15 citations · 60 across the 17 of their papers we have counts for
17 papers
A Quadratic Spline Approximation of the Sphere over Uniform Polyhedra
Ema Češek, Aleš Vavpetič
In this paper, we study geometrically continuous quadratic splines over triangulations. While a rich variety of quadratic splines is available over planar domains, and such s…
Curvature-Based Optimal Polynomial Geometric Interpolation of Circular Arcs
Ema Češek, Aleš Vavpetič
The problem of the optimal approximation of circular arcs by parametric polynomial curves is considered. The optimality relates to the curvature error. Parametric polynomial curves…
Optimal one-sided approximants of circular arc
Ada Šadl Praprotnik, Aleš Vavpetič, Emil Žagar
The optimal one-sided parametric polynomial approximants of a circular arc are considered. More precisely, the approximant must be entirely in or out of the underlying circle of an…
Mod Buchstaber invariant
Djordje Baralic, Ales Vavpetic, Alwksandar Vucic
We investigate the mod Buchstaber invariant of the skeleta of simplices, for a prime number , and compare them for different values of . For , the invariant is the r…
Optimal approximation of spherical squares by tensor product quadratic Bézier patches
Aleš Vavpetič, Emil Žagar
In [1], the author considered the problem of the optimal approximation of symmetric surfaces by biquadratic Bézier patches. Unfortunately, the results therein are incorrect, which…
Universal complexes in toric topology
Djordje Baralić, Aleš Vavpetič, Aleksandar Vučić
We study combinatorial and topological properties of the universal complexes and whose simplices are certain unimodular subsets of $\mathbb{…
Geometric approximation of the sphere by triangular polynomial spline patches
Aleš Vavpetič, Emil Žagar
A sphere is a fundamental geometric object widely used in (computer aided) geometric design. It possesses rational parameterizations but no parametric polynomial parameterization e…
On optimal polynomial geometric interpolation of circular arcs according to the Hausdorff distance
Aleš Vavpetič, Emil Žagar
The problem of the optimal approximation of circular arcs by parametric polynomial curves is considered. The optimality relates to the Hausdorff distance and have not been studied…
A general framework for the optimal approximation of circular arcs by parametric polynomial curves
Aleš Vavpetič, Emil Žagar
We propose a general framework for geometric approximation of circular arcs by parametric polynomial curves. The approach is based on constrained uniform approximation of an error…
Torsion table for the Lie algebra
Leon Lampret, Aleš Vavpetič
We study the Lie ring of all strictly upper-triangular matrices with entries in . Its complete homology for is computed.…
Hochschild (Co)Homology of Exterior Algebras using AMT
Leon Lampret, Aleš Vavpetič
In 'Hochschild (co)homology of exterior algebras' (Han, Xu, 2007), the authors computed the additive and multiplicative structure of , where is the -th e…
Asymptotic dimension, Property A, and Lipschitz maps
M. Cencelj, J. Dydak, A. Vavpetic
It is well-known that a paracompact space X is of covering dimension n if and only if any map f from X to a simplicial complex K can be pushed into its n-skeleton. We use the same…
A combinatorial approach to coarse geometry
M. Cencelj, J. Dydak, A. Vavpeti\v\{c} +1
Using ideas from shape theory we embed the coarse category of metric spaces into the category of direct sequences of simplicial complexes with bonding maps being simplicial. Two di…
Rigidity of the Minimal Grope Group
Matija Cencelj, Katsuya Eda, Ales Vavpetic
We give a systematic definition of the fundamental groups of gropes, which we call grope groups. We show that there exists a nontrivial homomorphism from the minimal grope group M…
Compact maps and quasi-finite complexes
M. Cencelj, J. Dydak, J. Smrekar +2
The simplest condition characterizing quasi-finite CW complexes is the implication for all paracompact spaces . Here are the main results of the pape…
Symplectic groups are N-determined 2-compact groups
A. Vavpetic, A. Viruel
We show that for n>=3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to det…
On the mod p cohomology of BPU(p)
Ales Vavpetic, Antonio Viruel
We study the mod p cohomology of the classifying space of the projective unitary group PU(p). We first proof that old conjectures due to J.F. Adams, and Kono and Yagita about the s…