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Title: Constructing tight frames of multivariate functions
Authors: Goh, S.S. 
Goodman, T.N.T.
Lee, S.L. 
Keywords: Powell-Sabin elements
Tight frames
Triangular polygonal surfaces
Issue Date: May-2009
Citation: Goh, S.S., Goodman, T.N.T., Lee, S.L. (2009-05). Constructing tight frames of multivariate functions. Journal of Approximation Theory 158 (1) : 49-68. ScholarBank@NUS Repository.
Abstract: The paper presents a method of construction of tight frames for L2 (Ω), Ω ⊂ Rn. 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. © 2008 Elsevier Inc. All rights reserved.
Source Title: Journal of Approximation Theory
ISSN: 00219045
DOI: 10.1016/j.jat.2008.01.001
Appears in Collections:Staff Publications

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