Introduction to functional analysis, 2nd ed.
Introduction to functional analysis, 2nd ed.
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
JPEG 2000: Image Compression Fundamentals, Standards and Practice
JPEG 2000: Image Compression Fundamentals, Standards and Practice
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
Reversible n-Bit to n-Bit Integer Haar-Like Transforms
DCC '04 Proceedings of the Conference on Data Compression
An Improved N-Bit to N-Bit Reversible Haar-Like Transform
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
IEEE Transactions on Signal Processing
Integer fast Fourier transform
IEEE Transactions on Signal Processing
Lossless subband coding system based on rounding transform
IEEE Transactions on Signal Processing
Matrix factorizations for reversible integer mapping
IEEE Transactions on Signal Processing
Modulo transforms - an alternative to lifting
IEEE Transactions on Signal Processing
An image multiresolution representation for lossless and lossy compression
IEEE Transactions on Image Processing
Stabilization and optimization of PLUS factorization and its application in image coding
Journal of Visual Communication and Image Representation
Content-based image authentication by feature point clustering and matching
Security and Communication Networks
Hi-index | 35.68 |
A new general paradigm of dynamic-range-preserving one-to-one mapping-infinity-norm rotations, analogous to the general 2-norm rotations, are proposed in this paper. Analogous to the well-known discrete cosine transforms, the linear 2-norm rotation transforms which preserve the 2-norm of the rotated vectors, the proposed infinity-norm rotation transforms are piecewise linear transforms which preserve the infinity-norm of vectors. Besides the advantages of perfect reversibility, in-place calculation and dynamic range preservation, the infinity-norm rotation transforms also have good energy-compact ability, which is suitable for signal compression and analysis. It can be implemented by shear transforms based on the 2-D rotation factorization of similar orthogonal transform matrices, such as DCT matrices. The performance of the new transforms is illustrated with 2-D patterns and histograms. Its good performance in lossy and lossless image compression, compared with other integer reversible transforms, is demonstrated in the experiments.