A global method for invertible integer DCT and integer wavelet algorithms

DOI10.1016/J.ACHA.2003.10.004zbMath1053.65103OpenAlexW2053241624MaRDI QIDQ1433015

Gerlind Plonka-Hoch

Publication date: 15 June 2004

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2003.10.004

zbMATH Keywords

Discrete cosine transformrounding-offinteger wavelet transformexpansion factorsInvertible integer to integer transformsLossless codingreversible integer DCT

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Roundoff error (65G50) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (1)

New universal rotation-based fast computational structures for an efficient implementation of the DCT-IV/DST-IV and analysis/synthesis MDCT/MDST filter banks

Uses Software

• binDCT

Cites Work

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• Factoring wavelet transforms into lifting steps
• Wavelet transforms that map integers to integers
• Invertible integer DCT algorithms
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Classification of nonexpansive symmetric extension transforms for multirate filter banks
• Reversible integer-to-integer wavelet transforms for image compression: performance evaluation and analysis
• Lossless and lossy image compression using biorthogonal wavelet transforms with multiplierless operations
• Ten Lectures on Wavelets
• Matrix factorizations for reversible integer mapping
• Integer DCTs and fast algorithms
• Integer fast Fourier transform

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