# MULTIPLE VIEW GEOMETRY ESTIMATION BASED ON FINITE-MULTIPLE EVOLUTIONARY AGENTS FOR MEDICAL IMAGES

### Mingxing Hu, Karen McMenemy, Stuart Ferguson, Gordon Dodds, Baozong Yuan

#### 2005

#### Abstract

In this paper we present a new method for the robust estimation of the trifocal tensor, from a series of medical images, using finite-multiple evolutionary agents. Each agent denotes a subset of matching points for parameter estimation, and the dataset of correspondences is considered as the environment in which the agents inhabit, evolve and execute some evolutionary behavior. Survival-of-finite-fitness rule is employed to keep the dramatic increase of new agents within limits, and reduce the chance of reproducing unfit ones. Experiments show that our approach performs better than the typical methods in terms of accuracy and speed, and is robust to noise and outliers even when a large number of outliers are involved.

#### References

- Faugeras O. and Papadopoulo T., 1998. “A nonlinear method for estimating the projective geometry of 3 views”, in Proc. 6th International Conference on Computer Vision, pp.477-484.
- Hartley R. and Zisserman A., 2000. “Multiple view geometry in computer vision,” Cambridge University Press.
- Hartley R. and Vidal R., 2004. “The multibody trifocal tensor: motion segmentation from 3 perspective views”, in Proc. Computer Vision and Pattern Recognition, vol. 1, pp.769-775.
- Hu M.X. and Yuan B.Z., 2002. “Robust Estimation of Trifocal Tensor using Messy Genetic Algorithm”, in Proc. 16th International Conference on Pattern Recognition, vol. 4, pp.347-350.
- Hu M.X., Dodds G. and Yuan B.Z., 2004. “Evolutionary agents for epipolar geometry estimation”, in Proc. IEEE International Conference on Image Processing, 2004, vol. 2, 1843-1846.
- Liu J.M, Tang Y.Y. and Cao Y.C., 1997. “An evolutionary autonomous agents approach to image feature extraction”, IEEE Trans. On Evolutionary Computation, vol. 1, no. 2, pp. 141-158.
- Matei B., Georgescu B., Meer P., 2001. “A versatile method for trifocal tensor estimation,” in Proc. 8th International Conference on Computer Vision, vol. 2, pp.578-585.
- Quan L., 1994. “Invariants of 6 points from 3 uncalibrated images”, in Proc. European Conference on Computer Vision, vol. 2, pp.459-470.
- Shashua A., 1995. “Algebraic functions for recognition,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 8, pp. 779-789.
- Torr P. H. S., 1995. “Outlier detection and motion segmentation,” PhD thesis, University of Oxford.
- Torr P. H. S. and Zisserman A., 1997. “Robust parameterization and computation of the trifocal tensor,” Image and Vision Computing, vol. 15, pp. 591-605.
- Veenman C.J., Reinders M.J.T. and Backer E., 2003. “a cellular coevolutionary algorithm for image segmentation”, IEEE Trans. Image Processing, vol. 12, no. 3, pp. 304-316.

#### Paper Citation

#### in Harvard Style

Hu M., McMenemy K., Ferguson S., Dodds G. and Yuan B. (2005). **MULTIPLE VIEW GEOMETRY ESTIMATION BASED ON FINITE-MULTIPLE EVOLUTIONARY AGENTS FOR MEDICAL IMAGES** . In *Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,* ISBN 972-8865-30-9, pages 202-209. DOI: 10.5220/0001169802020209

#### in Bibtex Style

@conference{icinco05,

author={Mingxing Hu and Karen McMenemy and Stuart Ferguson and Gordon Dodds and Baozong Yuan},

title={MULTIPLE VIEW GEOMETRY ESTIMATION BASED ON FINITE-MULTIPLE EVOLUTIONARY AGENTS FOR MEDICAL IMAGES},

booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},

year={2005},

pages={202-209},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001169802020209},

isbn={972-8865-30-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,

TI - MULTIPLE VIEW GEOMETRY ESTIMATION BASED ON FINITE-MULTIPLE EVOLUTIONARY AGENTS FOR MEDICAL IMAGES

SN - 972-8865-30-9

AU - Hu M.

AU - McMenemy K.

AU - Ferguson S.

AU - Dodds G.

AU - Yuan B.

PY - 2005

SP - 202

EP - 209

DO - 10.5220/0001169802020209