Advancement in color image processing using geometric algebra

B. Mishra, P. Wilson, B. M. Al-Hashimi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within n dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and image representation. In this context the R, G, B color channels are not defined separately but as a single entity. As GA provides a rich set of operations, the signal and image processing operations becomes straightforward and the algorithms intuitive. From the experiments described in this paper, it is also possible to conclude that the convolution operation with the rotor masks within GA belong to a class of linear vector filters and can be applied to image or speech signals. The usefulness of the introduced approach has been demonstrated by analyzing and implementing two different types of edge detection schemes.
Original languageEnglish
Title of host publication16th European Signal Processing Conference (EUSIPCO), 2008
PublisherIEEE
Pages1-5
Publication statusPublished - 1 Aug 2008
Event16th European Signal Processing Conference, 2008 - Lausanne, Switzerland
Duration: 25 Aug 200829 Aug 2008

Conference

Conference16th European Signal Processing Conference, 2008
CountrySwitzerland
CityLausanne
Period25/08/0829/08/08

Fingerprint

Color image processing
Algebra
Edge detection
Convolution
Masks
Signal processing
Image processing
Rotors
Color
Experiments

Cite this

Mishra, B., Wilson, P., & Al-Hashimi, B. M. (2008). Advancement in color image processing using geometric algebra. In 16th European Signal Processing Conference (EUSIPCO), 2008 (pp. 1-5). IEEE.

Advancement in color image processing using geometric algebra. / Mishra, B.; Wilson, P.; Al-Hashimi, B. M.

16th European Signal Processing Conference (EUSIPCO), 2008. IEEE, 2008. p. 1-5.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mishra, B, Wilson, P & Al-Hashimi, BM 2008, Advancement in color image processing using geometric algebra. in 16th European Signal Processing Conference (EUSIPCO), 2008. IEEE, pp. 1-5, 16th European Signal Processing Conference, 2008, Lausanne, Switzerland, 25/08/08.
Mishra B, Wilson P, Al-Hashimi BM. Advancement in color image processing using geometric algebra. In 16th European Signal Processing Conference (EUSIPCO), 2008. IEEE. 2008. p. 1-5
Mishra, B. ; Wilson, P. ; Al-Hashimi, B. M. / Advancement in color image processing using geometric algebra. 16th European Signal Processing Conference (EUSIPCO), 2008. IEEE, 2008. pp. 1-5
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