IEICE TRANSACTIONS on Fundamentals
A Time-Varying Subband Transform with Projection-Based Reconstruction
Summary :
A novel class of time-varying subband transforms and its application in image coding are introduced. We construct the framework in which an analysis subband transform is chosen from a given set of analysis transforms and perfect reconstruction is achieved. To this end, we suggest the reconstruction method from the transformed coefficients by applying the theory of convex projections (POCS). We introduce convex sets for perfect reconstruction from the transformed vector. We further propose other convex sets which assure smoothness of plane regions for image coding applications. We show several image coding examples. The proposed coding method is an extension of conventional one with multiple block-based transforms. At each time instance (block), the transform to be applied is chosen from a given set of orthogonal subband transforms according to a certain criterion. Experimental results show that the use of multiple subband transforms leads to the improvement of coding performance compared to the use of single transform even though there exists side information.
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- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.8 pp.1935-1941
- Publication Date
- 2003/08/01
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- Special Section PAPER (Special Section on Digital Signal Processing)
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Toshihisa TANAKA, Takateru SAITO, Yukihiko YAMASHITA, "A Time-Varying Subband Transform with Projection-Based Reconstruction" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 8, pp. 1935-1941, August 2003, doi: .
Abstract: A novel class of time-varying subband transforms and its application in image coding are introduced. We construct the framework in which an analysis subband transform is chosen from a given set of analysis transforms and perfect reconstruction is achieved. To this end, we suggest the reconstruction method from the transformed coefficients by applying the theory of convex projections (POCS). We introduce convex sets for perfect reconstruction from the transformed vector. We further propose other convex sets which assure smoothness of plane regions for image coding applications. We show several image coding examples. The proposed coding method is an extension of conventional one with multiple block-based transforms. At each time instance (block), the transform to be applied is chosen from a given set of orthogonal subband transforms according to a certain criterion. Experimental results show that the use of multiple subband transforms leads to the improvement of coding performance compared to the use of single transform even though there exists side information.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_8_1935/_p
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@ARTICLE{e86-a_8_1935,
author={Toshihisa TANAKA, Takateru SAITO, Yukihiko YAMASHITA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Time-Varying Subband Transform with Projection-Based Reconstruction},
year={2003},
volume={E86-A},
number={8},
pages={1935-1941},
abstract={A novel class of time-varying subband transforms and its application in image coding are introduced. We construct the framework in which an analysis subband transform is chosen from a given set of analysis transforms and perfect reconstruction is achieved. To this end, we suggest the reconstruction method from the transformed coefficients by applying the theory of convex projections (POCS). We introduce convex sets for perfect reconstruction from the transformed vector. We further propose other convex sets which assure smoothness of plane regions for image coding applications. We show several image coding examples. The proposed coding method is an extension of conventional one with multiple block-based transforms. At each time instance (block), the transform to be applied is chosen from a given set of orthogonal subband transforms according to a certain criterion. Experimental results show that the use of multiple subband transforms leads to the improvement of coding performance compared to the use of single transform even though there exists side information.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - A Time-Varying Subband Transform with Projection-Based Reconstruction
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1935
EP - 1941
AU - Toshihisa TANAKA
AU - Takateru SAITO
AU - Yukihiko YAMASHITA
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2003
AB - A novel class of time-varying subband transforms and its application in image coding are introduced. We construct the framework in which an analysis subband transform is chosen from a given set of analysis transforms and perfect reconstruction is achieved. To this end, we suggest the reconstruction method from the transformed coefficients by applying the theory of convex projections (POCS). We introduce convex sets for perfect reconstruction from the transformed vector. We further propose other convex sets which assure smoothness of plane regions for image coding applications. We show several image coding examples. The proposed coding method is an extension of conventional one with multiple block-based transforms. At each time instance (block), the transform to be applied is chosen from a given set of orthogonal subband transforms according to a certain criterion. Experimental results show that the use of multiple subband transforms leads to the improvement of coding performance compared to the use of single transform even though there exists side information.
ER -
English
