Generalized Catalan numbers in problems of processing of random discrete images

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

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Bibliographic Details
Published inOptoelectronics, instrumentation, and data processing Vol. 47; no. 6; pp. 533 - 536
Main Authors Reznik, A. L., Efimov, V. M., Solov’ev, A. A., Torgov, A. V.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.12.2011
Subjects
Analysis and Synthesis of Signals and Images
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
bounding planes
path
discrete grid
Catalan numbers
mirror reflection
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Summary:The notion of the Catalan numerical sequence is extended. Problems leading to generalized Catalan numbers are formulated and solved.
ISSN:8756-6990
1934-7944
DOI:10.3103/S8756699011060227