5 citations · 10 across the 14 of their papers we have counts for
17 papers
Directional curvature and medial axis
Adam Białożyt, Dominik Bysiewicz, Maciej P. Denkowski
The medial axis of a closed set is the set of points from the ambient space that admit more than one closest point in . We study the problem of rea…
Universality theorem for LNE Hölder triangles
Lev Birbrair, Maciej Denkowski, Davi Lopes Medeiros +1
We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded Hölder triangles in . In contrast to the case of there are infinitely ma…
Squared Distance Function on the Configuration Space of a planar Spider with Applications to Hooke Energy and Voronoi Distance
Maciej Denkowski, Gaiane Panina, Dirk Siersma
Spider mechanisms are the simplest examples of arachnoid mechanisms, they are one step more complicated than polygonal linkages. Their configuration spaces have been studied intens…
On the Nullstellensatz for c-holomorphic functions with algebraic graphs
Adam Białożyt, Maciej P. Denkowski, Piotr Tworzewski
C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry.…
UPC condition with parameter for subanalytic sets
Anna Denkowska, Maciej P. Denkowski
In 1986 Pawłucki and Pleśniak introduced the notion of {\sl uniformly polynomially cuspidal} (UPC) sets and proved that every relatively compact and fat subanalytic subset of ${\Rz…
Linear programming on non-compact polytopes and the Kuratowski convergence with application in economics
Anna Denkowska, Maciej Denkowski, Marta Kornafel
The aims of this article are two-fold. First, we give a geometric characterization of the optimal basic solutions of the general linear programming problem (no compactness assumpti…