Temat: radial symmetry - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Least squares estimator consistency: a geometric approach
Autorzy:: Mexia, João
da Silva, João
Powiązania:: https://bibliotekanauki.pl/articles/729688.pdf
Data publikacji:: 2006
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: linear models
least squares estimator
consistency
radial symmetry
generalized polar coordinates
Opis:: Consistency of LSE estimator in linear models is studied assuming that the error vector has radial symmetry. Generalized polar coordinates and algebraic assumptions on the design matrix are considered in the results that are established.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2006, 26, 1; 19-45
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A novel method for invariant image reconstruction
Autorzy:: Pawlak, Mirosław
Panesar, Gurmukh Singh
Korytkowski, Marcin
Powiązania:: https://bibliotekanauki.pl/articles/2031146.pdf
Data publikacji:: 2021
Wydawca:: Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:: object representation
invariant features
symmetry
radial orthogonal moments
continuous symmetry
ridge regression
Opis:: In this paper we propose a novel method for invariant image reconstruction with the properly selected degree of symmetry. We make use of Zernike radial moments to represent an image due to their invariance properties to isometry transformations and the ability to uniquely represent the salient features of the image. The regularized ridge regression estimation strategy under symmetry constraints for estimating Zernike moments is proposed. This extended regularization problem allows us to enforces the bilateral symmetry in the reconstructed object. This is achieved by the proper choice of two regularization parameters controlling the level of reconstruction accuracy and the acceptable degree of symmetry. As a byproduct of our studies we propose an algorithm for estimating an angle of the symmetry axis which in turn is used to determine the possible asymmetry present in the image. The proposed image recovery under the symmetry constraints model is tested in a number of experiments involving image reconstruction and symmetry estimation.
Źródło:: Journal of Artificial Intelligence and Soft Computing Research; 2021, 11, 1; 69-80
2083-2567
2449-6499
Pojawia się w:: Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:: Biblioteka Nauki

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