Constructing tight frames of multivariate functions

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

doi:10.1016/j.jat.2008.01.001

Constructing tight frames of multivariate functions

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

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	49-68
Number of pages	20
Journal	Journal of Approximation Theory
Volume	158
Issue number	1
DOIs	https://doi.org/10.1016/j.jat.2008.01.001
Publication status	Published - 2009

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title = "Constructing tight frames of multivariate functions",

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.",

author = "Goh, {Say Song} and Goodman, {Tim N. T.} and Lee, {S. L.}",

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AU - Goodman, Tim N. T.

AU - Lee, S. L.

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AB - 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.

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DO - 10.1016/j.jat.2008.01.001

M3 - Article

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VL - 158

SP - 49

EP - 68

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 1

ER -

Constructing tight frames of multivariate functions

Abstract

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