SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION

Eng-Wee Chionh

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Paper

SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION

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

In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 0VISIGRAPP, 23-30, 2008 , Funchal, Madeira, Portugal

Author: Eng-Wee Chionh

Affiliation: School of Computing, National University of Singapore, Singapore

Keyword(s): Hermite interpolation, surface-surface intersection.

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

Abstract: A fast heuristic to approximate the intersection curve of two surface patches was originally proposed by Sederberg and Nishita. The patches are rationally parametrized and they cut each other transversely. This paper reports a simple generalization that greatly improves the accuracy of the original heuristic. The generalization either avoids or attenuates the approximation error. Avoidance is achieved when the improved heuristic produces the exact intersection curve; attenuation is accomplished with an aggregate square distance formula guiding the selection of a generalized constraint for a better fit.

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Paper citation in several formats:

Chionh, E. (2008). SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION. In Proceedings of the Third International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2008) - GRAPP; ISBN 978-989-8111-20-3; ISSN 2184-4321, SciTePress, pages 23-30. DOI: 10.5220/0001095100230030

@conference{grapp08,
author={Eng{-}Wee Chionh.},
title={SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2008) - GRAPP},
year={2008},
pages={23-30},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001095100230030},
isbn={978-989-8111-20-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2008) - GRAPP
TI - SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION
SN - 978-989-8111-20-3
IS - 2184-4321
AU - Chionh, E.
PY - 2008
SP - 23
EP - 30
DO - 10.5220/0001095100230030
PB - SciTePress