Sub-band operators and saddle point wavelets
In this paper, a concept of sub-band operator is defined, a 2-circular matrix method is developed and the exact bounds of the sub-band operators are obtained. The method to calculate the bounds of the sub-band operators is described by computing the maximum of a function. In addition, it is found th...
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| Veröffentlicht in: | Applied mathematics and computation 2014-01, Vol.227, p.27-42 |
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| creator | Wang, Guoqiu Zou, Qingyun Yang, Mengyun |
| description | In this paper, a concept of sub-band operator is defined, a 2-circular matrix method is developed and the exact bounds of the sub-band operators are obtained. The method to calculate the bounds of the sub-band operators is described by computing the maximum of a function. In addition, it is found that the size of bound of a sub-band operator is very sensitive to the performance of wavelet transforms. So a model to minimize the bounds is built and then a class of wavelets, namely, saddle point wavelets, is designed. Experiments show that some saddle point wavelets with the filters of even lengths perform better than the well-known 9-7-tap wavelet in terms of image compression. |
| doi_str_mv | 10.1016/j.amc.2013.10.076 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2014-01, Vol.227, p.27-42 |
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| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | 2-Circular matrices Bounds estimate Computation Filters of even lengths Image coding Image compression Mathematical analysis Mathematical models Operators Saddle points Sub-band operators Wavelet Wavelet transforms |
| title | Sub-band operators and saddle point wavelets |
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