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Title: Hybrid spline frames
Authors: Goh, S.S. 
Goodman, T.N.T.
Lee, S.L.
Keywords: Geometric splines
Hybrid splines
Tight frames
Uniform splines
Issue Date: Jul-2009
Citation: Goh, S.S., Goodman, T.N.T., Lee, S.L. (2009-07). Hybrid spline frames. Mathematics of Computation 78 (267) : 1537-1551. ScholarBank@NUS Repository.
Abstract: Using their unitary extension principle, Ron and Shen have constructed a normalized tight frame for L2(R{double-struck}) consisting of spline functions with uniform knots. This paper constructs a normalized tight frame for L2((0,∞)) comprising spline functions with knots on a hybrid of uniform and geometric mesh. The construction is motivated by applications in adaptive approximation using spline functions on a hybrid mesh that admits a natural dyadic multiresolution approximation of L2((0,∞)) based on dilation and translation. © 2009 American Mathematical Society.
Source Title: Mathematics of Computation
ISSN: 00255718
DOI: 10.1090/S0025-5718-09-02192-9
Appears in Collections:Staff Publications

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