Parametric representation of quadric surfaces

W. Boehm; D. Hansford

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

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

How to cite

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Boehm, 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

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  1. [1] W. BOEHM, On Cubics : A Survey. Comput. Graph. Image Process. 19 (1982) pp. 201-226. Zbl0534.65095
  2. [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. [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. [4] G. FARIN, Curves and Surfaces for Computer Aided Geometric Design. Academic Press, 1988, 2nd Edition 1990. Zbl0694.68004MR974109
  5. [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. [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. [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. [8] J. NIEBUHR, B-patches on Quadrics. Dissertation TU Braunschweig, to be published in 1991 (in German). 
  9. [9] T. SEDERBERG, Implicit curves and surfaces. Ph. D. Thesis, Purdue, 1983. 
  10. [10] T. SEDERBERG and D. ANDERSON, Steiner surface patches. IEEE CG&A, May (1985). 
  11. [11] D. STRUIK, Lectures on Analytic and Projective Geometry. Addison-Wesley, 1953. Zbl0053.28701MR57552

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