# SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION

### Eng-Wee Chionh

#### 2008

#### 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.

#### References

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- Katz, S. and Sederberg, T. W. (1988). Genus of the intersection curve of two rational surface patches. Computer Aided Geometric Design, 5:253-258.
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- Sederberg, T. W. and Nishita, T. (1991). Geometric hermite approximation of surface patch intersection curves. Computer Aided Geometric Design, 8:97-114.
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#### Paper Citation

#### in Harvard Style

Chionh E. (2008). **SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION** . In *Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)* ISBN 978-989-8111-20-3, pages 23-30. DOI: 10.5220/0001095100230030

#### in Bibtex Style

@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 - Volume 1: GRAPP, (VISIGRAPP 2008)},

year={2008},

pages={23-30},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001095100230030},

isbn={978-989-8111-20-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)

TI - SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION

SN - 978-989-8111-20-3

AU - Chionh E.

PY - 2008

SP - 23

EP - 30

DO - 10.5220/0001095100230030