The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Transforms for the motion compensation residual
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Sparse geometric image representations with bandelets
IEEE Transactions on Image Processing
Directionlets: anisotropic multidirectional representation with separable filtering
IEEE Transactions on Image Processing
Direction-Adaptive Discrete Wavelet Transform for Image Compression
IEEE Transactions on Image Processing
Extended Analysis of Motion-Compensated Frame Difference for Block-Based Motion Prediction Error
IEEE Transactions on Image Processing
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Various directional transforms have been developed recently to improve image compression. In video compression, however, prediction residuals of image intensities, such as the motion compensation residual or the resolution enhancement residual, are transformed. The applicability of the directional transforms on prediction residuals have not been carefully investigated. In this paper, we briefly discuss differing characteristics of prediction residuals and images, and propose directional transforms specifically designed for prediction residuals. We compare these transforms with the directional transforms proposed for images using prediction residuals. The results of the comparison indicate that our proposed directional transforms can provide better compression of prediction residuals than the directional transforms proposed for images.