An iterative Clough-Tocher interpolant

G. Farin; P. Kashyap

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

  • Volume: 26, Issue: 1, page 201-209
  • ISSN: 0764-583X

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Farin, G., and Kashyap, P.. "An iterative Clough-Tocher interpolant." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.1 (1992): 201-209. <http://eudml.org/doc/193655>.

@article{Farin1992,
author = {Farin, G., Kashyap, P.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {computer aided geometric design; Clough-Tocher interpolants; finite element method; scattered data interpolation; iterative scheme; smoothness; method of reflection lines},
language = {eng},
number = {1},
pages = {201-209},
publisher = {Dunod},
title = {An iterative Clough-Tocher interpolant},
url = {http://eudml.org/doc/193655},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Farin, G.
AU - Kashyap, P.
TI - An iterative Clough-Tocher interpolant
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 1
SP - 201
EP - 209
LA - eng
KW - computer aided geometric design; Clough-Tocher interpolants; finite element method; scattered data interpolation; iterative scheme; smoothness; method of reflection lines
UR - http://eudml.org/doc/193655
ER -

References

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  1. [1] R. BARNHILL, Representations and approximation of surfaces. In J. R. Rice, editor, Mathematical Software III, Academic Press, 1977. Zbl0407.68030MR489081
  2. [2] R. BARNHILL and G. FARIN, C1 quintic interpolation over triangles : two explicit representations. Internat. J. Numer. Methods Engrg., 17, 1763-1778, 1981. Zbl0477.65009
  3. [3] R. BARNHILL, G. FARIN, L. FAYARD and H. HAGEN, Twists, curvatures, and surface interrogation. Comput. Aided Design, 20 (6), 341-346, 1988. Zbl0656.65026
  4. [4] W. BOEHM, G. FARIN and J. KAHMANN, A survey of curve and surface methods in CAGD. Comput. Aided Geom. Design, 1 (1), 1-60, 1984. Zbl0604.65005
  5. [5] R. CLOUGH and J. TOCHER, Finite element stiffness matrices for analysis of plates in blending. In Proceedings of Conference on Matrix Methods in Structural Analysis, 1965. 
  6. [6] G. FARIN, Curves and Surfaces for Computer Aided Geometric Design. Academic Press, 1988, second édition 1990. Zbl0694.68004MR974109
  7. [7] G. FARIN, A modified Clough-Tocher interpolant. Comput. Aided Geom. Design, 2 (1-3), 19-27, 1985. Zbl0586.65007
  8. [8] G. FARIN, Triangular Bernstein-Bézier patches. Comput. Aided Geom. Design, 3 (2), 83-128, 1986. MR867116
  9. [9] G. FARIN, N. REIN, N. SAPIDIS and A. WORSEY, Fairing cubic B-spline curves. Comput. Aided Geom. Design, 4 (1-2), 91-104, 1987. Zbl0644.65007MR898026
  10. [10] G. FARIN, N. SAPIDIS, Curvature and the fairness of curves and surfaces. IEEE Comput. Graph. Appl., 9 (2), 52-57, 1989. 
  11. [11] A. WORSEY, G. FARIN, Contouring a bivariate quadratic polynomial over a triangle. Comput. Aided Geom. Design, 7 (1-4), 337-352, 1990. Zbl0726.65014MR1074619
  12. [12] A. WORSEY, G. FARIN, An n-dimensional Clough-Tocher element. Constr. Approx., 3, 99-110, 1987. Zbl0631.41003MR889547

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