Abstract
A new image coding method based on discrete directional wavelet transform (S-WT) and quadtree decomposition is proposed here. The S-WT is a kind of transform proposed in [1], which is based on lattice theory, and with the difference with the standard wavelet transform is that the former allows more transform directions. Because the directional property in a small region is more regular than in a big block generally, in order to sufficient make use of the multidirectionality and directional vanishing moment(DVM) of S-WT, the input image is divided into many small regions by means of the popular quadtree segmentation, and the splitting criterion is on the rate-distortion sense. After the optimal quadtree is obtained, a resource bit allocation algorithm is fast implemented utilizing the model proposed in [15]. Experiment results indicate that our algorithms perform better compared to some state-of-the-art image coders.
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Velisavljevic, V., Beferull-Lozano, B., Vetterli, M., Dragotti, P.L.: Directionlets: Anisotropic Multidirectional Representa- tion With Separable Filtering. IEEE Trans. Image Process. 15(7) (2006)
Velisavljevć, V., Beferull-Lozano, B., Vetterli, M.: Space-Frequency Quantization for Image Compression with Directionlets. IEEE Trans. Image Processing (January 15 (2007)
Leonardi, R., Kunt, M.: Adaptive split and merge for image analysis and coding. In: Proc. SPIE, vol. 594 (1985)
Sullivan, G.J., Baker, R.L.: Efficient quadtree coding of images and video. IEEE Trans. Image Proc. 3(3), 327–331 (1994)
Taubman, D S, Marcellin, M W.: JPEG2000 image compression fundamentals, standards and practice. Kluwer Academic Publishers, Dordrecht (2002)
Vetterli, M.: Wavelets, approximation and compression. IEEE Signal Pro. Mag. 18(5), 59–73 (2001)
Do, M.N., Vetterli, M.: The contourlet transform: An efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)
Candés, E.J., Donoho, D.L.: Curvelets a surprisingly effective non-adaptive representation for objects with edges. In: Cohen, A., Rabut, C., Schumaker, L.L. (ed.) Curve and Surface Fitting, Saint-Malo, Vanderbilt University Press (1999)
LePennec, E., Mallat, S.: Bandelet representation for image comression. In: Proc. IEEE Int. Conf. Image Processing, Thessaloniki, Greece, p. 12 (October 2001)
Donoho, D.L.: Wedgelets: Nearly minimax estimation of edges. Ann. Stat. 27(3), 859–897 (1999)
Ramchandran, K., Vetterli, M.: Best wavelet packet bases in a rate-distortion sense. IEEE Trans. Image Proc. 2(2), 160–175 (1993)
Li, J., Cheng, P-Y., Kuo, C-C.: Embedded wavelet packet image coder with fast rate-distortion optimized decomposition. In: SPIE: Visual Communication and Image Processing, vol. 3204, pp. 1077–1088 (1997)
Taubman, D., Zakhor, A.: Multirate 3-D subband coding of video. IEEE Trans. on Image Processing 3(5), 572–588 (1994)
Mallat, S., Falzon, F.: Analysis of low bit rate image transform coding. IEEE Transactions on Signal Processing (April 1998)
Rajpoot, M.: Model based optimal bit allocation. IEEE Data Compression Conference 2004. Proceedings. DCC 2004 19.
Gopinath, R.A., Lang, M., Guo, H., Odegard, J.E.: Wavelet-based post-processing of low bit rate transform coded images. In: Proc. IEEE International Conference on Image Processing (ICIP1994), Austin, TX, pp. 913-917 (November 1994)
Xiong, Z., Orchard, M.T., Zhang, Y.-Q.: A deblocking algorithm for JPEG compressed images using overcomplete wavelet representations. IEEE Trans. Circuits Syst. Video Technol. 7(2), 433–437 (1997)
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Zuo, P., liu, H., Ma, S. (2007). Discrete Directional Wavelet Image Coder Based on Fast R-D Optimized Quadtree Decomposition. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_100
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DOI: https://doi.org/10.1007/978-3-540-74171-8_100
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