Wavelet bi-frames with uniform symmetry
文献类型：期刊论文
| 作者 | Li, Baobin |
| 刊名 | Mathematical methods in the applied sciences
 |
| 出版日期 | 2016-09-15 |
| 卷号 | 39期号:13页码:3701-3721 |
| 关键词 | Wavelet bi-frames Frames Frame filter banks Lifting scheme |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.3819 |
| 通讯作者 | Li, baobin(libb@ucas.ac.cn) |
| 英文摘要 | Wavelet bi-frames with uniform symmetry are discussed in this paper. every refinable function in the bi-frame system is symmetric, which is very useful in the image processing and curve and surface multiresolution processing. by the aid of the lifting scheme, bi-frame multiresolution algorithms can be divided into several iterative steps, and each step can be shown by a symmetric template. the template-based procedure is established for constructing bi-frames with uniform symmetry and n > 2 generators. in particular, we take the bi-frame with three generators as an example to provide a clearer picture of the template-based procedure for constructing bi-frames. three types of bi-frames with three generators are studied, and some examples with certain smoothness are constructed. these examples include some bi-frames with interpolating property. copyright (c) 2016 john wiley & sons, ltd. |
| WOS关键词 | COMPACTLY SUPPORTED TIGHT ; VANISHING MOMENTS ; GENERATORS ; OPERATOR |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000384078300013 |
| 出版者 | WILEY-BLACKWELL |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2375866 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Li, Baobin |
| 作者单位 | Univ Chinese Acad Sci, Sch Comp & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Baobin. Wavelet bi-frames with uniform symmetry[J]. Mathematical methods in the applied sciences,2016,39(13):3701-3721. |
| APA | Li, Baobin.(2016).Wavelet bi-frames with uniform symmetry.Mathematical methods in the applied sciences,39(13),3701-3721. |
| MLA | Li, Baobin."Wavelet bi-frames with uniform symmetry".Mathematical methods in the applied sciences 39.13(2016):3701-3721. |
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来源：中国科学院大学
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