Cubic Spline Interpolation on Nested Polygon Triangulations

Cubic Spline Interpolation on Nested Polygon Triangulations

We develop an algorithm for constructing Lagrange and Hermite interpolation sets for spaces of cubic C(sup 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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Davydov, Oleg, Nuernberger, Guenther, Zeilfelder, Frank
Format: Report
Sprache:eng
Schlagworte:
COMPONENT REPORT
CUBIC SPLINE TECHNIQUE
FOREIGN REPORTS
GERMANY
LAGRANGIAN FUNCTIONS
Numerical Mathematics
POLYGONS
PROCEEDINGS
SPLINES(GEOMETRY)
Theoretical Mathematics
TRIANGULATION
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We develop an algorithm for constructing Lagrange and Hermite interpolation sets for spaces of cubic C(sup 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. Presented at Intl. Conference on Curves and Surfaces (4th), Held in St. Malo, France, 1-7 Jul 1999. Publ. in Proceedings, v2, Curve and Surface Fitting, p161-170. This article is from ADA399401 International Conference on Curves and Surfaces (4th), Saint-Malo, France, 1-7 July 1999. Proceedings, Volume 2. Curve and Surface Fitting.