Current Development in Theory and Applications of Wavelets
Volume 4, Issue 3, Pages 209 - 218
(December 2010)
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CONSTRUCTION OF ORTHOGONAL TWO-DIRECTION MULTISCALING FUNCTIONS AND TWO-DIRECTION MULTIWAVELETS
Xie Changzhen
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Abstract:
Orthogonal two-direction multiscaling functions and the corresponding two-direction multiwavelets can be constructed based on orthogonal two-direction scaling function and two-direction wavelet. The two-direction multiwavelets constructed by our method preserve accuracy and regularity of the original two-direction wavelet and all supported on a shorter interval than the original two-direction wavelet. Moreover, we can construct easily a lot of orthogonal symmetric/antisymmetric multiscaling functions and corresponding orthogonal symmetric/antisymmetric multi-wavelets applying the orthogonal two-direction multiscaling functions. In the end, a construction example is given. |
| Keywords and phrases: two-direction refinable function, two-direction wavelet, symmetry, two-direction multiscaling functions, two-direction multiwavelets. |
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