Method and algorithm of the piecewise-hyperplane clusterization using tools of pseudo-inverse matrices

Iurii V. Krak; Hrygorii I. Kudin; Olexander V. Barmak; Eduard O. Manziuk; Andrzej Smolarz; Orken Mamyrbaev

doi:10.1117/12.2537417

6 November 2019 Method and algorithm of the piecewise-hyperplane clusterization using tools of pseudo-inverse matrices

Iurii V. Krak, Hrygorii I. Kudin, Olexander V. Barmak, Eduard O. Manziuk, Andrzej Smolarz, Orken Mamyrbaev

Proceedings Volume 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019; 1117628 (2019) https://doi.org/10.1117/12.2537417
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 2019, Wilga, Poland

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.

Citation Download Citation

Iurii V. Krak, Hrygorii I. Kudin, Olexander V. Barmak, Eduard O. Manziuk, Andrzej Smolarz, and Orken Mamyrbaev "Method and algorithm of the piecewise-hyperplane clusterization using tools of pseudo-inverse matrices", Proc. SPIE 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 1117628 (6 November 2019); https://doi.org/10.1117/12.2537417

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