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Bibliography

1
G. Farin.
Surfaces over Dirichlet tessellations.
Computer Aided Geometric Design, 7(1-4):281-292, 1990.

2
R. Sibson.
A vector identity for the Dirichlet tesselation.
Mathematical Proceedings of the Cambridge Philosophical Society, 87:151-155, 1980.

3
G. Strang and G. Fix.
An Analysis of the Finite Element Method.
Prentice-Hall, Englewood Cliffs, N.J., 1973.

4
P. Alfeld.
A bivariate $ {C}^2$ Clough-Tocher scheme.
Computer Aided Geometric Design, 1:257-267, 1984.

5
P. Alfeld.
A trivariate Clough-Tocher scheme for tetrahedral data.
Computer Aided Geometric Design, 1:169-181, 1984.

6
G. Farin.
A modified Clough-Tocher interpolant.
Computer Aided Geometric Design, 2:19-27, 1985.

7
A. J. Worsey and G. Farin.
An $ n$-dimensional Clough-Tocher interpolant.
Constructive Approximation, 3:99-110, 1987.

8
J. Braun and M. Sambridge.
A numerical method for solving partial differential equations on highly irregular evolving grids.
Nature, 376:655-660, 1995.

9
N. Sukumar, B. Moran, and T. Belytschko.
The natural element method in solid mechanics.
International Journal for Numerical Methods in Engineering, 43(5):839-887, 1998.

10
G. Farin.
Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide.
Academic Press, New York, second edition, 1990.

11
G. Farin.
Triangular Bernstein-Bézier patches.
Computer Aided Geometric Design, 3:83-127, 1986.

12
C. de Boor.
B-form basics.
In G. Farin, editor, Geometric Modeling: Algorithm and New Trends, pages 131-148, SIAM, Philadelphia, PA, 1987.

13
W. Böhm, G. Farin, and J. Kahmann.
A survey of curve and surface methods in CAGD.
Computer Aided Geometric Design, 1:1-60, 1984.

14
Charles T. Loop and Tony D. DeRose.
A multisided generalization of Bézier surfaces.
ACM Transactions on Graphics, 8(3):204-234, July 1989.

15
R. Sibson.
A brief description of natural neighbor interpolation.
In V. Barnett, editor, Interpreting Multivariate Data, pages 21-36, Chichester, 1981. John Wiley.

16
G. Farin.
Smooth interpolation to scattered 3D data.
In R. E. Barnhill and W. Böhm, editors, Surfaces in CAGD, pages 43-63, Amsterdam, 1983. North-Holland.



N. Sukumar