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13 December 2004 Osiris wavelets and Set wavelets
Guy Battle
J. Appl. Math. 2004(6): 495-528 (13 December 2004). DOI: 10.1155/S1110757X04404070


An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares. We refer to wavelets generated in this way as Set wavelets. We introduce a Set wavelet system whose homogeneous mode density is 2/5. The system is not orthonormal, but we derive a positive lower bound on the overlap matrix.


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Guy Battle. "Osiris wavelets and Set wavelets." J. Appl. Math. 2004 (6) 495 - 528, 13 December 2004.


Published: 13 December 2004
First available in Project Euclid: 13 December 2004

zbMATH: 1076.42022
MathSciNet: MR1996566
Digital Object Identifier: 10.1155/S1110757X04404070

Primary: ‎42C40 , 47N99
Secondary: 82B28

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 6 • 13 December 2004
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