Lupa

Iskanje po repozitoriju Pomoč

A- | A+ | Natisni
Iskalni niz: išči po
išči po
išči po
išči po
* po starem in bolonjskem študiju

Opcije:
  Ponastavi


1 - 6 / 6
Na začetekNa prejšnjo stran1Na naslednjo stranNa konec
1.
Construction of G[sup]3 rational motion of degree eight
Marjetka Krajnc, Vito Vitrih, Karla Ferjančič, 2015, izvirni znanstveni članek

Opis: The paper presents a construction of a rigid body motion with point trajectories being rational spline curves of degree eight joining together with ▫$G^3$▫ smoothness. The motion is determined through interpolation of positions and derivative data up to order three in the geometric sense. Nonlinearity in the spherical part of construction results in a single univariate quartic equation which yields solutions in a closed form. Sufficient conditions on the regions for the curvature data are derived, implying the existence of a real admissible solution. The algorithm how to choose appropriate data is proposed too. The theoretical results are substantiated with numerical examples.
Najdeno v: ključnih besedah
Povzetek najdenega: ...design, geometric interpolation, rational spline motion, geometric continuity...
Ključne besede: motion design, geometric interpolation, rational spline motion, geometric continuity
Objavljeno: 15.10.2015; Ogledov: 1009; Prenosov: 67
URL Polno besedilo (0,00 KB)

2.
Isogeometric analysis with geometrically continuous functions on two-patch geometries
Bert Jüttler, Vito Vitrih, Mario Kapl, Katharina Birner, 2015, izvirni znanstveni članek

Opis: We study the linear space of Cs-smooth isogeometric functions defined on a multi-patch domain % % R2. We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. More precisely, the Cs-smoothness of isogeometric functions is found to be equivalent to geometric smoothness of the same order (Gs-smoothness) of their graph surfaces. This motivates us to call them Cs-smooth geometrically continuous isogeometric functions. We present a general framework to construct a basis and explore potential applications in isogeometric analysis. The space of C1-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains is analyzed in more detail. Numerical experiments with bicubic and biquartic functions for performing L2 approximation and for solving Poisson%s equation and the biharmonic equation on two-patch geometries are presented and indicate optimal rates of convergence.
Najdeno v: ključnih besedah
Povzetek najdenega: ...closely related to the concept of geometric continuity of surfaces, which has originated in geometric...
Ključne besede: izogeometrična analiza, geometrijska zveznost, geometrijsko vzezne izogeometrične funkcije, biharmonična enačba, isogeometric analysis, geometric continuity, geometrically continuous isogeometric functions, biharmonic equation, multi-patch domain
Objavljeno: 15.10.2015; Ogledov: 1313; Prenosov: 112
URL Polno besedilo (0,00 KB)

3.
Hermite interpolation by rational G [sup] k motions of low degree
Bert Jüttler, Marjetka Krajnc, Gašper Jaklič, Emil Žagar, Vito Vitrih, 2013, izvirni znanstveni članek

Opis: Interpolation by rational spline motions is an important issue in robotics and related fields. In this paper a new approach to rational spline motion design is described by using techniques of geometric interpolation. This enables us to reduce the discrepancy in the number of degrees of freedom of the trajectory of the origin and of the rotational part of the motion. A general approach to geometric interpolation by rational spline motions is presented and two particularly important cases are analyzed, i.e., geometric continuous quartic rational motions and second order geometrically continuous rational spline motions of degree six. In both cases sufficient conditions on the given Hermite data are found which guarantee the uniqueness of the solution. If the given data do not fulfill the solvability conditions, a method to perturb them slightly is described. Numerical examples are presented which confirm the theoretical results and provide an evidence that the obtained motions have nice shapes.
Najdeno v: ključnih besedah
Povzetek najdenega: ...design, geometric interpolation, rational spline motion, geometric continuity...
Ključne besede: mathematics, numerical analysis, motion design, geometric interpolation, rational spline motion, geometric continuity
Objavljeno: 03.04.2017; Ogledov: 747; Prenosov: 7
URL Polno besedilo (0,00 KB)

4.
Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations
Mario Kapl, Vito Vitrih, 2018, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...isogeometric analysis, geometric continuity, second order continuity, two-patch domain, bilinear-like...
Ključne besede: isogeometric analysis, geometric continuity, second order continuity, two-patch domain, bilinear-like
Objavljeno: 15.01.2018; Ogledov: 642; Prenosov: 96
URL Polno besedilo (0,00 KB)

5.
Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis
Mario Kapl, Vito Vitrih, 2019, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...isogeometric analysis, triharmonic equation, geometric continuity, multi-patch domain...
Ključne besede: isogeometric analysis, triharmonic equation, geometric continuity, multi-patch domain
Objavljeno: 17.04.2019; Ogledov: 318; Prenosov: 102
URL Polno besedilo (0,00 KB)

6.
Isogeometric collocation on planar multi-patch domains
Mario Kapl, Vito Vitrih, 2020, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...isogeometric analysis, collocation, superconvergent points, second order continuity, multi-patch domain, Poisson's equation...
Ključne besede: isogeometric analysis, collocation, superconvergent points, second order continuity, multi-patch domain, Poisson's equation
Objavljeno: 11.02.2020; Ogledov: 52; Prenosov: 14
URL Polno besedilo (0,00 KB)

Iskanje izvedeno v 0 sek.
Na vrh
Logotipi partnerjev Univerza v Mariboru Univerza v Ljubljani Univerza na Primorskem Univerza v Novi Gorici