1 citations · 1 across the 4 of their papers we have counts for
4 papers
Construction of a spiral with given boundary conditions by inversion of the involute of a circle
Alexey Kurnosenko
To construct a curve with a monotonic curvature (spiral), and given tangents and curvatures at the ends, the author proposed the following method. From given boundary conditions, t…
Apollonius problem in terms of oriented circles
Alexey Kurnosenko
The solution of Apollonius' problem on constructing a circle (line), tangent to three given circles (lines), is presented in terms of oriented circles and inversive invariants. Tan…
On approximation of planar curves by circular arcs with length preservation
Alexey Kurnosenko
The method for approximation of planar curve by circular arcs with length preservation, proposed by I.Kh. Sabitov and A.V. Slovesnov, is analyzed. We extend the applicability of th…
Two-point G Hermite interpolation with spirals by inversion of conics: summary
Alexey Kurnosenko
The article completes the research of two-point G Hermite interpolation problem with spirals by inversion of conics. A simple algorithm is proposed to construct a family of 4th…