Low-Discrepancy Distribution of Points on Arbitrary Polygonal 3D-surfaces

Alena Bulyha; Wolfgang Herzner; Markus Murschitz; Oliver Zendel

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Paper

Low-Discrepancy Distribution of Points on Arbitrary Polygonal 3D-surfaces

Topics: Fundamental Methods and Algorithms; Geometric Computing; Surface Modeling

In Proceedings of the 9th International Conference on Computer Graphics Theory and Applications - Volume 0VISIGRAPP, 79-87, 2014 , Lisbon, Portugal

Authors: Alena Bulyha ; Wolfgang Herzner ; Markus Murschitz and Oliver Zendel

Affiliation: AIT Austrian Institute of Sciences, Austria

Keyword(s): 3D-surfaces, Geometric Discrepancy, Halton Sequences, Hammersley Sequences, Low-Discrepancy, Sampling, Segmentation, Uniform Distribution, Unfolding, Wrapping.

Abstract: This paper presents a technique for automatic distribution of points on 3D-surfaces that are defined as meshes of polygons (usually triangles) such that the distribution has a low discrepancy. The work is motivated by the quest for representing arbitrary 3D-objects by a minimal number of surface points such that different views and arbitrary occlusions of objects can be effectively distinguished by simply using the visible surface points. The approach exploits low-discrepancy sequences on the unit square such as those proposed by Hammersley or Halton.

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Paper citation in several formats:

Bulyha, A.; Herzner, W.; Murschitz, M. and Zendel, O. (2014). Low-Discrepancy Distribution of Points on Arbitrary Polygonal 3D-surfaces. In Proceedings of the 9th International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2014) - GRAPP; ISBN 978-989-758-002-4; ISSN 2184-4321, SciTePress, pages 79-87. DOI: 10.5220/0004659900790087

@conference{grapp14,
author={Alena Bulyha. and Wolfgang Herzner. and Markus Murschitz. and Oliver Zendel.},
title={Low-Discrepancy Distribution of Points on Arbitrary Polygonal 3D-surfaces},
booktitle={Proceedings of the 9th International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2014) - GRAPP},
year={2014},
pages={79-87},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004659900790087},
isbn={978-989-758-002-4},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 9th International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2014) - GRAPP
TI - Low-Discrepancy Distribution of Points on Arbitrary Polygonal 3D-surfaces
SN - 978-989-758-002-4
IS - 2184-4321
AU - Bulyha, A.
AU - Herzner, W.
AU - Murschitz, M.
AU - Zendel, O.
PY - 2014
SP - 79
EP - 87
DO - 10.5220/0004659900790087
PB - SciTePress