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Shape-Preserving Spline Interpolation for Specifying Bivariate Functions on Grids
September 1983 (vol. 3 no. 6)
pp. 70-79
S. Dodd, Bell Laboratories
D. McAllister, North Carolina State University
J. Roulier, University of Connecticut
Compared with other methods, this technique for smooth surface interpolation over grid data reduces the number of extraneous local optima and inflection points of the surface.

1. D. F.McAllister and J. A.Roulier, “An Algorithm for Computing a Shape Preserving Osculatory Quadratic Spline,” TOMS Vol. 7, No. 3, pp. 331-347 Sept. 1981
2. J. A.Gregory, R. E.Barnhill, and R. F.Riesenfeld, Computer Aided Geometric Design , Academic Press 1974pp. 71-87
3. S. A.Coons, “Surfaces for Computer-Aided Design,” , Mechanical Engineering Dept. Design Division 1964 MIT (revised, 1967)
4. HiroshiAkima, “A Method of Bivariate Interpolation and Smooth Surface Fitting Based on Local Procedures,” Comm. ACM Vol. 17, No. 1, pp. 18-20 Jan. 1974
5. D. F.McAllister, E.Passow, and J. A.Roulier, “Algorithms for Computing Shape Preserving Spline Interpolations to Data,” Mathematics of Computation Vol. 31, No. 139, pp. 717-725 July 1977
6. R. E.Williamson, R. H.Crowell, and H. F.Trotter, Calculus of Vector Functions , Prentice-Hall 1968
7. O. L.Mangasarian, Nonlinear Programming , McGraw-Hill 1969
8. HiroshiAkima, “A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures,” J. ACM Vol. 17, No. 4, pp. 589-602 Oct. 1970
9. D. F.McAllister and J. A.Roulier, “Interpolation by Convex Quadratic Splines,” Mathematics of Computation Vol. 32, No. 144, pp. 1154-1162 Oct. 1978

S. Dodd, D. McAllister, J. Roulier, "Shape-Preserving Spline Interpolation for Specifying Bivariate Functions on Grids," IEEE Computer Graphics and Applications, vol. 3, no. 6, pp. 70-79, Sept. 1983, doi:10.1109/MCG.1983.263246
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