Bicubic Spline

A bicubic spline is a special case of bicubic interpolation which uses an interpolation function of the form

			(1)
			(2)
			(3)
			(4)

where  are constants and  and  are parameters ranging from 0 to 1. For a bicubic spline, however, the partial derivatives at the grid points are determined globally by one-dimensional splines.

REFERENCES:

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 118-122, 1992.