### Abstract

This paper describes a new class of nonlinear filters called the Generalized Directional Distance Rational Hybrid Filters (GDDRHF) for multi-spectral image processing. The application at hand is color image filtering problems. The GDDRHF filter is a two-stage filter, which exploits the features of a new directional distance filter, where the temporal information related to the central sample is expressed by their weight, and those of the rational operator. This weight is incorporated to a sum of vector distances and vector angles, so that generalized directional distance rational hybrid filters will provide larger design possibility than standard vector directional distance rational hybrid filters VDDRHF. Thus, the VDDRHF is a special case of the GDDRHF. The GDDRHF includes other special cases such as the vector median rational hybrid filters (VMRHF), the vector directional distance rational hybrid filters (VDDRHF), the center weighted vector median rational hybrid filters (CWVMRHF), and the center weighted directional distance rational hybrid filters (CWDDRHF). Experimental results show that the new GDDRHF outperforms a number of widely known nonlinear filters for multi-spectral image processing with respect to all criteria used.

Original language | English |
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Pages (from-to) | 558-562 |

Number of pages | 5 |

Journal | Proceedings of the IEEE International Conference on Systems, Man and Cybernetics |

Volume | 2 |

Publication status | Published - 2002 |

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### ASJC Scopus subject areas

- Hardware and Architecture
- Control and Systems Engineering

### Cite this

**Color image processing using a generalized directional distance-rational hybrid filters.** / Khriji, Lazhar; Gabbouj, Moncef.

Research output: Contribution to journal › Article

*Proceedings of the IEEE International Conference on Systems, Man and Cybernetics*, vol. 2, pp. 558-562.

}

TY - JOUR

T1 - Color image processing using a generalized directional distance-rational hybrid filters

AU - Khriji, Lazhar

AU - Gabbouj, Moncef

PY - 2002

Y1 - 2002

N2 - This paper describes a new class of nonlinear filters called the Generalized Directional Distance Rational Hybrid Filters (GDDRHF) for multi-spectral image processing. The application at hand is color image filtering problems. The GDDRHF filter is a two-stage filter, which exploits the features of a new directional distance filter, where the temporal information related to the central sample is expressed by their weight, and those of the rational operator. This weight is incorporated to a sum of vector distances and vector angles, so that generalized directional distance rational hybrid filters will provide larger design possibility than standard vector directional distance rational hybrid filters VDDRHF. Thus, the VDDRHF is a special case of the GDDRHF. The GDDRHF includes other special cases such as the vector median rational hybrid filters (VMRHF), the vector directional distance rational hybrid filters (VDDRHF), the center weighted vector median rational hybrid filters (CWVMRHF), and the center weighted directional distance rational hybrid filters (CWDDRHF). Experimental results show that the new GDDRHF outperforms a number of widely known nonlinear filters for multi-spectral image processing with respect to all criteria used.

AB - This paper describes a new class of nonlinear filters called the Generalized Directional Distance Rational Hybrid Filters (GDDRHF) for multi-spectral image processing. The application at hand is color image filtering problems. The GDDRHF filter is a two-stage filter, which exploits the features of a new directional distance filter, where the temporal information related to the central sample is expressed by their weight, and those of the rational operator. This weight is incorporated to a sum of vector distances and vector angles, so that generalized directional distance rational hybrid filters will provide larger design possibility than standard vector directional distance rational hybrid filters VDDRHF. Thus, the VDDRHF is a special case of the GDDRHF. The GDDRHF includes other special cases such as the vector median rational hybrid filters (VMRHF), the vector directional distance rational hybrid filters (VDDRHF), the center weighted vector median rational hybrid filters (CWVMRHF), and the center weighted directional distance rational hybrid filters (CWDDRHF). Experimental results show that the new GDDRHF outperforms a number of widely known nonlinear filters for multi-spectral image processing with respect to all criteria used.

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UR - http://www.scopus.com/inward/citedby.url?scp=0036973982&partnerID=8YFLogxK

M3 - Article

VL - 2

SP - 558

EP - 562

JO - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

JF - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

SN - 0884-3627

ER -