期刊文献+

小波提升格式的研究 被引量:4

The Research on the Wavelet Lifting Scheme
在线阅读 下载PDF
导出
摘要 小波提升格式以计算快速、能形成整数到整数的可逆变换的优势在数字图像压缩领域得到了广泛应用,而如何把适合于图像压缩的第一代小波映射成整数提升格式也成为一个研究问题。本文应用双正交滤波的多相矩阵的多步三角分解,提出不同多相矩阵表示时寻求提升系数的方法,并利用这种方法给出了多相矩阵的行列式不为1的滤波器组的提升格式。 The lifting scheme can obtain the reversible integer wavelet transform and computes fast, so it has been widely used in image compression domain. So how to factor the first generation wavelets which adapt to image compression to the lifting scheme is worth while studying. This paper presents a method of looking for lifting coefficients by using the multi-steps trigonal decomposition of biorthogonal wavelet polyphase matrix, and gives the 1 lifting scheme when the biorthogonal polyphase matrix's determinant is not equal to 1 through this method.
出处 《信号处理》 CSCD 2003年第3期269-273,共5页 Journal of Signal Processing
关键词 小波提升格式 数字图像压缩 低信噪比 信号处理 信号重构 wavelet transform lifting scheme polyphase matrix trigonal decomposition
  • 相关文献

参考文献8

  • 1M.Lounsbery, T.D.DeRose, and J.Warren. Multiresolution surfaces of arbitrary topological type. Department of Computer Science and Engineering, University of Washington, 1993(10).
  • 2David L. Donoho. Interpolating Wavelet Transforms,Technical Report 408, Departmnet of Statistics, Stanford University, 1992.
  • 3David L.Donoho. On Minimum Entropy Segmentation,Wavelets: Theory, Algorithms and Applications (pp.233-269). San Diego: Academic Press. 1994.
  • 4Swildens, W.Schroder.P. Building your own wavelets at home. Technical Report 1995.5, Industrial mathematics Initiative. Department of Mathematics, University of South Carolina.
  • 5Swildeus. The lifting scheme: A custom-design construc-tion of biorthogonal wavelets. Appl. Comput.Harmon. Anal, 3(2): 186-200, 1996.
  • 6I.Daubechies and W.Sweldens. Factoring wavelet transforms into lifting steps. Technical report, Bell La-boratories, Lucent Technologies, 1996.
  • 7R.C.Calderbank, Ingrid Daubechies, Wim Sweldens, and Boon-Lock Yeo. Wavelet Transforms that Map Integers to Integers, Applied and Computational Harmonic Analysis(ACHA), Vol. 5, Nr. 3, pp. 332-369, 1998.
  • 8Sweldens. The lifting scheme: A construction of second generation wavelets. SIAMJ. Math. Anal, 29(2): 511-546,1997.

同被引文献17

引证文献4

二级引证文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部