Constructing tight frames of multivariate functions

Say Song Goh, Tim N. T. Goodman, S. L. Lee

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    The paper presents a method of construction of tight frames for L-2(Omega), Omega subset of R-n. The construction is based on local orthogonal matrix extension of vectors associated with the transition matrices across consecutive resolution levels. Two explicit constructions are given, one for linear splines on triangular polygonal surfaces with arbitrary topology and the other for quadratic splines associated with Powell-Sabin elements on a six-direction mesh. (C) 2008 Elsevier Inc. All rights reserved.

    Original languageEnglish
    Pages (from-to)49-68
    Number of pages20
    JournalJournal of Approximation Theory
    Volume158
    Issue number1
    DOIs
    Publication statusPublished - 2009

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