On One Problem of Calculating a Two-Dimensional Convolution with an Exponential Kernel
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The paper presents an algorithm for calculating a two-dimensional discrete convolution with an exponential kernel by solving a boundary value problem for an equation with a second-order finite-difference operator. To solve the boundary value problem, a one-step iterative process converging with a rate of a geometric progression is developed.
Keywords:two-dimensional discrete convolution finite-difference operator boundary value problem
- 2.Methods for Digital Image Processing, Ed. by V. A. Soifer (Fizmatlit, Moscow, 2003) [in Russian].Google Scholar
- 5.A. K. Karlin, A. A. Korotkin, and N. A. Strelkov, Cellular neural network in the problem of filtering a two-dimensional signal," Model. Anal. Inf. Sist. 7 (2), 38–43 (2000).Google Scholar
- 6.A. A. Samarskii, The Theory of Difference Schemes (Nauka, Moscow, 1977; Marcel Dekker, New York, 2001).Google Scholar
- 7.A. A. Samarskii and E. S. Nikolaev, Numerical Methods for Grid Equations (Nauka, Moscow, 1978; Birkhäuser, Basel, 1989).Google Scholar