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Reaction-Diffusion Systems in Pattern Formation and Pattern Recognition Processes

机译:模式形成和模式识别过程中的反应扩散系统

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This paper presents a quick review of reaction-diffusion systems that self-organize spatio-temporal patterns in chemical and biological systems. A pair of reaction-diffusion equations having activator and inhibitor variables is a typical model of equations describing their pattern formation processes. Some of the reaction-diffusion systems can realize several functions of image processing such as edge detection and segmentation required for pattern recognition processes. Thus, reaction-diffusion systems which have been studied as pattern formation processes are also interesting topics as pattern recognition processes. The authors have recently done the research of realizing functions of edge detection, segmentation and stereo disparity detection by utilizing reaction-diffusion equations with large inhibitory diffusion. This paper additionally presents a brief introduction of our recent research topic, in particular, an edge detection algorithm with a discretely spaced system of the FitzHugh-Nagumo reaction-diffusion equations. Experimental results obtained for artificial and real images show the comparison between a previous standard algorithm and the reaction-diffusion algorithm designed for edge detection.
机译:本文提出了一种反应扩散系统的快速综述,该系统能够自组织化学和生物系统中的时空模式。具有活化剂和抑制剂变量的一对反应扩散方程是描述其图案形成过程的方程的典型模型。一些反应扩散系统可以实现图像处理的多种功能,例如模式识别过程所需的边缘检测和分割。因此,已经被研究为图案形成过程的反应扩散系统作为图案识别过程也是有趣的话题。作者最近进行了利用具有大抑制扩散的反应扩散方程来实现边缘检测,分割和立体视差检测功能的研究。本文还简要介绍了我们最近的研究主题,特别是带有离散间隔FitzHugh-Nagumo反应扩散方程组的边缘检测算法。针对人工和真实图像获得的实验结果表明,先前的标准算法与为边缘检测设计的反应扩散算法之间存在比较。

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