| a尺度的二维四向小波问题 |
| |
| 引用本文： | 库福立,王刚,库媛.a尺度的二维四向小波问题[J].吉林大学学报(理学版),2013,51(5):763-782. |
| |
| 作者姓名： | 库福立 王刚 库媛 |
| |
| 作者单位： | 1. 新疆师范大学 数学科学学院, 乌鲁木齐 830054; 2. 吉林大学 材料科学与工程学院, 长春 130012 |
| |
| 基金项目： | 新疆维吾尔自治区高校青年教师培育基金(批准号:XJEDU2009S67);新疆师范大学研究生创新基金(批准号:20121211) |
| |
| 摘 要： | 以双向小波理论为基础, 通过使用张量积的方法构造尺度为a的二维四向小波, 并给出了二维小波的多分辨分析及二维小波的正交条件和双正交条件, 得到了二维四向小波包及其相关性质.
|
| 关 键 词： | 二维四向小波 双正交 多分辨分析 两尺度方程 加细面具 |
| 收稿时间： | 2012-10-15 |
Two Dimensional Wavelet with Tectonic Scale a and Four Direction |
| |
| KU Fu-li;WANG Gang;KU Yuan.Two Dimensional Wavelet with Tectonic Scale a and Four Direction[J].Journal of Jilin University: Sci Ed,2013,51(5):763-782. |
| |
| Authors: | KU Fu-li;WANG Gang;KU Yuan |
| |
| Institution: | 1. School of Mathematical Science, Xinjiang Normal University, Urmuqi 830054, China;2. College of Materials Science and Engineering, Jilin University, Changchun 130012, China |
| |
| Abstract: | On the basis of two direction wavelet theory, a four direction wavelet with tectonic scale a was constructed by tensor product. Moreover, MRA, orthogonal and bi orthogonal conditions of this two dimensional wavelet were given, and the relevant properties of this two dimensional wavelet
were shown in the conclusion. |
| |
| Keywords: | four direction two dimensional to wavelet biorthogonal multiresolution analysis two scaling equations refine mask |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
