# Vector directional filters-a new class of multichannel image processing filters

@article{Trahanias1993VectorDF, title={Vector directional filters-a new class of multichannel image processing filters}, author={Panos E. Trahanias and Anastasios N. Venetsanopoulos}, journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society}, year={1993}, volume={2 4}, pages={ 528-34 } }

Vector directional filters (VDF) for multichannel image processing are introduced and studied. These filters separate the processing of vector-valued signals into directional processing and magnitude processing. This provides a link between single-channel image processing where only magnitude processing is essentially performed, and multichannel image processing where both the direction and the magnitude of the image vectors play an important role in the resulting (processed) image. VDF find… Expand

#### 364 Citations

Color image processing using adaptive vector directional filters

- Mathematics
- 1998

A new class of filters for multichannel image processing is introduced and analyzed. This class constitutes a generalization of vector directional filters. The proposed filters use fuzzy… Expand

Fuzzy adaptive filters for multichannel image processing

- Mathematics, Computer Science
- Signal Process.
- 1996

The proposed methodology constitutes a unifying and powerful framework for multichannel image processing and uses fuzzy membership functions based on different distance measures among the image vectors to adapt to local data in the image. Expand

Multichannel filters for image processing

- Mathematics, Computer Science
- Signal Process. Image Commun.
- 1997

The proposed methodology constitutes a unifying and powerful framework for multichannel signal processing that uses fuzzy membership functions based on different distance measures among the image vectors to adapt to local data in the image. Expand

Generalized multichannel image-filtering structures

- Mathematics, Computer Science
- IEEE Trans. Image Process.
- 1997

A new filter structure, the directional-distance filters (DDF), is introduced, which combine both VDF and VMF in a novel way and are shown to be robust signal estimators under various noise distributions and compare favorably to other multichannel image processing filters. Expand

Color image processing using adaptive multichannel filters

- Computer Science, Medicine
- IEEE Trans. Image Process.
- 1997

The proposed adaptive methodology constitutes a unifying and powerful framework for multichannel signal processing and utilizes Bayesian techniques and nonparametric methodologies to adapt to local data in the color image. Expand

A new method for adaptive color image filtering

- Computer Science
- 2000

The proposed adaptive color image filter combines advantages of both nonlinear vector filters and linear filters, it attenuates noise and preserves edges and details very well, and Experimental results show that the proposed filter performs better than vector median filter, directional-distance filter, Directional-magnitude vector filter, adaptive nearest-neighbor filter, and a-trimmed mean filter. Expand

Color image filters: the vector directional approach

- Computer Science
- 1997

Two new adaptive vector directional filters are introduced for processing of color image data using directional information using fuzzy as well as nearest neigh- bor structures to determine the weights in the proposed adaptive filters. Expand

Color image noise removal algorithm utilizing hybrid vector filtering

- Computer Science
- 2008

This algorithm treats multichannel images as a vector class and takes both magnitude and phase angles of the pixel vectors into consideration, resulting in an efficient noise detector based on pixel vector angle statistics and impulse noise filtering with a hybrid of vector magnitude and vector angle function. Expand

Adaptive multichannel filters for color image processing

- Mathematics, Computer Science
- Other Conferences
- 1996

Simulation results indicate that the new family of adaptive nonlinear filters that use fuzzy membership functions based on different distance measures offer some flexibility and have excellent performance. Expand

An efficient directional distance filter for multi-band images

- Mathematics
- 2015 2nd International Conference on Signal Processing and Integrated Networks (SPIN)
- 2015

An efficient directional distance filter (EDDF) for multi-band color images is introduced to remove Gaussian and impulse noise. The proposed filter employs each pixel color component simultaneously… Expand

#### References

SHOWING 1-10 OF 16 REFERENCES

Multichannel image processing using vector-angle ranking

- Computer Science, Engineering
- Electronic Imaging
- 1993

These filters provide a link between single- channel image processing, where only magnitude processing is essentially performed, and multichannel image processing where both the direction and the magnitude of the image vectors play an important role in the resulting image. Expand

Detail-preserving ranked-order based filters for image processing

- Mathematics, Computer Science
- IEEE Trans. Acoust. Speech Signal Process.
- 1989

A quantitative and qualitative comparison of the multistage filters and of other efficient detail-preserving filters is presented and the comparisons are made using the mean-squared-error and themean-absolute-error criteria. Expand

Color edge detection using vector order statistics

- Mathematics, Computer Science
- IEEE Trans. Image Process.
- 1993

A method is proposed whereby a color image is treated as a vector field and the edge information carried directly by the vectors is exploited and the efficiency of the detector is demonstrated. Expand

Vector median filters

- Mathematics
- 1987

Abstract Median filters (MF) are used both to filter ‘salt and pepper’ noise from signals and images and in other signal processing applications. In this paper, an extension of the MF, the vector… Expand

Digital restoration of multi-channel images

- Computer Science
- ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing
- 1987

The Wiener solution of a multichannel restoration system is presented, which uses both the within-channel and between-channel correlation, hence the restored result is a better estimate than the one produced by independent channel restoration. Expand

Fundamentals of digital image processing

- Computer Science
- 1989

This chapter discusses two Dimensional Systems and Mathematical Preliminaries and their applications in Image Analysis and Computer Vision, as well as image reconstruction from Projections and image enhancement. Expand

Applications of Vector Fields to Image Processing

- Mathematics, Computer Science
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- 1983

The results make it theoretically possible to identify extremal edges of an intensity function f(x, y) of two variables by considering the gradient vector field V = ¿f, and establish the properties needed, and then use these properties in three ways. Expand

Nonlinear Digital Filters - Principles and Applications

- Mathematics, Computer Science
- The Springer International Series in Engineering and Computer Science
- 1990

This chapter discusses digital filters based on order statistics, Morphological image and signal processing, and Adaptive nonlinear filters. Expand

Morphological filters-Part I: Their set-theoretic analysis and relations to linear shift-invariant filters

- Mathematics, Computer Science
- IEEE Trans. Acoust. Speech Signal Process.
- 1987

The representation of classical linear filters in terms of morphological correlations, which involve supremum/infimum operations and additions, are introduced and demonstrate the power of mathematical morphology as a unifying approach to both linear and nonlinear signal-shaping strategies. Expand

Ranking in Rp and its use in multivariate image estimation

- Mathematics, Engineering
- Other Conferences
- 1990

In this paper, we consider the extension of ranking a set of elements in R to ranking a set of vectors in a p'th dimensional space Rp. In the approach presented here vector ranking reduces to… Expand