Sphere-Like, Torus-Like, and Other Spline Surfaces.

Abstract

The paper is the last of a series of technical reports on the application of bicubic splines to surface representation. In particular, the report considers the representation of sphere-like surfaces by bicubic splines. Torus-like and cylinder-like surfaces are also considered. In all cases, the representations obtained are in terms of cardinal splines on rectangular meshes. This is made possible by the choice of coordinates employed. Both the parametric and non-parametric representations of surfaces are considered. In addition, an approximate representation for multiply connected regions is examined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1973
Accession Number
AD0772616

Entities

People

  • J. Harold Ahlberg

Organizations

  • Brown University

Tags

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.