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分数维图形的显示与应用
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作者 邹荣金 《计算机工程》 CAS CSCD 北大核心 1995年第S1期137-140,167,共5页
介绍了分数维图形的理论基础及其显示算法,并应用到自然树木的三维显示中。指出了迭代函数系统不仅是复数域的一种非线性变换,而且可以是计算机语言所描述的一个过程,甚至可以是一个抽象的过程,只要对它的运动、变化规律作出合理的图形... 介绍了分数维图形的理论基础及其显示算法,并应用到自然树木的三维显示中。指出了迭代函数系统不仅是复数域的一种非线性变换,而且可以是计算机语言所描述的一个过程,甚至可以是一个抽象的过程,只要对它的运动、变化规律作出合理的图形学解释,就可以显示其分数维几何形态。同时,复域的迭代函数系统可以显示出千变万化的色彩与图形,研究其内在规律性,并生成所希望的数学艺术图形具有一定的应用和理论意义。 展开更多
关键词 分数维图形 非线性映射 吸引子 混饨 真实感三图形显示
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复平面内混沌及分数维图形研究
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作者 路向明 卢振荣 《西安交通大学学报》 EI CAS CSCD 北大核心 1996年第8期70-84,90,共16页
关键词 传递函数 浑沌 计算机图形 分数维图形 复平面
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利用Mathematica软件模拟L-系统生成分形图 被引量:2
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作者 薛全 纪玉波 《抚顺石油学院学报》 EI 2001年第1期64-67,共4页
简要介绍了L -系统的概念、文法规则以及L -系统生成图形的方法———“改写规则”和“龟形图法”。在阐述L -系统的原理和作图方法基础上 ,利用Mathematica数学软件提供的强大作图功能 ,简洁地生成了分形理论中一些非常典型的分形图 ,... 简要介绍了L -系统的概念、文法规则以及L -系统生成图形的方法———“改写规则”和“龟形图法”。在阐述L -系统的原理和作图方法基础上 ,利用Mathematica数学软件提供的强大作图功能 ,简洁地生成了分形理论中一些非常典型的分形图 ,实现了对低阶L -系统功能的模拟 ,得到的分形图与用C语言实现的L -系统生成的图形完全相同 ,但该方法简单实用 ,易于编程实现 ,对计算机的程序设计能力的要求大大降低。该方法可进一步扩展到生成更复杂的图形上。探讨了该方法在三维立体分形图生成方面的可行性 。 展开更多
关键词 L-系统 形式文法 分形几何 分数维图形 Mathematicas软件
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RESEARCH ON SOME THEORETICAL PROBLEMS OF MAP DATA HANDLING USING FRACTAL APPROACH
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作者 WANG Qiao 《Geo-Spatial Information Science》 2000年第1期34-38,共5页
Some theoretical problems of fractal geographical map data handling are dis- cussed and some new methods about fractal dimension introducing, developing, comparing and estimating are proposed in this paper.
关键词 fractals fractal dimension SELF-SIMILARITY scale interval
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Effect of Fiber Properties on Nonwovens' Pore Structures with Fractal Geometry Analysis
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作者 杨旭红 李栋高 《Journal of Donghua University(English Edition)》 EI CAS 2005年第4期103-108,共6页
Nonwovens' pore structures are very important to their mechanical and physical properties. And the pore structures are influenced by the fiber properties and fibers arrangement in web. In this paper, the fractal geom... Nonwovens' pore structures are very important to their mechanical and physical properties. And the pore structures are influenced by the fiber properties and fibers arrangement in web. In this paper, the fractal geometry, in combination with computer image anaysis, is used to express the irregularity of pore size distribution in nonwovens, and the effect of fiber properties on fractal dimension of pore size distribution is discussed by using simulated images which are composed of nonlinear staple fibers. The results show that the fiber properties, such as crimp, diameter, angular distribution, and especially the number of fibers prominently influence the pore structure. 展开更多
关键词 NONWOVENS fiber properties fractal dimension of pore size distribution simulated images.
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Texture image classification using multi fractal dimension 被引量:1
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作者 LIU Zhuo-fu and SANG En-fang School of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001 , China 《Journal of Marine Science and Application》 2003年第2期76-81,共6页
This paper presents a supervised classification method of sonar image, which takes advantages of both multi-fractal theory and wavelet analysis. In the process of feature extraction, image transformation and wavelet d... This paper presents a supervised classification method of sonar image, which takes advantages of both multi-fractal theory and wavelet analysis. In the process of feature extraction, image transformation and wavelet decomposition are combined and a feature set based on multi-fractal dimension is obtained. In the part of classifier construction, the Learning Vector Quantization (LVQ) network is adopted as a classifier. Experiments of sonar image classification were carried out with satisfactory results, which verify the effectiveness of this method. 展开更多
关键词 wavelet analysis multi-fractal dimension sonar image classification TEXTURE LVQ classifier
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A comprehensive fractal char combustion model
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作者 Yuting Liu Rong He 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第12期1750-1760,共11页
The char combustion mechanisms were analyzed and a comprehensive fractal char combustion model was developed to give a better understanding and better predictions of the char combustion characteristics. Most of the co... The char combustion mechanisms were analyzed and a comprehensive fractal char combustion model was developed to give a better understanding and better predictions of the char combustion characteristics. Most of the complex factors affecting the char combustion were included, such as the coupling effects between the pore diffusion and the chemical reactions, the evolution of the char pore structures and the variation of the apparent reaction order during combustion, the CO/CO_2 ratio in the combustion products and the correction for oxy-char combustion. Eleven different chars were then combusted in two drop tube furnaces with the conversions of the partly burned char samples measured by thermogravimetric analysis. The combustion processes of these chars were simulated with the predicted char conversions matching very well with the measured data which shows that this char combustion model has good accuracy. The apparent reaction order of the char combustion decreases, stabilizes and then increases during the combustion process. The combustion rates in the oxy-mode are generally slower than in the air-mode and the effect of the char-CO_2 gasification reaction becomes obvious only when the temperature is relatively high and the O_2 concentration is relatively low. 展开更多
关键词 Combustion Model Experimental validation Pore Fractals
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An image retrieval system based on fractal dimension 被引量:1
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作者 姚敏 易文晟 +1 位作者 沈斌 DAIHong-hua 《Journal of Zhejiang University Science》 CSCD 2003年第4期421-425,共5页
This paper presents a new kind of image retrieval system which obtains the feature vectors of images by estimating their fractal dimension; and at the same time establishes a tree structure image database. After prep... This paper presents a new kind of image retrieval system which obtains the feature vectors of images by estimating their fractal dimension; and at the same time establishes a tree structure image database. After preprocessing and feature extracting, a given image is matched with the standard images in the image database using a hierarchical method of image indexing. 展开更多
关键词 Fractal dimension Image partition Feature extraction Image retrieval
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Pest Detection Method Using Multi-Fractal Analysis 被引量:3
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作者 Yun-Ki KIM Jang-myung LEE 《Journal of Measurement Science and Instrumentation》 CAS 2011年第3期240-243,共4页
A novel method for pest detection is proposed based on the theory of multi-fractal spectrum to extract pests on plant leaves.Both local and global information of the image regularity were obtained by multi-fractal ana... A novel method for pest detection is proposed based on the theory of multi-fractal spectrum to extract pests on plant leaves.Both local and global information of the image regularity were obtained by multi-fractal analysis.By applying fractal dimension,the spots on leaf images can be extracted without loosing or introducing any information.The different parts of images are re-analysis by morphology operations to determine the candidate regions of pests.The performance of multi-fractal analysis of whitefly detection is investigated through greenhouse experiments.The experimental results show that the proposed method is robust to noise from light and is not sensitive to the complex environment. 展开更多
关键词 multi-fractal analysis image segmentation pest detection
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