# Parametric representation of quadric surfaces

- Volume: 26, Issue: 1, page 191-200
- ISSN: 0764-583X

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top## How to cite

topBoehm, W., and Hansford, D.. "Parametric representation of quadric surfaces." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.1 (1992): 191-200. <http://eudml.org/doc/193653>.

@article{Boehm1992,

author = {Boehm, W., Hansford, D.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {quadric surfaces; quadrics; quadratic Bézier patches; geometric modeling},

language = {eng},

number = {1},

pages = {191-200},

publisher = {Dunod},

title = {Parametric representation of quadric surfaces},

url = {http://eudml.org/doc/193653},

volume = {26},

year = {1992},

}

TY - JOUR

AU - Boehm, W.

AU - Hansford, D.

TI - Parametric representation of quadric surfaces

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 1992

PB - Dunod

VL - 26

IS - 1

SP - 191

EP - 200

LA - eng

KW - quadric surfaces; quadrics; quadratic Bézier patches; geometric modeling

UR - http://eudml.org/doc/193653

ER -

## References

top- [1] W. BOEHM, On Cubics : A Survey. Comput. Graph. Image Process. 19 (1982) pp. 201-226. Zbl0534.65095
- [2] W. BOEHM, G. FARIN and J. KAHMANN, A survey of curve and surface methods in CAGD. Comput. Aided Geom. Design, 1 (1984) pp. 1-60. Zbl0604.65005
- [3] W. BOEHM and D. HANSFORD, Bézier Patches on Quadrics, in G. Farin, editor, NURBS for Curve and Surface Design, SIAM, Philadelphia (1991) pp. 1-14. Zbl0760.68087MR1133460
- [4] G. FARIN, Curves and Surfaces for Computer Aided Geometric Design. Academic Press, 1988, 2nd Edition 1990. Zbl0694.68004MR974109
- [5] G. FARIN, B. PIPER and A. WORSEY, The octant of a sphere as a non-degenerate triangular Bézier patch. Comput. Aided Geom. Design, 4 (1987) pp. 329-332. Zbl0646.41011MR937371
- [6] G. GEISE and U. LANGBECKER, Finite quadrics segments with four conic boundary curves. Comput. Aided Geom. Design 7 (1990) pp. 141-150. Zbl0716.65012MR1074604
- [7] E. LEE, The rational Bézier representation for conics, in G. Farin, editor, Geometric Modeling : Algorithms and New Trends, SIAM, Philadelphia (1987) pp. 3-19. MR936441
- [8] J. NIEBUHR, B-patches on Quadrics. Dissertation TU Braunschweig, to be published in 1991 (in German).
- [9] T. SEDERBERG, Implicit curves and surfaces. Ph. D. Thesis, Purdue, 1983.
- [10] T. SEDERBERG and D. ANDERSON, Steiner surface patches. IEEE CG&A, May (1985).
- [11] D. STRUIK, Lectures on Analytic and Projective Geometry. Addison-Wesley, 1953. Zbl0053.28701MR57552

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