# Point Cloud Structural Parts Extraction based on Segmentation Energy Minimization

### Bruno Cafaro, Iman Azimi, Valsamis Ntouskos, Fiora Pirri, Manuel Ruiz

#### Abstract

In this work we consider 3D point sets, which in a typical setting represent unorganized point clouds. Segmentation of these point sets requires first to single out structural components of the unknown surface discretely approximated by the point cloud. Structural components, in turn, are surface patches approximating unknown parts of elementary geometric structures, such as planes, ellipsoids, spheres and so on. The approach used is based on level set methods computing the moving front of the surface and tracing the interfaces between different parts of it. Level set methods are widely recognized to be one of the most efficient methods to segment both 2D images and 3D medical images. Level set methods for 3D segmentation have recently received an increasing interest. We contribute by proposing a novel approach for raw point sets. Based on the motion and distance functions of the level set we introduce four energy minimization models, which are used for segmentation, by considering an equal number of distance functions specified by geometric features. Finally we evaluate the proposed algorithm on point sets simulating unorganized point clouds.

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#### Paper Citation

#### in Harvard Style

Cafaro B., Azimi I., Ntouskos V., Pirri F. and Ruiz M. (2015). **Point Cloud Structural Parts Extraction based on Segmentation Energy Minimization** . In *Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)* ISBN 978-989-758-087-1, pages 150-157. DOI: 10.5220/0005309301500157

#### in Bibtex Style

@conference{grapp15,

author={Bruno Cafaro and Iman Azimi and Valsamis Ntouskos and Fiora Pirri and Manuel Ruiz},

title={Point Cloud Structural Parts Extraction based on Segmentation Energy Minimization},

booktitle={Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)},

year={2015},

pages={150-157},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005309301500157},

isbn={978-989-758-087-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)

TI - Point Cloud Structural Parts Extraction based on Segmentation Energy Minimization

SN - 978-989-758-087-1

AU - Cafaro B.

AU - Azimi I.

AU - Ntouskos V.

AU - Pirri F.

AU - Ruiz M.

PY - 2015

SP - 150

EP - 157

DO - 10.5220/0005309301500157