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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.