Vito Vitrih
University of Primorska
52 Papers
163 Citations
Vito Vitrih is an academic researcher from University of Primorska. The author has contributed to research in topics: Interpolation & Spline (mathematics). The author has an hindex of 11, co-authored 44 publications. Previous affiliations of Vito Vitrih include Mechanics' Institute & University of Ljubljana.
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Papers
On interpolation by Planar cubic G^2 pythagorean-hodograph spline curves
TL;DR: It is shown that such an interpolant exists under some natural assumptions on the data that is based upon the solution of a tridiagonal system of nonlinear equations.
Space of C 2 -smooth geometrically continuous isogeometric functions on two-patch geometries
TL;DR: The investigation of the dimension of the spaces of biquintic and bisixtic C 2 -smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains indicates optimal approximation order.
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Space of C2-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments
TL;DR: An algorithm for the construction of a basis is presented, and the resulting globally C 2 -smooth functions are used for numerical experiments, such as performing L 2 approximation and solving triharmonic equation, on bilinear multi-patch domains.
25
C1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
Bohumír Bastl,Michal Bizzarri,Marjeta Krajnc,Miroslav Lávička,Kristýna Slabá,Zbynk Šír,Vito Vitrih,Emil agar +7 more
TL;DR: The C^1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described.
23
Closed form formula for the number of restricted compositions
TL;DR: In this paper, compositions of a natural number are studied, and the number of restricted compositions is given in a closed form, and some applications are presented, where the restricted compositions are applied to a variety of problems.