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Authors: Daniel López Monterde ; Jonàs Martínez ; Marc Vigo and Núria Pla

Affiliation: Universitat Politècnica de Catalunya, Spain

Keyword(s): Boundary representation, Union of boxes, Orthogonal polyhedra.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Fundamental Methods and Algorithms ; Geometric Computing ; Geometry and Modeling

Abstract: The union of axis-aligned boxes results in a constrained structure that is advantageous for solving certain geometrical problems. A widely used scheme for solid modelling systems is the boundary representation (Brep). We present a method to obtain the B-rep of a union of axis-aligned boxes. Our method computes all boundary vertices, and additional information for each vertex that allows us to apply already existing methods to extract the B-rep. It is based on dividing the three-dimensional problem into two-dimensional boundary computations and combining their results. The method can deal with all geometrical degeneracies that may arise. Experimental results prove that our approach outperforms existing general methods, both in efficiency and robustness.

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Paper citation in several formats:
López Monterde, D.; Martínez, J.; Vigo, M. and Pla, N. (2014). A Practical and Robust Method to Compute the Boundary of Three-dimensional Axis-aligned Boxes. 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 34-42. DOI: 10.5220/0004682800340042

@conference{grapp14,
author={Daniel {López Monterde}. and Jonàs Martínez. and Marc Vigo. and Núria Pla.},
title={A Practical and Robust Method to Compute the Boundary of Three-dimensional Axis-aligned Boxes},
booktitle={Proceedings of the 9th International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2014) - GRAPP},
year={2014},
pages={34-42},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004682800340042},
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 - A Practical and Robust Method to Compute the Boundary of Three-dimensional Axis-aligned Boxes
SN - 978-989-758-002-4
IS - 2184-4321
AU - López Monterde, D.
AU - Martínez, J.
AU - Vigo, M.
AU - Pla, N.
PY - 2014
SP - 34
EP - 42
DO - 10.5220/0004682800340042
PB - SciTePress

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