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# Advancement in Color Image Processing using Geometric Algebra

Mishra, Biswajit, Wilson, Peter and Al-Hashimi, Bashir (2008) Advancement in Color Image Processing using Geometric Algebra At EUSIPCO.

Record type: Conference or Workshop Item (Paper)

## 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.

PDF eusipco_mishra.pdf - Other

Published date: August 2008
Venue - Dates: EUSIPCO, 2008-08-01
Organisations: Electronic & Software Systems, EEE

## Identifiers

Local EPrints ID: 266670
URI: http://eprints.soton.ac.uk/id/eprint/266670
PURE UUID: e7ac220e-3af4-4a56-9a0e-3a124eed0116

## Catalogue record

Date deposited: 15 Sep 2008 20:18

## Contributors

Author: Biswajit Mishra
Author: Peter Wilson