Wavelets in Image Communication

Biorthogonal Wavelets and Dual Filters (A. Cohen). Abstract. Introduction. The Construction of Biorthogonal Wavelets. Examples in 1-D. Biorthogonal splines. The Burt-Adelson wavelets. Optimizing the dual filter design. Examples in 2-D. The quincunx sublattice construction. The hexagonal construction. Conclusion. References. Non Rectangular Wavelet Representation of 2-D Signals. Application to Image Coding (C. Guillemot, A. Enis Cetin, R. Ansari). Abstract. Introduction. Nonrectangular Wavelet Representation of 2-D Signals. Nonseparable 2-D wavelets. Nonrectangular multiresolution representation. Construction of Bases for the Representation of Quincunx-Sampled Signals. 1-D wavelet construction using Lagrange halfband filters. Construction of nonrectangular 2-D orthogonal bases. Construction of biorthogonal bases. Application to Image Coding. Summary. References. Wavelet Transform and Image Coding (M. Antonini, T. Gaidon, P. Mathieu, M. Barlaud). Abstract. Wavelet Transform. Introduction. Definition of wavelets. Multiresolution analysis - scaling function. Multiresolution analysis and digital filter banks. Quality criteria for wavelets used in image processing. Biorthogonal wavelets. Extension to the bidimensional case. Statistical properties of wavelets coefficients. Conclusion. Appendix A. Bibliography. Vector Quantization. Introduction. Quantization. Codebook entropy. Vector quantization versus scalar quantization. Codebook design. Lattice Vector Quantization (LVQ). Bit allocation procedure. Experimental Results. Introduction. Lattice vector quantizer design. Coding under psychovisual considerations. Dyadic or quincunx scheme for coding? Appendix B. Bibliography. Conclusion. Acknowledgments. A Region-Based Discrete Wavelet Transform (RBDWT) for Image Coding (H.J. Barnard, J.H. Weber, J. Biemond). Abstract. Introduction. The discrete wavelet transform. Region-based coding. Principle of the region-based discrete wavelet transform. Scope and organization. The Implementation of the RBDWT. Decomposition of the segmentation mask. Filtering and downsampling with the RBDWT. The Coding Scheme. The segmentation. The bit allocation. The quantization. Comparison to the Standard DWT Coding Scheme. Theoretical advantages and disadvantages of the RBDWT coding scheme. Experimental comparison of the RBDWT and the standard DWT coding schemes. Multiresolution coding of images using the RBDWT. Application to video coding. Conclusions and Further Research. Bibliography. Wavelet Transform and Motion Estimation for Image Sequence Coding: A Multiconstraint Approach (N. Baaziz, C. Labit). Abstract. Introduction. Multiresolution Representations of Image Sequences. A generalized typology of multiresolution decompositions. Comparison based on local and global subband entropies. Discussion. Monoresolution Motion Estimation Framework. Adaptive pel-recursive motion estimation algorithm. Wiener-based algorithm. Modified Wiener-based approach. Multiresolution Motion Estimation. Problem statement. Multigrid Walker-Rao algorithm on wavelet pyramids. Multiconstraint Algorithm. Discussion. References.