4 papers · 1 filter
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…
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…