5 papers
On computable classes of equidistant sets: multivariate equidistant functions
Ábris Nagy, Márk Oláh, Myroslav Stoika +1
An equidistant set in the Euclidean space consists of points having equal distances to both members of a given pair of sets, called focal sets. Having no effective formulas to comp…
On locally symmetric polynomial metrics: Riemannian and Finslerian surfaces
Csaba Vincze, Márk Oláh, Ábris Nagy
In the paper we investigate locally symmetric polynomial metrics in special cases of Riemannian and Finslerian surfaces. The Riemannian case will be presented by a collection of ba…
On taxicab distance mean functions and their geometric applications: methods, implementations and examples
Csaba Vincze, Ábris Nagy
A distance mean function measures the average distance of points from the elements of a given set of points (focal set) in the space. The level sets of a distance mean function are…
Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays
Csaba Vincze, Ábris Nagy
In the paper we investigate the continuity properties of the mapping which sends any non-empty compact connected hv-convex planar set to the associated generalized conic fu…
A Robbins-Monro type algorithm for computing global minimizer of generalized conic functions
Matyas Barczy, Abris Nagy, Csaba Noszaly +1
We generalize the notion and some properties of the conic function introduced by Vincze and Nagy (2012). We provide a stochastic algorithm for computing the global minimizer of gen…