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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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