ARITHMETIC
METHODS IN THE THEORY OF DISCRETE ORTHOGONAL TRANSORMS (DOT) AND CONVOLUTIONS
Main idea:
multi-dimensional data are embedded into finite-dimensional algebras over
algebraic number fields, with their arithmetic and topological properties
subsequently used to speed up (decrease volume of)calculation.
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Discrete orthogonal transfomrs with recurrent basis;
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Complex arithmetic;
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Special presentation of input data;
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DOT algorithm;
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FA of cycle convolution of two-dimensional DOT;
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Associative finite-dimensio- nal algebras;
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Non-Archimedean normalized fields;
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Cyclic fields;
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Recurrent number system.
Publications:
1. 1. Pattern Recognition and Image Analysis, 1993, N 4, pp.455-458.
2. Problems of data transmission, 1995, N 3, pp. 38-46.
3. Pattern Recognition and Image Analysis, 1995, N 2, pp. 238-245.
4. Proc. CAIP’95, Springer, 1995, pp. 655-660.
5. Image Processing and Communications, 1996, v. 2, N 1, pp. 13-20.
6. V.M. Chernov. Reports of the Academy of Sciences.1997, V.317, pp. 317-319.
1. 1. Pattern Recognition and Image Analysis, 1993, N 4, pp.455-458.
2. Problems of data transmission, 1995, N 3, pp. 38-46.
3. Pattern Recognition and Image Analysis, 1995, N 2, pp. 238-245.
4. Proc. CAIP’95, Springer, 1995, pp. 655-660.
5. Image Processing and Communications, 1996, v. 2, N 1, pp. 13-20.
6. V.M. Chernov. Reports of the Academy of Sciences.1997, V.317, pp. 317-319.