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Authors: Věra Skorkovská 1 ; Ivana Kolingerová 1 and Bedrich Benes 2

Affiliations: 1 University of West Bohemia, Czech Republic ; 2 Purdue University, United States

ISBN: 978-989-758-287-5

Keyword(s): Triangular Mesh, Mesh Repair, Intersections, Neighbor Tracing.

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

Abstract: Triangular meshes are important in many fields in both basic and applied research that rely on their correctness and accuracy. Many operations with meshes can lead to undesirable situations and the resulting models can be damaged and further unusable. Self-intersection and mesh-to-mesh intersection are types of operations that are often present and can cause such problems. We propose an accurate geometry-based method for local repair of intersecting meshes. The state-of-the-art methods either solve the problem inaccurately, or use methods such as arbitrary precision arithmetic or virtual perturbation to deal with the troublesome boundary cases. Our method represents a robust way to repair intersecting meshes accurately without the need to manipulate with the input data or to employ arbitrary precision arithmetic. The correct solution is obtained through a careful classification of the cases that could result from a numerical imprecision of the floating point arithmetic.

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Paper citation in several formats:
Skorkovská V., Kolingerová I. and Benes B. (2018). A Simple and Robust Approach to Computation of Meshes Intersection.In Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP, ISBN 978-989-758-287-5, pages 175-182. DOI: 10.5220/0006538401750182

@conference{grapp18,
author={Věra Skorkovská and Ivana Kolingerová and Bedrich Benes},
title={A Simple and Robust Approach to Computation of Meshes Intersection},
booktitle={Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP,},
year={2018},
pages={175-182},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006538401750182},
isbn={978-989-758-287-5},
}

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP,
TI - A Simple and Robust Approach to Computation of Meshes Intersection
SN - 978-989-758-287-5
AU - Skorkovská V.
AU - Kolingerová I.
AU - Benes B.
PY - 2018
SP - 175
EP - 182
DO - 10.5220/0006538401750182

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