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《Journal of North China University of Technology》 1996-01
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The Algebraic Structure of Gray Code and the Recursive Algorithms for Generating Fractals

Li Huashan(CAD Research Center, North China Univ. of Tech. , 100041, Beijing, China)  
An algebraic structure of Gray code is discussed by using matrix theory.The theorems show the relations between Gray code and naturel code, the closedness of Gray transformation under the group by power 2 and the global periodicity of the transformation. The proof of the theorems mentioned above is based on the following recursive procedure:The paper proposes a new class of generalized Kronecker product, where the product for two elements of matrix is defined by a * b = 2ma + b from which six kinds of the recursive algorithms are given. These algorithms are simple and efficient in generating fractals. The paper also investigates the relations beween the recursive algorithms and iterative function system.
【Fund】: 国家自然科学基金;;中国科学院CAD开放实验室资助
【CateGory Index】: TN911.2
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HU Guo -sheng,CHEN Yi -tian(Guangdong Provincial Institute of Technology Personal,Guangzhou 510640);Newton Generalized Construction of Double-side Iterated Series and Errors Estimation[J];Journal of Anhui Tv University;2002-01
2 FU Ting-liang~1,ZHU Zhi-chao~1,LI Chun-sheng~1,ZHANG Yang~2(1.Department of Computer,University of Science & Technology of China,Hefei 230027,China;2.Xilu Information Technology Co.Limitted,Beijing 100086,China);Fractal and a parametric design for fractal graphics in C~(++)[J];Journal of Anhui University(Natural Sciences);2005-06
3 Qin Yun (Anhui Institute of Mechanical and Electrical Engineering Wuhu 241000);A kind of Fractals Generated by Complex Interation Model Z←Z α+C[J];JOURNAL OF ANHUI INSTITUTE OF MECHANICAL AND ELECTRICAL ENGINEERING;1997-04
4 WANG Yu-zhu(School of Landscape Architecture,Beijing Forestry University,Beijing 100083);Application of Fractal Theory in Landscape Design[J];Journal of Anhui Agricultural Sciences;2012-11
5 Qi Dongxu; Li Huashan (CAD Center, North China Univ. of Tech., 100041, Beijing, China);On the Affine Transformation in Graph Generating and Image Processing[J];Journal of North China University of Technology;1995-03
6 Gu Mei(CAD Research Center, North China Univ. of Tech., 100041, Beijing, China);Research and Practice of Computer Aided Curved Surface Design[J];Journal of North China University of Technology;1996-01
7 Huang Xinyuan; Gu Mei; Ge Jiantao; An Kang;Qi Dongxu (CAD Research Center, North China Univ. of Tech., 100041, Beijing, China);Application and Research of the Technique of Computer Animation in Computer Aided Education[J];Journal of North China University of Technology;1996-03
8 Li Huashan; Hou Danmei; Ge Jiantao; Qi Dongxu(CAD Centre, North China Univ. of Tech., 100041, Beijing, China);On the Refined Algorithm for Generating Sequences of Set of Points and Fractals[J];JOURNAL OF NORTH CHINA UNIVERSITY OF TECHNOLOGY;1997-01
9 Feng Dayu (Zhongshan Univ. Sci. Computing and Computer Appl. 510275 Guangzhou, China);Contour Lines with Inner Boundary Constraints[J];JOURNAL OF NORTH CHINA UNIVERSITY OF TECHNOLOGY;1998-01
10 Ding Wei (CAD Laboratory, Institute of Computing Technology, Chinese Academy of Sciences, 100080 Beijing)Qi Dongxu(CAD Research Center, North China Univ. of Tech., 100041, Beijing);Recursive Definition for Two-Scale Relation of Spline Function[J];JOURNAL OF NORTH CHINA UNIVERSITY OF TECHNOLOGY;1998-03
China Proceedings of conference Full-text Database 8 Hits
1 Zhang Nan,Shi Dong-Hai,Yang Jun (National University of Defense Technology,Chang sha 410073);Compressed-Domain Image Indexing Techniques Based On Fractal Coding[A];[C];2005
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3 Yin Qiang (School of Information Science and Technology Southwest Jiaotong University;Chengdu 610031 Sichuan china);Semi-fragile Watermarking Mothod Based Upon Particleswarm Optimization Algorith[A];[C];2008
4 Maji,Wanggang (ShenyangUniversity,Shenyang 110044 China);Fractal Theory Based on the pseudo-attacks on encryption model[A];[C];2009
5 He Bo Zong Xianzheng Wu Yujiang School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054;MOM Analysis of Sierpinski Fractal Antennas[A];[C];2009
6 HU Guo-xiong1 HUANG Li2 1 Software College of Jiangxi Normal University, Nanchang, 330000, China 2 Higher Vocational TechnicalCollege of Jiangxi Normal University, Nanchang, 330000, China;Methods of Rendering the Realistic Graphics of Natural Objects Based on L-System Model[A];[C];2007
7 Mo Canlin Tan Jianrong (State Key Lab Of CAD&CG Zhejiang University Hangzhou 310027);The Control of Random IFS Based on Adaptive Neural Network[A];[C];2002
8 Maji;Wanggang;Shenyang University;;Fractal Theory Based on the pseudo-attacks on encryption model[A];[C];2009
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 YU Zhu-qing 1, PAN Quan-sheng 2 (1.Dept of Mech Engin,Jiangsu Institute of Petrochemical Technology,Changzhou 213016,China; 2.Development Dept, Changzhou Second Textile Machinery Plant,Changzhou 213000,China);Design of a programmable count circuit for photoelectric encoder[J];Journal of Transducer Technology;2002-10
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8 HUANG Yi- Ping1 WEI Jun- hui2 (1.College of Electrical Engineering,University of Shanghai for Science and Technology,Shanghai,200031, 2.Shanghai Johnson& Johnson Pharmaceuticals,Ltd.,Shanghai,200245);Electronic Rotary Cam Switch and Application in Automatic Production[J];Journal of Huaibei Industry Teachers College (Natural Sciences Edition);2001-01
9 XIE Wei-cai~1,HUANG Shou-dao~2,SHI An-le~1 (1.Dept.of Elect.and Information Eng.,Hunan Institute of Engineering,Xiangtan 411101,China; 2.College of Elect.and Information Eng.,Hunan University,Changsha 410082, China);Development Trend of Switched Reluctance Drive[J];Journal of Hunan Institute of Engineering;2004-04
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