A Note on Convolving Refinable Function Vectors

Abstract

When convolving two refinable function vectors which give rise to convergent subdivision schemes, the convolved scheme is again convergent. Moreover, the conditions on the mask symbols which characterize the approximation order of the associated shift invariant spaces show that the order of the convolved space is, essentially, the sum of the order of the two spaces originating from the convolution factors.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011980

Entities

People

  • C. Conti
  • K. Jetter

Organizations

  • University of Florence

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Continuity
  • Convergence
  • Convolution
  • Convolution Integrals
  • Directional
  • Equations
  • Integrals
  • Scalar Functions
  • Sequences
  • Technical Information Centers
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computer Vision.
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.

Technology Areas

  • Space