Auxetic mechanisms based on corner-connected polygonal tiles have been used to design
deployable structures and are currently applied to programmable surfaces. However …

Representing smooth geometric shapes by polyhedral meshes can be quite difficult in
situations where the variation of edges and face normals is prominently visible. Especially …

В статье вводится понятие триангуляции Делоне для поверхностей и доказывается
аналог теоремы Г. Вороного о пустоте сферы. Кроме этого, получена теорема о …

We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi
empty sphere theorem. We also prove a convergence theorem for gradients of piecewise …

Рассмотрена задача построения расчетной сетки Вороного, в которой строится
объединение ячеек Вороного, аппроксимирующее область с кусочно-гладкой границей …

We consider problem of constructing Voronoi mesh where the union of Voronoi cells
approximates the computational domain with a piecewise smooth boundary. In the 2d case …

We consider the problem of constructing a purely Voronoi mesh where the union of uncut
Voronoi cells approximates the planar computational domain with piecewise-smooth …

We introduce discrete curvatures for planar curves based on the construction of sequences
of pairs of mutually dual polylines. For piecewise-regular curves consisting of a finite number …

Цели работы. а) Разработка, обоснование и численная реализация поливыпуклого
вариационного метода построения квазиизометрических параметризаций для …

The article concerns methods of a structural curvilinear grid constructing in areas of
geometrically complex shape and its evaluation from the quality point of view …