Median-rational hybrid filters for image restoration

L. Khriji, M. Gabbouj

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A new class of nonlinear filters is introduced, called median-rational hybrid filters (MRHFs), based on rational functions (RFs). The output is the result of rational operation taking into account three sub-functions. It is shown that every sub-function will preserve details within its sub-windows. The proposed MRHF filters have the inherent property that on smooth areas they provide good noise attenuation whereas on changing areas the noise attenuation is traded for good response to change. It is shown that a consistent reduction in the objectively measured mean absolute error and mean square error is obtained.

Original languageEnglish
Pages (from-to)977-979
Number of pages3
JournalElectronics Letters
Volume34
Issue number10
Publication statusPublished - May 14 1998

Fingerprint

Image reconstruction
Rational functions
Mean square error

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Median-rational hybrid filters for image restoration. / Khriji, L.; Gabbouj, M.

In: Electronics Letters, Vol. 34, No. 10, 14.05.1998, p. 977-979.

Research output: Contribution to journalArticle

Khriji, L & Gabbouj, M 1998, 'Median-rational hybrid filters for image restoration', Electronics Letters, vol. 34, no. 10, pp. 977-979.
Khriji, L. ; Gabbouj, M. / Median-rational hybrid filters for image restoration. In: Electronics Letters. 1998 ; Vol. 34, No. 10. pp. 977-979.
@article{e55f2e540a2c4f388a1ac6e4ed032578,
title = "Median-rational hybrid filters for image restoration",
abstract = "A new class of nonlinear filters is introduced, called median-rational hybrid filters (MRHFs), based on rational functions (RFs). The output is the result of rational operation taking into account three sub-functions. It is shown that every sub-function will preserve details within its sub-windows. The proposed MRHF filters have the inherent property that on smooth areas they provide good noise attenuation whereas on changing areas the noise attenuation is traded for good response to change. It is shown that a consistent reduction in the objectively measured mean absolute error and mean square error is obtained.",
author = "L. Khriji and M. Gabbouj",
year = "1998",
month = "5",
day = "14",
language = "English",
volume = "34",
pages = "977--979",
journal = "Electronics Letters",
issn = "0013-5194",
publisher = "Institution of Engineering and Technology",
number = "10",

}

TY - JOUR

T1 - Median-rational hybrid filters for image restoration

AU - Khriji, L.

AU - Gabbouj, M.

PY - 1998/5/14

Y1 - 1998/5/14

N2 - A new class of nonlinear filters is introduced, called median-rational hybrid filters (MRHFs), based on rational functions (RFs). The output is the result of rational operation taking into account three sub-functions. It is shown that every sub-function will preserve details within its sub-windows. The proposed MRHF filters have the inherent property that on smooth areas they provide good noise attenuation whereas on changing areas the noise attenuation is traded for good response to change. It is shown that a consistent reduction in the objectively measured mean absolute error and mean square error is obtained.

AB - A new class of nonlinear filters is introduced, called median-rational hybrid filters (MRHFs), based on rational functions (RFs). The output is the result of rational operation taking into account three sub-functions. It is shown that every sub-function will preserve details within its sub-windows. The proposed MRHF filters have the inherent property that on smooth areas they provide good noise attenuation whereas on changing areas the noise attenuation is traded for good response to change. It is shown that a consistent reduction in the objectively measured mean absolute error and mean square error is obtained.

UR - http://www.scopus.com/inward/record.url?scp=0032071869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032071869&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032071869

VL - 34

SP - 977

EP - 979

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

IS - 10

ER -