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Avtometriya

2011 year, number 6

Generalized Catalan Numbers in Problems of Processing of Random Discrete Images

A. L. Reznik, V. M. Efimov, A. A. Solov'ev, A. V. Torgov
Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences
reznik@iae.nsk.su, solowey@rambler.ru, torgov@iae.nsk.su
Keywords: Catalan numbers, path, discrete grid, bounding planes, mirror reflection
Pages: 11-15

Abstract

The notion of the Catalan numerical sequence is extended. Problems leading to generalized Catalan numbers are formulated and solved.