# RELATIVITY AND CONTRAST ENHANCEMENT

### Amir Kolaman, Amir Egozi, Hugo Guterman, B. L. Coleman

#### Abstract

In this paper we present a novel mathematical model for color image processing. The proposed algebraic structure is based on a special mapping of color vectors into the space of bi-quaternions (quaternions with complex coefficients) inspired by the theory of relativity. By this transformation, the space of color vectors remains closed under scalar multiplication and addition and limited by upper and lower bounds. The proposed approach is therefore termed Caged Image Processing (KIP). We demonstrate the usability of the new model by a color image enhancement algorithm. The proposed enhancement algorithm prevents information loss caused by over saturation of color, caused when using Logarithmic Image Processing (LIP) approach. Experimental results on synthetic and natural images comparing the proposed algorithm to the LIP based algorithm are provided.

#### References

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#### Paper Citation

#### in Harvard Style

Kolaman A., Egozi A., Guterman H. and L. Coleman B. (2011). **RELATIVITY AND CONTRAST ENHANCEMENT** . In *Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)* ISBN 978-989-8425-46-1, pages 94-99. DOI: 10.5220/0003379200940099

#### in Bibtex Style

@conference{imagapp11,

author={Amir Kolaman and Amir Egozi and Hugo Guterman and B. L. Coleman},

title={RELATIVITY AND CONTRAST ENHANCEMENT},

booktitle={Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)},

year={2011},

pages={94-99},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003379200940099},

isbn={978-989-8425-46-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)

TI - RELATIVITY AND CONTRAST ENHANCEMENT

SN - 978-989-8425-46-1

AU - Kolaman A.

AU - Egozi A.

AU - Guterman H.

AU - L. Coleman B.

PY - 2011

SP - 94

EP - 99

DO - 10.5220/0003379200940099