Sparse Representation through Multi Sparse Representation through Multi Sparse Representation through Multi Sparse Representation through Multi--Resolution esolution esolution Transform for Image Coding Transform for Image Coding Transform for Image Coding Transform for Image Coding

作者: P. Arockia Jansi Rani

DOI:

关键词: Artificial intelligenceContinuous wavelet transformBandeletMathematicsVector quantizationWavelet transformPattern recognitionHuffman codingWaveletSparse approximationPruning (morphology)

摘要: Having a compact basis is useful both for compression and designing efficient numerical algorithms. In this paper, new image coding scheme using multi-resolution transform known as Bandelet Transform that provides an optimally images by exploring their directional characteristics proposed. As process results in sparse representation, Zero Vector Pruning applied in-order to extract the non-zero coefficients. Further geometric interpixel redundancies present transformed coefficients are removed. The psycho-visual removed simple Quantization (VQ) process. Finally, Huffman encoder used encode significant proposed method beats standard wavelet based algorithms terms of mean-square-error (MSE) visual quality, especially low-rate regime. A gain bit-rate about 0.81 bpp over achieved yielding similar quality factor.

参考文章(15)
V. Sadasivam, K. Sivakami Sundari, JPEG Adapted quantization matrix for low vision viewers. IPCV. pp. 503- 509 ,(2006)
Tony D. Derose, David H. Salesin, Eric J. Stollnitz, Wavelets for computer graphics: theory and applications Wavelets for computer graphics: theory and applications. pp. 246- 246 ,(1996)
Chuo-ling Chang, Bernd Girod, Direction-Adaptive Discrete Wavelet Transform via Directional Lifting and Bandeletization international conference on image processing. pp. 1149- 1152 ,(2006) , 10.1109/ICIP.2006.312760
G. Beylkin, On the representation of operators in bases of compactly supported wavelets SIAM Journal on Numerical Analysis. ,vol. 29, pp. 1716- 1740 ,(1992) , 10.1137/0729097
Wenpeng Ding, Feng Wu, Xiaolin Wu, Shipeng Li, Houqiang Li, Adaptive Directional Lifting-Based Wavelet Transform for Image Coding IEEE Transactions on Image Processing. ,vol. 16, pp. 416- 427 ,(2007) , 10.1109/TIP.2006.888341
K. Ramchandran, M. Vetterli, Best wavelet packet bases in a rate-distortion sense IEEE Transactions on Image Processing. ,vol. 2, pp. 160- 175 ,(1993) , 10.1109/83.217221
M.N. Do, M. Vetterli, Pyramidal directional filter banks and curvelets international conference on image processing. ,vol. 3, pp. 158- 161 ,(2001) , 10.1109/ICIP.2001.958075
Stéphane Mallat, A wavelet tour of signal processing ,(1998)
Wim Sweldens, The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets Applied and Computational Harmonic Analysis. ,vol. 3, pp. 186- 200 ,(1996) , 10.1006/ACHA.1996.0015