A lifting based system for optimal image compression in the wavelet domain

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Wavelets are used in most of the recent image compression standards, because they provide scalability, multi-resolution, and energy concentration. Most of these wavelet image coders employ bi-orthogonal filters. This provides the advantages of selective frequency localization and Perfect Reconstruction (PR), compared to classical orthogonal filters. Bi-orthogonal filters also obviate the need for any phase compensation in the pyramidal filter structure. Lifting has emerged as a powerful method for implementing bi-orthogonal wavelet filters. It exploits the similarity of the filter coefficients between the low pass and high pass filters to provide a higher speed of execution, compared to conventional convolution-based coders. In this paper, we propose a novel lifting-based system that achieves better compression than existing wavelet kernels. The proposed lifting-based system uses bi-orthogonal filters in its architecture, and can operate in the JPEG2000 framework. In the proposed system, the coefficients of either the low-pass or high-pass filter can be modified, without changing the coefficients of the other filter. This is done in a manner that enhances compression while preserving the perfect reconstruction (PR) condition, and increasing the regularity of the modified pair of filters. Extensive simulations have been performed in the JPEG2000 domain to compare the efficiency of our kernels to the lifting wavelet kernels provided by the JPEG2000 standard.

Original languageEnglish (US)
JournalUnknown Journal
Volume4
StatePublished - 2002

Fingerprint

Data Compression
High pass filters
Image compression
filters
Convolution
Scalability
high pass filters
coders
coefficients
convolution integrals
regularity
preserving
high speed
Compensation and Redress

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

A lifting based system for optimal image compression in the wavelet domain. / Fahmy, Gamal; Panchanathan, Sethuraman.

In: Unknown Journal, Vol. 4, 2002.

Research output: Contribution to journalArticle

@article{e41770e00e054bb38d2b137279f7096d,
title = "A lifting based system for optimal image compression in the wavelet domain",
abstract = "Wavelets are used in most of the recent image compression standards, because they provide scalability, multi-resolution, and energy concentration. Most of these wavelet image coders employ bi-orthogonal filters. This provides the advantages of selective frequency localization and Perfect Reconstruction (PR), compared to classical orthogonal filters. Bi-orthogonal filters also obviate the need for any phase compensation in the pyramidal filter structure. Lifting has emerged as a powerful method for implementing bi-orthogonal wavelet filters. It exploits the similarity of the filter coefficients between the low pass and high pass filters to provide a higher speed of execution, compared to conventional convolution-based coders. In this paper, we propose a novel lifting-based system that achieves better compression than existing wavelet kernels. The proposed lifting-based system uses bi-orthogonal filters in its architecture, and can operate in the JPEG2000 framework. In the proposed system, the coefficients of either the low-pass or high-pass filter can be modified, without changing the coefficients of the other filter. This is done in a manner that enhances compression while preserving the perfect reconstruction (PR) condition, and increasing the regularity of the modified pair of filters. Extensive simulations have been performed in the JPEG2000 domain to compare the efficiency of our kernels to the lifting wavelet kernels provided by the JPEG2000 standard.",
author = "Gamal Fahmy and Sethuraman Panchanathan",
year = "2002",
language = "English (US)",
volume = "4",
journal = "Scanning Electron Microscopy",
issn = "0586-5581",
publisher = "Scanning Microscopy International",

}

TY - JOUR

T1 - A lifting based system for optimal image compression in the wavelet domain

AU - Fahmy, Gamal

AU - Panchanathan, Sethuraman

PY - 2002

Y1 - 2002

N2 - Wavelets are used in most of the recent image compression standards, because they provide scalability, multi-resolution, and energy concentration. Most of these wavelet image coders employ bi-orthogonal filters. This provides the advantages of selective frequency localization and Perfect Reconstruction (PR), compared to classical orthogonal filters. Bi-orthogonal filters also obviate the need for any phase compensation in the pyramidal filter structure. Lifting has emerged as a powerful method for implementing bi-orthogonal wavelet filters. It exploits the similarity of the filter coefficients between the low pass and high pass filters to provide a higher speed of execution, compared to conventional convolution-based coders. In this paper, we propose a novel lifting-based system that achieves better compression than existing wavelet kernels. The proposed lifting-based system uses bi-orthogonal filters in its architecture, and can operate in the JPEG2000 framework. In the proposed system, the coefficients of either the low-pass or high-pass filter can be modified, without changing the coefficients of the other filter. This is done in a manner that enhances compression while preserving the perfect reconstruction (PR) condition, and increasing the regularity of the modified pair of filters. Extensive simulations have been performed in the JPEG2000 domain to compare the efficiency of our kernels to the lifting wavelet kernels provided by the JPEG2000 standard.

AB - Wavelets are used in most of the recent image compression standards, because they provide scalability, multi-resolution, and energy concentration. Most of these wavelet image coders employ bi-orthogonal filters. This provides the advantages of selective frequency localization and Perfect Reconstruction (PR), compared to classical orthogonal filters. Bi-orthogonal filters also obviate the need for any phase compensation in the pyramidal filter structure. Lifting has emerged as a powerful method for implementing bi-orthogonal wavelet filters. It exploits the similarity of the filter coefficients between the low pass and high pass filters to provide a higher speed of execution, compared to conventional convolution-based coders. In this paper, we propose a novel lifting-based system that achieves better compression than existing wavelet kernels. The proposed lifting-based system uses bi-orthogonal filters in its architecture, and can operate in the JPEG2000 framework. In the proposed system, the coefficients of either the low-pass or high-pass filter can be modified, without changing the coefficients of the other filter. This is done in a manner that enhances compression while preserving the perfect reconstruction (PR) condition, and increasing the regularity of the modified pair of filters. Extensive simulations have been performed in the JPEG2000 domain to compare the efficiency of our kernels to the lifting wavelet kernels provided by the JPEG2000 standard.

UR - http://www.scopus.com/inward/record.url?scp=0036297564&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036297564&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036297564

VL - 4

JO - Scanning Electron Microscopy

JF - Scanning Electron Microscopy

SN - 0586-5581

ER -