Vector median-rational hybrid filters for multichannel image processing

Lazhar Khriji, Moncef Gabbouj

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

In this letter, a new class of nonlinear filters called vector median-rational hybrid filters (VMRHF's) for multispectral image processing is introduced and applied to the color image filtering problem. These filters are based on rational functions (RF's) offering a number of advantages. First, a rational function is a universal approximator and a good extrapolator. Second, it can be trained by a linear adaptive algorithm. Third, it produces the best approximation (w.r.t. a given cost function) for some specific functions. The output is the result of a vector rational operation over the output of three subfilters, such as two vector median (VM) subfilters and one center weighted vector median filter (CWVMF). These filters exhibit desirable properties, such as edge and details preservation and accurate chromaticity estimation.

Original languageEnglish
Pages (from-to)186-190
Number of pages5
JournalIEEE Signal Processing Letters
Volume6
Issue number7
DOIs
Publication statusPublished - 1999

Fingerprint

Image Processing
Image processing
Filter
Rational functions
Rational function
Image Filtering
Median Filter
Median filters
Multispectral Images
Nonlinear Filters
Linear Algorithm
Output
Color Image
Adaptive algorithms
Adaptive Algorithm
Best Approximation
Cost functions
Preservation
Cost Function
Color

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Vector median-rational hybrid filters for multichannel image processing. / Khriji, Lazhar; Gabbouj, Moncef.

In: IEEE Signal Processing Letters, Vol. 6, No. 7, 1999, p. 186-190.

Research output: Contribution to journalArticle

@article{fc6fb4c9353b4c8e94f0ce5b3ecdff55,
title = "Vector median-rational hybrid filters for multichannel image processing",
abstract = "In this letter, a new class of nonlinear filters called vector median-rational hybrid filters (VMRHF's) for multispectral image processing is introduced and applied to the color image filtering problem. These filters are based on rational functions (RF's) offering a number of advantages. First, a rational function is a universal approximator and a good extrapolator. Second, it can be trained by a linear adaptive algorithm. Third, it produces the best approximation (w.r.t. a given cost function) for some specific functions. The output is the result of a vector rational operation over the output of three subfilters, such as two vector median (VM) subfilters and one center weighted vector median filter (CWVMF). These filters exhibit desirable properties, such as edge and details preservation and accurate chromaticity estimation.",
author = "Lazhar Khriji and Moncef Gabbouj",
year = "1999",
doi = "10.1109/97.769365",
language = "English",
volume = "6",
pages = "186--190",
journal = "IEEE Signal Processing Letters",
issn = "1070-9908",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "7",

}

TY - JOUR

T1 - Vector median-rational hybrid filters for multichannel image processing

AU - Khriji, Lazhar

AU - Gabbouj, Moncef

PY - 1999

Y1 - 1999

N2 - In this letter, a new class of nonlinear filters called vector median-rational hybrid filters (VMRHF's) for multispectral image processing is introduced and applied to the color image filtering problem. These filters are based on rational functions (RF's) offering a number of advantages. First, a rational function is a universal approximator and a good extrapolator. Second, it can be trained by a linear adaptive algorithm. Third, it produces the best approximation (w.r.t. a given cost function) for some specific functions. The output is the result of a vector rational operation over the output of three subfilters, such as two vector median (VM) subfilters and one center weighted vector median filter (CWVMF). These filters exhibit desirable properties, such as edge and details preservation and accurate chromaticity estimation.

AB - In this letter, a new class of nonlinear filters called vector median-rational hybrid filters (VMRHF's) for multispectral image processing is introduced and applied to the color image filtering problem. These filters are based on rational functions (RF's) offering a number of advantages. First, a rational function is a universal approximator and a good extrapolator. Second, it can be trained by a linear adaptive algorithm. Third, it produces the best approximation (w.r.t. a given cost function) for some specific functions. The output is the result of a vector rational operation over the output of three subfilters, such as two vector median (VM) subfilters and one center weighted vector median filter (CWVMF). These filters exhibit desirable properties, such as edge and details preservation and accurate chromaticity estimation.

UR - http://www.scopus.com/inward/record.url?scp=0032653389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032653389&partnerID=8YFLogxK

U2 - 10.1109/97.769365

DO - 10.1109/97.769365

M3 - Article

VL - 6

SP - 186

EP - 190

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

IS - 7

ER -