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On　a　Class　of　Fractal　Interpolation　functions

Journal of Mathematical Research with Applications 1997年第2期 46-47页

作者： Qian Xiaoyuan (Inst. of Math. Scis., Dalian University of Technology, 116024)

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ＯｎａＣｌａｓｏｆＦｒａｃｔａｌＩｎｔｅｒｐｏｌａｔｉｏｎＦｕｎｃｔｉｏｎｓＱｉａｎＸｉａｏｙｕａｎ（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉｓ．，ＤａｌｉａｎＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｙ，１１６０２４）Ｋｅｙｗｏｒｄｓｉｔｅｒａｔｅｄｆｕｎ...

关键词： iterated function systems fractal interpolation functions moments.

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Cantor Type Fixed Sets of iterated Multifunction systems Corresponding to Self-Similar Networks

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Applied Mathematics 2016年第4期7卷 365-374页

作者： Levente Simon Anna Soós Faculty of Mathematics and Computer Science Babes-Bolyai University Cluj-Napoca Romania Faculty of Informatics E&#246 tvö s Loránd University Budapest Hungary

We propose a new approach to the investigation of deterministic self-similar networks by using contractive iterated multifunction systems (briefly IMSs). Our paper focuses on the generalized version of two graph models introduced by Barabási, Ravasz and Vicsek ([1] [2]). We generalize the graph models using stars and cliques: both algorithm construct graph sequences such that the next iteration is always based on n replicas of the current iteration, where n is the size of the initial graph structure, being a star or a clique. We analyze these self-similar graph sequences using IMSs in function of the size of the initial star and clique, respectively. Our research uses the Cantor set for the description of the fixed set of these IMSs, which we interpret as the limit object of the analyzed self-similar networks.

关键词： Cantor Set Fixed Set iterated function systems iterated Multifunction systems Self-Similar Graphs

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Static Image Compression Based on Fractal Theory

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Advances in Manufacturing 1998年第3期 82-85页

作者： Lin Yixia Zhu Quanfan Liu Jun ((School of Automation)

In this paper, image compression and decompression are realized on a personal computer based on fractal theory. The algorithm is effectiveas as the reconstructed image is similar to the original. In the algorithm, the formulas for contrast scaling and luminance shift are simplified,and the Hausdorff distance is replaced by the Euclidean distance. Thus, the calculation load is reduced. The formula for compression ratio is presented for an ideal situation, from which one can analyze how the different factors influence image compression ratio.

关键词： fractal iterated function systems image compression

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Motion Compensation Based on IFS

Motion Compensation Based on IFS

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1996 3rd International Conference on Signal Processing(ICSP’96)

作者： Guojun Lu Gippsland School of Computing and Information Technology

ISBN: (纸本)0780329120

iterated function systems(IFS) represent or compress an image by exploiting the pixel relationships among pixel values within the *** relationships include pixel translation,rotation and brightness change. We present an IFS based video compression technique which compensates pixel "motion" between *** advantage of this technique is that it compensates not only pixel translation as in traditional motion compensation techniques but also pixel rotation and brightness *** addition,the pixel block size used for motion compensation is adaptive to picture contents.

关键词： motion compensation iterative methods image representation video coding data compression brightness adaptive signal processing image sequences motion compensation iterated function systems pixel relationships pixel values pixel translation image representation brightness video compression technique pixel rotation pixel block size PIFS encoding decoding

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