| 平衡多小波的Groebner基构造及其应用 |
| |
| 引用本文： | 李小雄,牛双国.平衡多小波的Groebner基构造及其应用[J].河南大学学报(自然科学版),2007,37(6):646-648. |
| |
| 作者姓名： | 李小雄 牛双国 |
| |
| 作者单位： | [1]北京理工大学信息科学技术学院,北京100081 [2]黄河水利职业技术学院,河南开封475004 |
| |
| 摘 要： | 平衡多小波由于可避免预滤波而成为小波分析的研究热点,对已有不平衡多小波进行平衡,常会丢失多重尺度函数的对称性.通过对平衡多小波的平衡特性进行研究,结合正交性、对称性,构造一组由小波系数构成的多元多项式方程组,利用Groebner基方法求解出2阶平衡多小波的滤波器系数.采用2阶平衡多小波对图像进行压缩处理,取得了良好效果.
|
| 关 键 词： | 平衡多小波 Groebner基 编码 |
| 文章编号： | 1003-4978（2007）06-0646-03 |
| 修稿时间： | 2006-11-16 |
Groebner Basis Construction and Application of Balanced Multiwavelet |
| |
| LI Xiao-xiong, NIU Shuang-guo.Groebner Basis Construction and Application of Balanced Multiwavelet[J].Journal of Henan University(Natural Science),2007,37(6):646-648. |
| |
| Authors: | LI Xiao-xiong NIU Shuang-guo |
| |
| Institution: | 1 .School of Information Science and Technology, Beijing Institute of Technology, Beijing, 100081, China; 2.Yellow River Conservancy Technical Institute, HenanKai f eng 475004, China |
| |
| Abstract: | Balanced multiwavelet which can avoid prefiltering is an active area of wavelet research. The balancing of unbalanced multiwavelet will destroy its symmetry of multiscale functions. Through studying balance performance of balanced multiwavelet and combining its orthogonality and symmetry a multivariable polynomial system is constructed. Based on the application of Groebner basis, a group of filter coefficients of 2-order balanced multiwavelet are obtained. The image is compressed by 2-order balanced orthogonal multiwavelet. The experiments show that the effect of coding is better. |
| |
| Keywords: | balanced multiwavelet Groebner basis coding |
| 本文献已被 维普 等数据库收录！ |
|
