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构造紧支全对称的Daubechies型3带小波系统的新方法 被引量：3

A NEW METHOD OF CONSTRUCTING COMPACTLY SUPPORTED AND SYMMETRIC DAUBECHIES'S 3-BAND WAVELET SYSTEMS
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摘要 针对尺度M 为3的情形,给出了一种构造全对称的小波系统的新方法,得到了一些有理、具有较小支集、且比较光滑的对称(反对称)小波系统,该类系统具有良好的应用前景. In this paper, for the scale M = 3, we give a new method of constructing symmetric（antisymmetric） wavelet systems, obtain some rational, small supported and smoother symmetric（antisymmetric） wavelet systems. The systems have good perspective in the applications.
作者 王永革 彭立中
机构地区 北京航空航天大学数学系 中国科学院数学与系统科学研究院 北京大学数学科学学院
出处 《应用数学学报》 CSCD 北大核心 2005年第4期659-667,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10271012 10371122号)数学天元基金(A0324648)资助项目
关键词 尺度(小波)滤波器 对称性 K-正则 Mcmillan度数 Scale（wavelet） filter Symmetry k-regular Mcmillan degree
分类号 O174.2 [理学—基础数学]
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  • 1[1]Daubechies, I., Orthonormal bases of compact supported wavelets, Comm. Pure and Appl. Math., 1988, 41:909-996.
  • 2[2]Daubechies, I., Ten Lectures on Wavelets, Philadelphia, PA: SIAM, 1992.
  • 3[3]Steffen, P., Heller, P., Gopinath, R. A. et al., Theory of regular M-band wavelet bases, IEEE. Trans. on Signal Processing, 1993, 41:3497-3511.
  • 4[4]Chui, C., Lian, J. A., Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale=3, Appl. Comput. Harmon. Anal., 1995, 2: 68-84.
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  • 8[8]Heller, P. N., Resnikoff, H. L, Wells, Jr. R. O., Wavelet Matrices and the Representation of Discrete Functions:A Tutorial in Theory and Applications, Cambridge, MA: Academic Press, 1992, 15-50.

共引文献8

同被引文献16

  • 1宋艳,刘方爱.综合颜色与纹理的图像检索[J].计算机工程与设计,2007,28(17):4180-4182. 被引量：14
  • 2Pajares G, de la Cruz J M. A wavelet-based image fusion tutorial. Pattern Recognit, 2004, 37 (9) : 1855.
  • 3Gonztlez-Audtcana M, Saleta J L, Cataldn R G, et al. Fusion of multispectral and panchromatic image using improved IHS and PCA mergers based on wavelet decomposition. IEEE Trans Geosci Remote Sens, 2004, 42(6) : 1291.
  • 4Bhutada G G, Anand R S, Saxena S C. Edge preserved image en- hancement using adaptive fusion of images denoised by wavelet and curvelet transform. Digital Signal Process, 2011, 21(1) : 118.
  • 5Li S T, Yang B. blultifoeus image fusion by combining eurvelet and wavelet transform. Pattern Recognit Lett, 2008, 29(9) : 1295.
  • 6Chui C K, Lian J A. Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale = 3. Appl Comput Harmon Anal, 1995, 2( 1 ) : 21.
  • 7Soman A K, Vaidyanathan P P, Nguyen T Q. Linear phase pa- raunitary filter banks : theory, factorizations and designs. IEEE Trans Signal Process, 1993, 41 (12) : 3480.
  • 8Tran T D, de Queiroz R L, Nguyen T Q, et al. Linear-phase per- fect reconstruction filter bank: lattice structure, design and appli- cation in image coding. IEEE Trans Signal Process, 2000, 48 (1) : 133.
  • 9Heller P N. Rank M wavelets with N vanishing moments. J Matrix Anal Appl, 1995, 16(2) : 502.
  • 10Tran T D, Nguyen T Q. On M-channel linear phase FIR filters banks and application in image compression. IEEE Trans Signal Process, 1997, 45(9) : 2175.

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应用数学学报
2005年 第4期

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