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A Survey of the Representation and Design of Surfaces
October 1983 (vol. 3 no. 7)
pp. 9-16
Robert Barnhill, University of Utah

1. R. E.Barnhill and S. E.Stead, R. E.Barnhill, and G. M.Nielson, “Multistage Trivariate Surfaces,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
2. R. E.Barnhill and F. F.Little, R. E.Barnhill, and G. M.Nielson, “Three- and Four-Dimensional Surfaces,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
3. S. E.Stead, R. E.Barnhill, and G. M.Nielson, “Estimation of Gradients from Scattered Data,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
4. R. L.Hardy, “Multiquadric Equations of Topography and Other Irregular Surfaces,” J. Geophysical Res. Vol. 76, No. 8, pp. 1905-1915 1971
5. F. F.Little, R. E.Barnhill, and W.Boehm, Surfaces in Computer-Aided Geometric Design , North-Holland Publishing Co. 1983
6. R. E.Barnhill and G.Farin, “C1 Quintic Interpolation over Triangles: Two Explicit Representations,” Int'l J. Numerical Methods in Eng. Vol. 17, pp. 1763-1778
7. R. E.Barnhill, G.Birkhoff, and W. J.Gordon, J. Approximation Theory , Vol. 8, pp. 114-128
8. S. A.Coons, Design Division, Mech. Eng. Dept. , Massachusetts Institute of Technology 1967 Also available as AD 663 504 from National Technical Information Service, Springfield, Va.
9. W. J.Gordon, SIAM J. Numerical Analysis , 1971 Vol. 8, pp. 158-177
10. R. E.Barnhill, R. E.Barnhill, and W.Boehm, Surfaces in Computer-Aided Geometric Design , North-Holland Publishing Co. 1983
11. J. A.Gregory, R. E.Barnhill, and R. F.Riesenfeld, Computer-Aided Geometric Design , Academic Press 1975
12. R. E.Barnhill, J. R.Rice, Mathematical Software III , Academic Press 1977pp. 69-120
13. P.Alfeld and R. E.Barnhill, R. E.Barnhill, and G. M.Nielson, “A Transfinite C2 Interpolant over Triangles,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
14. D.Shepard, “A Two-Dimensional Interpolation Function for Irregularly Spaced Data,” Proc. ACM Nat'l Conf. 1968pp. 517-524
15. R. E.Barnhill, R. P.Dube, and F. F.Little, “Properties of Shepard's Surfaces,” Rocky Mountain J. Mathematics Vol. 13, No. 2, pp. 365-382 1983
16. S. E.Stead, “Smooth Multistage Multivariate Approximation,” 1983
17. C. S.Petersen, “Contours of Three- and Four-Dimensional Surfaces,” 1983
18. G.Farin, “Bézier Polynomials over Triangles and the Construction of Piecewise Cr Polynomials,” , Dept. of Math., Brunel University 1980
19. R. E.Barnhill and F. F.Little, R. E.Barnhill, and G. M.Nielson, “Adaptive Triangular Cubatures,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
20. P.Alfeld, R. E.Barnhill, and G. M.Nielson, “A Discrete C1 Interpolant for Tetrahedra Data,” Rocky Mountain J. Mathematics No. special issue on surfaces, Jan. 1984 to appear
21. T. A.Foley and G. M.Nielson, E. W.Cheney, Approximation Theory III , Academic Press 1980pp. 419-424

Citation:
Robert Barnhill, "A Survey of the Representation and Design of Surfaces," IEEE Computer Graphics and Applications, vol. 3, no. 7, pp. 9-16, Oct. 1983, doi:10.1109/MCG.1983.263266
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