Calculation the length of the B-spline curve

Authors

  • Ю. А. Раисов Podgorny Institute for mechanical engineering problems, Ukraine
  • И. В. Бычков Podgorny Institute for mechanical engineering problems, Ukraine
  • Н. И. Бычков Podgorny Institute for mechanical engineering problems, Ukraine

Abstract

This paper proposes a method for calculating the length of the B-spline curve. The method is based on the notion of B-spline curve in the form of a polynomial within each segment of the Bspline and using Simpson's formula (parabolas) for numerical integration. The technique is illustrated by an example

Author Biographies

Ю. А. Раисов, Podgorny Institute for mechanical engineering problems

Doctor of Technical Science

И. В. Бычков, Podgorny Institute for mechanical engineering problems

Doctor of Technical Science

Published

2016-04-26

Issue

Section

Applied mathematics