Accession Number:

ADP013749

Title:

How Many Holes Can Locally Linearly Independent Refinable Function Vectors Have?

Descriptive Note:

Conference paper

Corporate Author:

DUISBURG UNIV (GERMANY) INST OF MATHEMATICS

Personal Author(s):

Report Date:

2001-07-01

Pagination or Media Count:

16.0

Abstract:

In this paper we consider the support properties of locally linearly independent refinable function vectors Phi. We propose an algorithm for computing the global support of the components of Phi. Further, for Phi we investigate the supports, especially the possibility of holes of refinable function vectors if local linear independence is assumed. Finally, we give some necessary conditions for local linear independence in terms of rank conditions for special matrices given by the refinement mask. But we are not able to give a final answer to the question whether a locally linearly independent function vector can have more than one hole.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE