JPEG 2000: Image Compression Fundamentals, Standards and Practice
JPEG 2000: Image Compression Fundamentals, Standards and Practice
Directional filtering transform
ICME'09 Proceedings of the 2009 IEEE international conference on Multimedia and Expo
Adaptive polyphase subband decomposition structures for image compression
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
The finite ridgelet transform for image representation
IEEE Transactions on Image Processing
Nonlinear wavelet transforms for image coding via lifting
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
A 2-D orientation-adaptive prediction filter in lifting structures for image coding
IEEE Transactions on Image Processing
Curved wavelet transform for image coding
IEEE Transactions on Image Processing
Adaptive Directional Lifting-Based Wavelet Transform for Image Coding
IEEE Transactions on Image Processing
Direction-Adaptive Discrete Wavelet Transform for Image Compression
IEEE Transactions on Image Processing
Weighted Adaptive Lifting-Based Wavelet Transform for Image Coding
IEEE Transactions on Image Processing
Overview of the H.264/AVC video coding standard
IEEE Transactions on Circuits and Systems for Video Technology
Lifting-Based Directional DCT-Like Transform for Image Coding
IEEE Transactions on Circuits and Systems for Video Technology
Directional Discrete Cosine Transforms—A New Framework for Image Coding
IEEE Transactions on Circuits and Systems for Video Technology
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While directional adaption is introduced into traditional transforms, different orders of two 1-D transforms will result in different results of one 2-D transform. Based upon an anisotropic image model, this paper analyzes the effect of transform orders in terms of theoretical coding gain. Our results reveal that the transform orders have little effect on the coding gain with full decomposition, good directional modes and good interpolation. However, in practical compression schemes, since high-pass bands are not decomposed fully because of the consideration on complexity, different transform orders have different coding performances, which can be solved by an adaptive transform order. Motivated by our analyzed results, a directional filtering transform (dFT, in order to distinguish from the common usage on DFT) is proposed in this paper to better exploit correlations among samples in H.264 intraframe coding. It provides an evenly distributed set of prediction modes with an adaptive transform order. Both interblock and intrablock correlations are exploited in this scheme. Experimental results in H.264 intraframe coding demonstrate its superiority both objectively and subjectively.