### 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 language | English |
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Pages (from-to) | 186-190 |

Number of pages | 5 |

Journal | IEEE Signal Processing Letters |

Volume | 6 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering

### Cite this

*IEEE Signal Processing Letters*,

*6*(7), 186-190. https://doi.org/10.1109/97.769365

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

Research output: Contribution to journal › Article

*IEEE Signal Processing Letters*, vol. 6, no. 7, pp. 186-190. https://doi.org/10.1109/97.769365

}

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.

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

U2 - 10.1109/97.769365

DO - 10.1109/97.769365

M3 - Article

AN - SCOPUS:0032653389

VL - 6

SP - 186

EP - 190

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

IS - 7

ER -