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https://open.uns.ac.rs/handle/123456789/30748| Title: | Anisotropic frameworks for dynamical systems and image processing Anizotropna radna okruženja za dinamičke sisteme i obradu slika |
Authors: | Stojanov Jelena | Keywords: | differentiable manifold, tangent bundle, metric structure, Finslerspaces, Lagrange spaces, generalized Lagrange spaces, semispray, KCC-theory, dynamicalsystem, Beltrami framework, surface evolution, image processing.;diferencijabilna mnogostrukost, tangentni omotac,metricka struktura, Finslerovi prostori, Lagranzovi prostori, uopsteni Lagranzovi prostori,semisprej, KCC-teorija, dinamicki sistem, Beltramijevo radno okruzenje, evolucija povrsi,digitalna obrada slika. | Issue Date: | 23-Apr-2015 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>The research topic of this PhD thesis is a comparative analysis of classical specic geometric frameworks and of their anisotropic extensions; the construction of three different types of Finsler frameworks, which are suitable for the analysis of the cancer cells population dynamical system; the development of the anisotropic Beltrami framework theory with the derivation of the evolution ow equations corresponding to different classes of anisotropic metrics, and tentative applications in image processing.</p> <p>Predmet istraživanja doktorske disertacije je uporedna analiza klasičnih i specifičnih geometrijskih radnih okruženja i njihovih anizotropnih proširenja; konstrukcija tri Finslerova radna okruženja različitog tipa koja su pogodna za analizu dinamičkog sistema populacije kanceroznih ćelija; razvoj teorije anizotropnog Beltramijevog radnog okruženja i formiranje jednačina evolutivnog toka za različite klase anizotropnih metrika, kao i mogućnost primene dobijenih teorijskih rezultata u digitalnoj obradi slika.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/30748 |
| Appears in Collections: | PMF Teze/Theses |
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