A Practical and Robust Method to Compute the Boundary of Three-dimensional Axis-aligned Boxes

Daniel López Monterde, Jonàs Martínez, Marc Vigo, Núria Pla

2014

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.

Paper Citation

in Harvard Style

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 - Volume 1: GRAPP, (VISIGRAPP 2014) ISBN 978-989-758-002-4, pages 34-42. DOI: 10.5220/0004682800340042

in Bibtex Style

@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 - Volume 1: GRAPP, (VISIGRAPP 2014)},
year={2014},
pages={34-42},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004682800340042},
isbn={978-989-758-002-4},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2014)
TI - A Practical and Robust Method to Compute the Boundary of Three-dimensional Axis-aligned Boxes
SN - 978-989-758-002-4
AU - López Monterde D.
AU - Martínez J.
AU - Vigo M.
AU - Pla N.
PY - 2014
SP - 34
EP - 42
DO - 10.5220/0004682800340042