### Abstract

Original language | English |
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Title of host publication | 16th European Signal Processing Conference (EUSIPCO), 2008 |

Publisher | IEEE |

Pages | 1-5 |

Publication status | Published - 1 Aug 2008 |

Event | 16th European Signal Processing Conference, 2008 - Lausanne, Switzerland Duration: 25 Aug 2008 → 29 Aug 2008 |

### Conference

Conference | 16th European Signal Processing Conference, 2008 |
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Country | Switzerland |

City | Lausanne |

Period | 25/08/08 → 29/08/08 |

### Fingerprint

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*16th European Signal Processing Conference (EUSIPCO), 2008.*IEEE, pp. 1-5, 16th European Signal Processing Conference, 2008, Lausanne, Switzerland, 25/08/08.

}

TY - GEN

T1 - Advancement in color image processing using geometric algebra

AU - Mishra, B.

AU - Wilson, P.

AU - Al-Hashimi, B. M.

PY - 2008/8/1

Y1 - 2008/8/1

N2 - 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.

AB - 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.

UR - http://ieeexplore.ieee.org

UR - http://eprints.soton.ac.uk/266670/

M3 - Conference contribution

SP - 1

EP - 5

BT - 16th European Signal Processing Conference (EUSIPCO), 2008

PB - IEEE

ER -