# INTELLIGENT TOPOLOGY PRESERVING GEOMETRIC DEFORMABLE MODEL

### Renato Dedić, Madjid Allili

#### Abstract

Geometric deformable models (GDM) using the level sets method provide a very efficient framework for image segmentation. However, the segmentation results provided by these models are dependent on the contour initialization. Moreover, sometimes it is necessary to prevent the contours from splitting and merging in order to preserve topology. In this work, we propose a new method that can detect the correct boundary information of segmented objects while preserving topology when needed. We adapt the stoping function g in a way that allows us to control the contours’ topology. By analyzing the region where the edges of the contours are close we decide if the contours should merge, split or remain the way they are. This new formulation maintains the advantages of standard (GDM). Moreover,the topology-preserving constraint is enforced efficiently therefore, the new algorithm is only slightly computationally slower over standard (GDM).

Download#### Paper Citation

#### in Harvard Style

Dedić R. and Allili M. (2007). **INTELLIGENT TOPOLOGY PRESERVING GEOMETRIC DEFORMABLE MODEL** . In *Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,* ISBN 978-972-8865-73-3, pages 322-327. DOI: 10.5220/0002057403220327

#### in Bibtex Style

@conference{visapp07,

author={Renato Dedić and Madjid Allili},

title={INTELLIGENT TOPOLOGY PRESERVING GEOMETRIC DEFORMABLE MODEL},

booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},

year={2007},

pages={322-327},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002057403220327},

isbn={978-972-8865-73-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,

TI - INTELLIGENT TOPOLOGY PRESERVING GEOMETRIC DEFORMABLE MODEL

SN - 978-972-8865-73-3

AU - Dedić R.

AU - Allili M.

PY - 2007

SP - 322

EP - 327

DO - 10.5220/0002057403220327