We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Chordal cubic spline interpolation is fourth-order accurate.
- Authors
Floater, Michael S.
- Abstract
It is well known that complete cubic spline interpolation of functions with four continuous derivatives is fourth-order accurate. In this paper we show that this kind of interpolation, when used to construct parametric spline curves through sequences of points in any space dimension, is again fourth-order accurate if the parameter intervals are chosen by chord length. We also show how such chordal spline interpolants can be used to approximate the arc-length derivatives of a curve and its length.
- Subjects
NUMERICAL analysis; INTERPOLATION; SPLINE theory; APPROXIMATION theory; MATHEMATICAL analysis
- Publication
IMA Journal of Numerical Analysis, 2006, Vol 26, Issue 1, p25
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/dri022