Recurrence Relations for Multivariate B-Splines.

Abstract

We prove recurrence relations for a general class of multivariate B-splines, obtained as 'projections' of convex polyhedra. Our results are simple consequences of Stokes' theorem and include, as special cases, the recurrence relations for the standard multivariate simplicial B-spline. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA100558

Entities

People

  • Carl R. de Boor
  • Klaus Hoellig

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Bodies
  • Continents
  • Convex Bodies
  • Convex Sets
  • Geographic Regions
  • Identities
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North America
  • North Carolina
  • Polynomials
  • Theorems
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.