactions on Automatic Control . 2021,第2期

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4. Unified continuous- and discrete-time uplink power control problem formulation for SIR-based wireless networks [C] . Wu-Chung Su, Bo-Hwan Jung, Sheng-Yueh Chang, Sarnoff Symposium, 2009. SARNOFF '09 . 2009

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5. Image restoration and edge detection using neural networks. [D] . Paik, Joon Ki. 1990

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6. A 181 GOPS AKAZE Accelerator Employing Discrete-Time Cellular Neural Networks for Real-Time Feature Extraction [O] . Guangli Jiang, Leibo Liu, Wenping Zhu, 2015

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7. Genetic Algorithms Based Artificial Neural Networks for Blur Identification and Restoration of Degraded Images [O] . I.M. Qureshi ., T.a. Cheema ., A. Naveed ., 2002

机译：基于遗传算法的模糊识别和降解图像的恢复的基于人工神经网络

Alternative continuous- and discrete-time neural networks for image restoration

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