Accession Number:

ADP011994

Title:

On Curve Interpolation in Rd

Descriptive Note:

Conference paper

Corporate Author:

LJUBLJANA UNIV (YUGOSLAVIA)

Personal Author(s):

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

In this paper the interpolation by Gsup 2 continuous spline curves of degree n in IRsup d is studied. There are tau interior and two boundary data points interpolated on each segment of the spline curve. The general form of the spline curve, as well as the defining system of nonlinear equations are derived. The asymptotic existence of the solution, and the approximation order are studied for the polynomial case only. It is shown that the optimal approximation order is achieved, and asymptotic existence is established provided the relation tau n - 2 is satisfied. These conclusions hold independently of d. It is also pointed out that the underlying analysis could not be carried over to the case tau n - 1.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE