A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS
2008 ◽
Vol 06
(06)
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pp. 883-894
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In this paper, an algorithm for constructing a class of orthogonal two-direction refinable functions and the corresponding orthogonal two-direction wavelets is obtained. In addition, the relation of both two-direction refinable functions and multiwavelets is discussed. We discover that Chui–Lian's orthogonal symmetric/antisymmetric multiscaling functions and the corresponding multiwavelets can be recovered by using an orthogonal two-direction refinable function and the corresponding two-direction wavelets, respectively. Finally, some construction examples are given.
2005 ◽
Vol 03
(01)
◽
pp. 67-77
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2008 ◽
Vol 06
(02)
◽
pp. 183-208
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2000 ◽
Vol 6
(2)
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pp. 153-170
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2003 ◽
Vol 01
(03)
◽
pp. 243-264
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Keyword(s):
2013 ◽
Vol 34
(1)
◽
pp. 142-147
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