共查询到19条相似文献,搜索用时 140 毫秒
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迭函数系统(IFS)吸引子与几何曲线:几何曲线的IFS—方程 总被引:1,自引:1,他引:0
迭函数系统是分形研究的重要方法之一。我们的研究证明,IFS也是绘制某些特殊几何图形的有效方法。本文则进一步指出,迭函数系统的吸引子是非常广泛的几何图形,可以是各种具有自相似特征的分形图案,奇怪吸引子,也可以是经典几何曲线。例如,圆和各种摆线。 相似文献
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迭系统(IFS)与特殊几何图形的绘制 总被引:1,自引:1,他引:0
迭函数系统是分形研究的重要方法之一,巧妙地选择所需的交换,可以创作出各类美妙和分形图,特别地,用以模拟自然界物体微妙微肖,我们的研究证明,迭函数思想也是绘制某些特殊几何图形的有效方法,这种几何结构还具有一定的美学意义。 相似文献
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迭函数系统是分形研究的重要方法之一。巧妙地选择所需的变换,可以创作出各类美妙的分形图。特别地,用以模拟自然界物体微妙微肖.我们的研究证明,造函数思想也是绘制某些特殊几何图形的有效方法.这种几何结构还具有一定的美学意义. 相似文献
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IFS分形吸引子控制技术综述 总被引:1,自引:0,他引:1
迭代函数系统(IFS)是分形吸引子生成的典型方法,近几年来其研究取得了较大的进展,但吸引子的控制技术还很不成熟.概述了国内外的最新研究结果,分析了参数控制、仿射变换控制、概率分布控制和图形交互操作控制等方法,比较了各种控制方法的优缺点.最后指出IFS分形控制技术目前存在的问题和进一步的发展方向. 相似文献
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由一般的分形插值函数出发,介绍了一类可微的分形插值函数,探讨了它的产生机理以及生成它的迭代函数系所需要满足的充要条件。在此基础上给出分形样条函数的定义。并以三次分形样条函数为例作了研究。分形样条函数插值问题的研究将为计算机图形学和景物仿真从理论上提供新的方法,是对传统样条理论的补充和扩展,具有较好的实际应用价值。 相似文献
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阐述了基于IFS的Sierpinski三角形分形图形的生成原理,并对其生成技术进行推广。包括两个方面的推广,第一,生成元形状可以为点、线段、三角形、四边形(正方形)、圆,得到的吸引子相同,由此得到吸引子与生成元形状无关的结论。第二,对Sierpinski三角形的IFS进行适当的调节,可以得到新的IFS,并生成新的吸引子,这为从已知的IFS得到新的IFS提供了参考方法。 相似文献
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图像经分形编码后产生IFS分形码,它可被用来进行图像检索操作。针对图像检索的特点,将分形码中的位置参数替换为相对距离与方向系数。定义了分形码间的距离以及图像间的分形码距离,并取出分形码距离最小的前门幅图像作为检索结果,由此提出了基于IFS分形码的快速图像检索算法。从时间复杂性上分析,利用本文算法所需的检索时间与值域块的个数有关。实验结果表明,相对缩放与旋转变化,算法对位移与亮度变化具有较强的稳定性,其分形码距离的均值仅为14.07和20.05;并可检索到具有一定相似性的图像,且类间与类内分形码距离约相差8,类内距离远小于类间距离。 相似文献
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Rajkumar Soundrapandiyan Marimuthu Karuppiah Saru Kumari Sanjay Kumar Tyagi Fan Wu Ki‐Hyun Jung 《International journal of imaging systems and technology》2017,27(2):118-132
Image fusion aims to integrate complementary information from multiple modalities into a single image with none distortion and loss of data. Image fusion is important in medical imaging, specifically for the purpose of detecting the tumor and identification of diseases. In this article, completely unique discrete wavelet transform (DWT) and intuitionistic fuzzy sets (IFSs) based fusion method (DWT‐IFS) is proposed. For fusion, initially, all source images are fused using DWT with the average, maximum, and entropy fusion rules. Besides, on the fused image IFS is applied. In the IFS process images are converted into intuitionistic fuzzy images (IFIs) by selecting an optimum value for the parameter in membership, non‐membership, and hesitation degree function using entropy. Then, the resulting IFIs are decomposed into the blocks, and the corresponding blocks of the images are fused using the intersection and union operations of IFS. The efficiency of the proposed DWT‐IFS fusion method is recognized by examining it with other existing methods, such as Averaging (AVG), Principal Component Analysis (PCA), Laplacian Pyramid Approach (LPA), Contrast Pyramid Approach (CPA), Discrete Wavelet Transform (DWT), Morphological Pyramid Approach (MPA), Redundancy Discrete Wavelet Transform (RDWT), Contourlet Transform (CONTRA), and Intuitionistic Fuzzy Set (IFS) using subjective and objective performance evaluation measures. The experimental results reveal that the proposed DWT‐IFS fusion method provides higher quality of information in terms of physical properties and contrast as compared to the existing methods. 相似文献
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阐述了迭代函数系(IteratedFunctionSystem,简称IFS)理论及随机迭代算法,通过理论解析给出了求IFS吸引子界的方法,介绍了IFS吸引子的Lyapunov指数和关联维数的算法。利用计算机构造了一系列IFS吸引子,计算了IFS吸引子的界、Lyapunov指数和关联维数,分析了IFS吸引子的动力学特征,讨论了当参数变化时IFS吸引子界的变化规律。 相似文献
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一种带自动参量的迭代函数系统 总被引:3,自引:0,他引:3
迭代函数系统(IFS)是生成分形吸引子的经典方法。基于IFS理论研究了系统的控制参数可以随计算程序的迭代过程不断自动变化的情况,在原有系统的迭代码中,通过嵌入不同形式的函数对原有系统进行改造,拓宽了系统的参数调控范围。实验表明,利用推广后的系统能构造大量造型新颖的吸引子图像。 相似文献
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Since winter 1994/1995 the Moon has been used in addition to the Sun as an IR source of radiation to measure atmospheric absorption spectra with a Bruker IR Fourier transform spectrometer IFS 120M located near Kiruna, Sweden. A two-point radiometric calibration method with blackbody references was applied to lunar spectra in the long-wave detector channel to improve the accuracy of evaluation of the column amounts of different atmospheric trace gases. A new liquid-nitrogen-cooled high-emissivity blackbody without an entrance window is described that is used for this calibration method. 相似文献
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Tamalika Chaira 《International journal of imaging systems and technology》2020,30(4):1162-1172
Mammogram image enhancement is very much necessary in diagnosing breast cancer or tumor at an early stage. Nonuniform illumination and low contrast images are commonly encountered in mammogram images. Conventional enhancement algorithms produce either some artifacts or cannot highlight minute details present in the images, particularly when dealing with mammogram images. In this article, we propose a new mammogram image enhancement scheme using Atanassov's intuitionistic fuzzy set (IFS) theory. IFS considers two uncertainties—membership and nonmembership degree apart from membership degree as in fuzzy set theory. As mammogram images are low contrast images and many of the image definitions are vague/unclear, so IFS theory may be suitable for better image enhancement. Initially, the image is transformed to an intuitionistic fuzzy image using a novel intuitionistic fuzzy generator. Hesitation degree is computed and using the hesitation degree, two membership levels are computed to form an interval type 2 fuzzy set. These two membership functions are then combined using Zadeh's fuzzy t-conorm to form a new membership function. Threshold of interval type 2 fuzzy image is obtained using restricted equivalence function. Using the threshold, modified fuzzy hyperbolization is carried out. Real data experiments demonstrate that the proposed algorithm has better performance on contrast and visual quality of the images both quantitatively and qualitatively when compared with different existing methods. 相似文献