# ESTIMATION OF ASYMMETRY IN 3D FACE MODELS

### Natalya Dyshkant, Leonid Mestetskiy

#### Abstract

This paper proposes a new estimation of facial asymmetry in 3D face models of humans and an algorithm to compute it. We consider models derived by 3D scanning method. Each model is given as a cloud of points in 3D space and can be considered as a discrete single-valued function of two variables. We present an approach for constructing a disparity measure between original face model and its reflected model. Main stages of proposed algorithm are construction Delaunay triangulations of two models and general Delaunay triangulation, function interpolation on basis of triangulations localization in each other and comparison of functions on separate triangles of general triangulation. Further using elementary manipulations of reflected model algorithm searches such position that two models constitute a maximum matching so that the corresponding disparity measure will be minimal. We carry out computing experiments on database consisting of about 200 face models. These experiments have indicated that the proposed estimation is stable for different models of one and the same person.

#### References

- Knizhnikov, Y. F., H. R. N. (2005). Application of digital photogrammetry for diagnosing pathology of stereoscopic vision (in Russian). Society for Industrial and Applied Mathematics.
- Liu, Y., P. J. (2003). A quantified study of facial asymmetry in 3d faces. In Robotics Institute, Carnegie Mellon University, CMU-RI-TR-03-21. Pittsburgh, PA.
- Mestetskiy, L., T. E. (2004). Delaunay triangulation: recursion without space division of vertices (in russian). In Graphicon 2004, International Conference on computer graphics. Moscow.
- Mitra, S., L. N. (2007). Understanding the role of facial asymmetry in human face identification. In Statistics and Computing, Vol. 17, January, 2007, pp. 57 - 70.
- Murynin, A. B., K. V. F. (2004). Estimation of bilateral facial symmetry breaking using a stereoscopic computer vision system. In Graphicon 2004, International Conference on computer graphics. Moscow.
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#### Paper Citation

#### in Harvard Style

Dyshkant N. and Mestetskiy L. (2009). **ESTIMATION OF ASYMMETRY IN 3D FACE MODELS** . In *Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009)* ISBN 978-989-8111-69-2, pages 402-405. DOI: 10.5220/0001793804020405

#### in Bibtex Style

@conference{visapp09,

author={Natalya Dyshkant and Leonid Mestetskiy},

title={ESTIMATION OF ASYMMETRY IN 3D FACE MODELS},

booktitle={Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009)},

year={2009},

pages={402-405},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001793804020405},

isbn={978-989-8111-69-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009)

TI - ESTIMATION OF ASYMMETRY IN 3D FACE MODELS

SN - 978-989-8111-69-2

AU - Dyshkant N.

AU - Mestetskiy L.

PY - 2009

SP - 402

EP - 405

DO - 10.5220/0001793804020405