20.500.12556/RUL-179935 Parametrizacija ravninskih domen z ukrivljenimi robovi magistrsko delo Parametrization of planar domains with curved boundaries V tem delu se bomo ukvarjali z iskanjem parametrizacije ukrivljenih ravninskih domen s predpisanimi robovi. Kot glavno orodje tega postopka si bomo ogledali Bézierjeve krivulje in ploskve, kjer bomo poleg osnovnih definicij navedli še nekaj zanimivih lastnosti le teh, ter si ogledali nekaj primerov. Kasneje se bomo posvetili parametrizacijam samim - ogledali si bomo nekaj načinov generiranja parametrizacije v zaključeni obliki bodisi preko izvajanja algoritma bodisi preko reševanja matrične enačbe, nato pa se bomo posvetili še iskanju parametrizacije preko postopka minimizacije določenih funkcionalov. In this work, we will be dealing with obtaining suitable parametrizations of curved planar domains with prescribed boundaries. As the main tool, we will take a closer look at Bézier curves and surfaces, where in addition to the basic definitions, we will also list some nice properties of them, as well as look at some examples. Later we will focus on the parametrizations themselves - we will look at some ways we can generate a parametrization in a closed form, either by using an algorithm, or by solving a matrix equation, and in the end we will investigate how the parametrization can be obtained through the process of minimization of certain functionals. Bézierjeve krivulje in ploskve parametrizacije domen Coonsove ploskve minimizacija funkcionalov Bézier curves and surfaces domain parametrizations Coons surfaces minimization of functionals true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2026-02-27 08:15:32 2026-02-27 08:15:35 2026-03-02 15:04:23 0000-00-00 00:00:00 2026 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.6 159448 269622531 21214.pdf 21214.pdf 1 FAE8C5E8F16BD050AC9521C107C912F7 c5d6ddb05a732f47a0959e5151be71524397cd91bc386afe75dfc802d3a0a3f7 c7809ee9-13ab-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=228875 Fakulteta za matematiko in fiziko 0 0 0