Splines as Linear Combinations of B-Splines. A Survey.

Abstract

This paper is intended to promote the point of view that B-splines are truly basic splines: B-splines express the essentially local, but not completely local, character of splines; certain facts about splines take on their most striking form when put into B-spline terms, and many theorems about splines are most easily proved with the aid of B-splines; the computational determination of a specific spline from some information about it is usually facilitated when B-splines are used in its construction.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA031944

Entities

People

  • Carl R. de Boor

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Coefficients
  • Computations
  • Computer Science
  • Computer-Aided Design
  • Distribution Functions
  • Identities
  • Linear Algebra
  • Mathematics
  • New York
  • North Carolina
  • Numbers
  • Polynomials
  • Sequences
  • Theorems
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design
  • Theoretical Analysis.