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Method and algorithm of the piecewise-hyperplane clusterization using tools of pseudo-inverse matrices
Author(s): Iurii V. Krak; Hrygorii I. Kudin; Olexander V. Barmak; Eduard O. Manziuk; Andrzej Smolarz; Orken Mamyrbaev
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Paper Abstract

Method and algorithm of multidimensional information scaling of the characteristics features based on the results of the theory of perturbation of pseudo-inverse and projective matrices and solutions of systems of linear algebraic equations is proposed. The algorithm of a piecewise-hyperplane clusterization with the verification of a given criterion for the effectiveness of the proposed method of the clusterization is developed. An example of using the method of scaling characteristic features for recognizing the fingerspelling alphabet of the sign language is given.

Paper Details

Date Published: 6 November 2019
PDF: 7 pages
Proc. SPIE 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 1117628 (6 November 2019); doi: 10.1117/12.2537417
Show Author Affiliations
Iurii V. Krak, Taras Shevchenko National Univ. of Kyiv (Ukraine)
V. M. Glushkov Institute of Cybernetics of the NASU (Ukraine)
Hrygorii I. Kudin, V. M. Glushkov Institute of Cybernetics of the NASU (Ukraine)
Olexander V. Barmak, National Univ. of Khmelnytsky (Ukraine)
Eduard O. Manziuk, National Univ. of Khmelnytsky (Ukraine)
Andrzej Smolarz, Lublin Univ. of Technology (Poland)
Orken Mamyrbaev, Institute of Information and Computational Technologies (Kazakhstan)


Published in SPIE Proceedings Vol. 11176:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019
Ryszard S. Romaniuk; Maciej Linczuk, Editor(s)

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