Accession Number:

ADP011983

Title:

Cubic Spline Interpolation on Nested Polygon Triangulations

Descriptive Note:

Conference paper

Corporate Author:

JUSTUS-LIEBIG-UNIV GIESSEN (GERMANY) MATHEMATICS INST

Personal Author(s):

• Davydov, Oleg
• Nuernberger, Guenther
• Zeilfelder, Frank

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

We develop an algorithm for constructing Lagrange and Hermite interpolation sets for spaces of cubic Csup 1-splines on general classes of triangulations built up of nested polygons whose vertices are connected by line segments. Additional assumptions on the triangulation are significantly reduced compared to the special class given in. Simultaneously, we have to determine the dimension of these spaces, which is not known in general. We also discuss the numerical aspects of the method.

Descriptors:

• *CUBIC SPLINE TECHNIQUE
• *TRIANGULATION
• GERMANY
• LAGRANGIAN FUNCTIONS
• SPLINES(GEOMETRY)
• POLYGONS

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE