G. M. Davis, V. Strela, and R. Turcajov a, Multiwavelet construction via the lifting scheme, in Wavelet Analysis and Multiresolution Methods, T.-X. He, ed., Lecture Notes in Pure and Appl. Math., Marcel Dekker, New York, 1999. Home/Search Document Details and Download
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Wavelet Transforms for Vector Fields Using Omnidirectionally.. - Fowler, Hua (2002) (Correct)
....from any set of scalar biorthogonal wavelets are thereby OB. IV. CONSTRUCTION OF OBSA MULTIWAVELET FILTERS To construct the primary and dual multiscaling functions for our OBSA VWT, we impose the following set of equations: the Specifically, we have investigated the multiwavelets appearing in [3, 5, 9 12], and only the multiwavelet based on the complex Daubechies filters of [5] does not suffer from poor performance due to the balancing issue. However, the cascade algorithm for this latter multiwavelet does not converge, so its performance is not competitive either. Submitted to IEEE Transactions ....
G. M. Davis, V. Strela, and R. Turcajov a, "Multiwavelet construction via the lifting scheme," in Wavelet Analysis and Multiresolution Methods, T.- X. He, Ed. Marcel Dekker, Inc., New York, 2000.
Omnidirectionally Balanced Multiwavelets for Vector Wavelet.. - Fowler, Hua (2002) (Correct)
....I is the N N identity matrix. We call the imposition of (14) omnidirectional balancing (OB) as it balances the multiwavelet for all orientations in a manner similar to the balancing proposed in [3] for a single direction. Specifically, we have investigated the multiwavelets appearing in [2, 3, 6 9], and only the multiwavelet based on the complex Daubechies filters of [3] does not suffer from poor performance due to the balancing issue. However, the cascade algorithm for this latter multiwavelet does not converge, so its performance is not competitive either. in Proceedings of the IEEE Data ....
G. M. Davis, V. Strela, and R. Turcajov a, "Multiwavelet Construction via the Lifting Scheme," in Wavelet Analysis and Multiresolution Methods, T.-X. He, Ed. Marcel Dekker, Inc., New York, 2000.
Raising Multiwavelet Approximation Order through Lifting - Keinert (1999) (2 citations) (Correct)
....[30] 31] 32] Our approach uses lifting. As a systematic strategy for creating new multi wavelet functions, this approach dates back to [5] and in the more general context of stable multiscale representations to [2] Under the name lifting , these techniques were later applied in [3] 7] [8], 21] 35] 36] Details can be found in x 3. Compared to TSTs, the lifting approach has the following advantages: 1. lifting produces a complete new multiwavelet pair; TST produces only a new multi scaling function; 2. lifting uses no matrix division or singular matrices; RAISING ....
....( k OE (0) x Gamma k) 1; m Gamma 1; OE (0) new (x) OE (0) Gamma P m Gamma1 =1 P k L ( Gammak OE ( x Gamma k) OE ( new (x) OE ( x) 1; m Gamma 1: 3. 6) Different but related multiwavelet lifting procedures are described in [8], 34] Lifting for multivariate wavelets is discussed in [3] and [21] RAISING MULTIWAVELET APPROXIMATION ORDER 7 4. Raising approximation order by lifting. In this section, we show how a single lifting step can be used to raise the approximation order of the dual multiscaling function to any ....
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G. M. Davis, V. Strela, and R. Turcajov' a, Multiwavelet construction via the lifting scheme, in Wavelet Analysis and Multiresolution Methods, T.-X. He, ed., Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 1999.
Raising Multiwavelet Approximation Order through Lifting - Keinert (2001) (2 citations) (Correct)
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G. M. Davis, V. Strela, and R. Turcajov a, Multiwavelet construction via the lifting scheme, in Wavelet Analysis and Multiresolution Methods, T.-X. He, ed., Lecture Notes in Pure and Appl. Math., Marcel Dekker, New York, 1999.
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