【摘要】 泛逻辑学与分形理论是研究非线性自然系统的新兴科学,它们在复杂系统与计算机图像处理中已有良好的应用。论文首先给出了分形图像的测度选取原则与分维计算方法,然后利用泛逻辑学的基本原理,首次在分形图像中引入“泛逻辑”的概念。文章分析并建立了分形图像的“非与或”运算模型,并实现了分形图像的泛逻辑运算仿真系统,得到了良好的运算结果。这给分形图像的研究提供了一种新的思路,同时也拓展了泛逻辑学的应用领域。更多还原

【Abstract】 Universal logic and fractal theory are new sciences for studying non-linear natural system.They have good applications on complex system and computer image processing.Firstly,this paper gives the principles of choosing mea-sures of fractal image and the methods of computing fractal dimension.Then it imports the conception of“universal log-ic”to fractal image filed at the first time by using the basic principles of universal logic.Authors analyze and establish the“NOT,AND,OR”operation models of fractal images,implement a simulator of the universal logic operations of fractal images,and get good results.This work provides a new thought-way for studying fractal images,and enlarges the applied fields of universal logic.更多还原