arXiv subjects

A. Kurnosenko

Publications and source records attributed to A. Kurnosenko.

2 recordsLinked to original sources

arXiv2013

Bounds for spiral and piecewise spiral splines

This note is the updated outline of the article "Interpolational properties of planar spiral curves", Fund. and Applied Math., 2001, Vol.7, N.2, 441-463, published in Russian. The main result establishes boundary regions for spiral and piecewise spiral splines, matching given data. The width of such region can serve as the measure of fairness of the point set, subjected to interpolation. Application to tolerance control of curvilinear profiles is discussed.

math.DG↗

arXiv2009

Applying inversion to construct rational spiral curves

A method is proposed to construct spiral curves by inversion of a spiral arc of parabola. The resulting curve is rational of 4-th order. Proper selection of the parabolic arc and parameters of inversion allows to match a wide range of boundary conditions, namely, tangents and curvatures at the endpoints, including those, assuming inflection.

math.DG↗