Two-Dimensional Wavelet Transforms and Applications

In this chapter, we describe various methods of applying the wavelet transform to a two-dimensional signal or image. In particular, we will treat subband image decomposition and encoding, image enhancement, and wavelet techniques for image compression and video encoding. Optical image processing techniques using wavelets will be the subject of a later chapter.

[1]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[2]  Edward H. Adelson,et al.  Orthogonal Pyramid Transforms For Image Coding. , 1987, Other Conferences.

[3]  William Equitz,et al.  Successive refinement of information , 1991, IEEE Trans. Inf. Theory.

[4]  D. Esteban,et al.  Application of quadrature mirror filters to split band voice coding schemes , 1977 .

[5]  J. Daugman.  Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[6]  Ian H. Witten,et al.  Arithmetic coding for data compression , 1987, CACM.

[7]  William R. Zettler,et al.  Application of compactly supported wavelets to image compression , 1990, Other Conferences.

[8]  John W. Woods,et al.  Subband Image Coding , 1990 .

[9]  J. M. Shapiro.  An embedded wavelet hierarchical image coder , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  Seishi Takamura,et al.  Lossless image compression with lossy image using adaptive prediction and arithmetic coding , 1994, Proceedings of IEEE Data Compression Conference (DCC'94).

[11]  William A. Pearlman,et al.  An image multiresolution representation for lossless and lossy compression , 1996, IEEE Trans. Image Process..

[12]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  H. Gharavi,et al.  Application of quadrature mirror filtering to the coding of monochrome and color images , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  Nikolas P. Galatsanos,et al.  Prioritized DCT for compression and progressive transmission of images , 1992, IEEE Trans. Image Process..

[15]  Rangaraj M. Rangayyan,et al.  Performance analysis of reversible image compression techniques for high-resolution digital teleradiology , 1992, IEEE Trans. Medical Imaging.

[16]  William K. Pratt,et al.  Scene Adaptive Coder , 1984, IEEE Trans. Commun..

[17]  Adrian S. Lewis,et al.  Image compression using the 2-D wavelet transform , 1992, IEEE Trans. Image Process..

[18]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1991, CACM.

[19]  Ronald A. DeVore,et al.  Image compression through wavelet transform coding , 1992, IEEE Trans. Inf. Theory.

[20]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

[21]  Jerome M. Shapiro,et al.  Embedded image coding using zerotrees of wavelet coefficients , 1993, IEEE Trans. Signal Process..

[22]  Ian H. Witten,et al.  Text Compression , 1990, 125 Problems in Text Algorithms.

[23]  Stéphane Mallat,et al.  Multifrequency channel decompositions of images and wavelet models , 1989, IEEE Trans. Acoust. Speech Signal Process..

[24]  Khalid Sayood,et al.  A differential lossless image compression scheme , 1992, IEEE Trans. Signal Process..

[25]  G. MallatS..  A Theory for Multiresolution Signal Decomposition , 1989 .

[26]  Ronald R. Coifman,et al.  Entropy-based algorithms for best basis selection , 1992, IEEE Trans. Inf. Theory.

[27]  Paul W. Melnychuck,et al.  Conditioning contexts for the arithmetic coding of bit planes , 1992, IEEE Trans. Signal Process..

[28]  Stephen Todd,et al.  Parameter Reduction and Context Selection for Compression of Gray-Scale Images , 1985, IBM J. Res. Dev..

[29]  Michelle Effros,et al.  A progressive universal noiseless coder , 1994, IEEE Trans. Inf. Theory.

[30]  J. H. Peters,et al.  Reversible intraframe compression of medical images. , 1988, IEEE transactions on medical imaging.

[31]  William A. Pearlman,et al.  A new, fast, and efficient image codec based on set partitioning in hierarchical trees , 1996, IEEE Trans. Circuits Syst. Video Technol..

[32]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..

[33]  Allen Gersho,et al.  Image compression with variable block size segmentation , 1992, IEEE Trans. Signal Process..

[34]  P. W. Jones,et al.  Digital Image Compression Techniques , 1991 .

[35]  Nikolas P. Galatsanos,et al.  Marginal analysis prioritization for image compression based on a hierarchical wavelet decomposition , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[36]  Kou-Hu Tzou,et al.  An efficient pyramid image coding system , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[37]  Adrian S. Lewis,et al.  A 64 Kb/s video codec using the 2-D wavelet transform , 1991, [1991] Proceedings. Data Compression Conference.

[38]  William A. Pearlman,et al.  Reversible image compression via multiresolution representation and predictive coding , 1993, Other Conferences.

[39]  Jelena Kovacevic,et al.  Perfect Reconstruction Filter Banks for Hdtv Representation and Coding* , 1989 .

[40]  Gregory W. Wornell,et al.  A Karhunen-Loève-like expansion for 1/f processes via wavelets , 1990, IEEE Trans. Inf. Theory.

[41]  Pankaj K. Das,et al.  Application of wavelet image processing for ultrasonic gauging , 1997, Defense, Security, and Sensing.

[42]  Hans-Erich Reinfelder,et al.  Comparison of reversible methods for data compression , 1990, Medical Imaging: Image Processing.

[43]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[44]  Surendra Ranganath,et al.  Hierarchical Image Decomposition And Filtering Using The S-Transform , 1988, Medical Imaging.

[45]  Gilbert G. Walter,et al.  A sampling theorem for wavelet subspaces , 1992, IEEE Trans. Inf. Theory.

[46]  James W. Modestino,et al.  Adaptive entropy coded subband coding of images , 1992, IEEE Trans. Image Process..

[47]  Alex Pentland,et al.  A practical approach to fractal-based image compression , 1991, [1991] Proceedings. Data Compression Conference.

[48]  Dennis Gabor,et al.  Theory of communication , 1946 .