IEICE TRANSACTIONS on Fundamentals
Reversible 2D 9-7 DWT Based on Non-separable 2D Lifting Structure Compatible with Irreversible DWT
Summary :
This paper proposes a reversible two dimensional (2D) discrete wavelet transform (DWT) for lossless coding which is compatible with the irreversible 2D 9-7 DWT for lossy coding in the JPEG 2000. Since all the filters and scalings are factorized into a product of lifting steps, and signal values are rounded into integers, the proposed DWT is reversible and applicable to lossless coding of 2D signals. We replace a part of the separable 2D transfer function of the 2D DWT by a non separable 2D lifting structure, so that the number of rounding operations is decreased. We also investigate performance of the DWT under octave decomposition case and theoretically endorse it. As a result, reduction of the rounding errors due to the replacement was confirmed. It means that compatibility of the reversible DWT to the irreversible 2D 9-7 DWT is improved.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.10 pp.1928-1936
- Publication Date
- 2011/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E94.A.1928
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Keyword
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Masahiro IWAHASHI, Hitoshi KIYA, "Reversible 2D 9-7 DWT Based on Non-separable 2D Lifting Structure Compatible with Irreversible DWT" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 10, pp. 1928-1936, October 2011, doi: 10.1587/transfun.E94.A.1928.
Abstract: This paper proposes a reversible two dimensional (2D) discrete wavelet transform (DWT) for lossless coding which is compatible with the irreversible 2D 9-7 DWT for lossy coding in the JPEG 2000. Since all the filters and scalings are factorized into a product of lifting steps, and signal values are rounded into integers, the proposed DWT is reversible and applicable to lossless coding of 2D signals. We replace a part of the separable 2D transfer function of the 2D DWT by a non separable 2D lifting structure, so that the number of rounding operations is decreased. We also investigate performance of the DWT under octave decomposition case and theoretically endorse it. As a result, reduction of the rounding errors due to the replacement was confirmed. It means that compatibility of the reversible DWT to the irreversible 2D 9-7 DWT is improved.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1928/_p
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@ARTICLE{e94-a_10_1928,
author={Masahiro IWAHASHI, Hitoshi KIYA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Reversible 2D 9-7 DWT Based on Non-separable 2D Lifting Structure Compatible with Irreversible DWT},
year={2011},
volume={E94-A},
number={10},
pages={1928-1936},
abstract={This paper proposes a reversible two dimensional (2D) discrete wavelet transform (DWT) for lossless coding which is compatible with the irreversible 2D 9-7 DWT for lossy coding in the JPEG 2000. Since all the filters and scalings are factorized into a product of lifting steps, and signal values are rounded into integers, the proposed DWT is reversible and applicable to lossless coding of 2D signals. We replace a part of the separable 2D transfer function of the 2D DWT by a non separable 2D lifting structure, so that the number of rounding operations is decreased. We also investigate performance of the DWT under octave decomposition case and theoretically endorse it. As a result, reduction of the rounding errors due to the replacement was confirmed. It means that compatibility of the reversible DWT to the irreversible 2D 9-7 DWT is improved.},
keywords={},
doi={10.1587/transfun.E94.A.1928},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Reversible 2D 9-7 DWT Based on Non-separable 2D Lifting Structure Compatible with Irreversible DWT
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1928
EP - 1936
AU - Masahiro IWAHASHI
AU - Hitoshi KIYA
PY - 2011
DO - 10.1587/transfun.E94.A.1928
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2011
AB - This paper proposes a reversible two dimensional (2D) discrete wavelet transform (DWT) for lossless coding which is compatible with the irreversible 2D 9-7 DWT for lossy coding in the JPEG 2000. Since all the filters and scalings are factorized into a product of lifting steps, and signal values are rounded into integers, the proposed DWT is reversible and applicable to lossless coding of 2D signals. We replace a part of the separable 2D transfer function of the 2D DWT by a non separable 2D lifting structure, so that the number of rounding operations is decreased. We also investigate performance of the DWT under octave decomposition case and theoretically endorse it. As a result, reduction of the rounding errors due to the replacement was confirmed. It means that compatibility of the reversible DWT to the irreversible 2D 9-7 DWT is improved.
ER -
English
