1. Spremembe temperatur in njihov vpliv na rast na izbranem območju severovzhodne Slovenije : zaključno deloAljaž Šetor, 2023, diplomsko delo Ključne besede: podnebne spremembe, segrevanje ozračja, temperaturni prag, vegetacijska doba, linearna interpolacija, agrometeorologija, klimatogeografija, severovzhodna Slovenija, geografija, zaključna dela
Objavljeno v RUP: 20.11.2023; Ogledov: 808; Prenosov: 30
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4. On geometric Lagrange interpolation by quadratic parametric patchesGašper Jaklič, Jernej Kozak, Marjetka Knez, Vito Vitrih, Emil Žagar, 2008, izvirni znanstveni članek Opis: In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly interpolated by a cubic patch. At least asymptotically, the existence of a quadratic geometric interpolant is confirmed for data taken on a parametric surface with locally nonzero Gaussian curvature and interpolation points based upon a three-pencil lattice. Also, the asymptotic approximation order 4 is established.
Ključne besede: numerična analiza, interpolacija, aproksimacija, parametrična ploskev, numerical analysis, interpolation, approximation, parametric surface
Objavljeno v RUP: 03.04.2017; Ogledov: 2255; Prenosov: 138
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5. Lagrange geometric interpolation by rational spatial cubic Bézier curvesGašper Jaklič, Jernej Kozak, Vito Vitrih, Emil Žagar, 2012, izvirni znanstveni članek Opis: V članku obravnavamo Lagrangeovo geometrijsko interpolacijo s prostorskimi racionalnimi kubičnimi Bézierovimi krivuljami. Pokažemo, da pod določenimi naravnimi omejitvami obstaja enolična rešitev problema. še več, rešitev je podana v preprosti zaključeni obliki in je zato zanimiva za praktične aplikacije. Asimptotična analiza potrdi pričakovani red aproksimacije, namreč 6. Numerični primeri nakažejo možnost uporabe te metode pri obetavni geometrijski nelinearni subdivizijski shemi.
Ključne besede: numerična analiza, geometrijska Lagrageova interpolacija, racionalna Bézierova krivulja, prostorska krivulja, asimptotična analiza, subdivizija, numerical analysis, geometric Lagrange interpolation, rational Bézier curve, spatial curve, asymptotic analysis, subdivision
Objavljeno v RUP: 03.04.2017; Ogledov: 2423; Prenosov: 86
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6. Pythagorean-hodograph cycloidal curvesJernej Kozak, Marjetka Knez, Mladen Rogina, Vito Vitrih, 2015, izvirni znanstveni članek Opis: In the paper, Pythagorean-hodograph cycloidal curves as an extension of PH cubics are introduced. Their properties are examined and a constructive geometric characterization is established. Further, PHC curves are applied in the Hermite interpolation, with closed form solutions been determined. The asymptotic approximation order analysis carried out indicates clearly which interpolatory curve solution should be selected in practice. This makes the curves introduced here a useful practical tool, in particular in algorithms that guide CNC machines.
Ključne besede: pitagorejski hodograf, C-krivulje, trigonometrične funkcije, karakterizacija, Hermiteova interpolacija, asimptotični red aproksimacije, Pythagorean-hodograph, C-curves, trigonometric functions, characterization, Hermite interpolation, asymptotic approximation order
Objavljeno v RUP: 08.08.2016; Ogledov: 2704; Prenosov: 198
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9. Lattices on tetrahedral partitionsVito Vitrih, 2008, objavljeni znanstveni prispevek na konferenci Opis: In this paper, four-pencil lattices on tetrahedral partitions are studied. Theexplicit representation of a lattice, based upon barycentric coordinates, enables us to extend the lattice from a single tetrahedron to a tetrahedral partition. It is shown that the number of degrees of freedom is equal to the number of vertices of the tetrahedral partition. The proof is based on a lattice split approach.
Ključne besede: mreža, tetraeder, interpolacija
Objavljeno v RUP: 15.10.2013; Ogledov: 3303; Prenosov: 134
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