Polyline Simplification with Predefined Edge Directions by Mixed Integer Linear Programs

Steffen Goebbels; Jochen Rethmann

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Paper

Polyline Simplification with Predefined Edge Directions by Mixed Integer Linear Programs

Topics: 3D Model Repair and scene reconstruction; Fundamental Methods and Algorithms; Modeling and Algorithms; Scene and Object Modeling

In Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1 , HUCAPP and IVAPP: , 203-210, 2024 , Rome, Italy

Authors: Steffen Goebbels and Jochen Rethmann

Affiliation: Institute for Pattern Recognition, Faculty of Electrical Engineering and Computer Science, Niederrhein University of Applied Sciences, Reinarzstr. 49, 47805 Krefeld, Germany

Keyword(s): Contour Simplification, Polyline, Mixed Integer Linear Program, 3D City Model.

Abstract: Mixed integer linear programs are presented that simplify polylines such that edges follow only some predefined directions from a given set. Under this constraint, solutions are computed that are closest to the given vertices, or only close to the original data, but with a minimum number of edges, or with a minimum length. The algorithms are applied to 3D building modeling from point clouds. Boundaries of roof facets (roof polygons) are simplified by considering directions of roof plane gradients and intersection lines between roof planes.

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Paper citation in several formats:

Goebbels, S. and Rethmann, J. (2024). Polyline Simplification with Predefined Edge Directions by Mixed Integer Linear Programs. In Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP; ISBN 978-989-758-679-8; ISSN 2184-4321, SciTePress, pages 203-210. DOI: 10.5220/0012263600003660

@conference{grapp24,
author={Steffen Goebbels and Jochen Rethmann},
title={Polyline Simplification with Predefined Edge Directions by Mixed Integer Linear Programs},
booktitle={Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP},
year={2024},
pages={203-210},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012263600003660},
isbn={978-989-758-679-8},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP
TI - Polyline Simplification with Predefined Edge Directions by Mixed Integer Linear Programs
SN - 978-989-758-679-8
IS - 2184-4321
AU - Goebbels, S.
AU - Rethmann, J.
PY - 2024
SP - 203
EP - 210
DO - 10.5220/0012263600003660
PB - SciTePress