Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Koblik A. A., Chukanov S. N.

THE FORMATION OF INTERPOLATING SPLINES FOR THE MANIFOLDS REPRESENTED BY ONE-PARAMETER LIE GROUPS

A method of forming the interpolation spline for the points of a manifolds, which are elements of one-parameter Lie groups, is proposed in the paper. The method is based on de Casteljau algorithm for formation of cubic spline segments for Lie groups.

Keywords: interpolation spline, algorithm de Casteljau, Lie group, screw motion of rigid body.