Interpolating cubic splines

The study of spline functions is an outgrowth of basic mathematical concepts arising from calculus, analysis and numerical analysis. Spline modelling affects a number of fields : statistics, computer graphics, CAD programming, computer-aided design technology, and other areas of applied mathematics. This work is suitable for self study for a variety of applied mathematicians, engineers, as a textbook for upper-level undergraduate-graduate courses, or for use in specialized topics courses in the areas of numerical analysis, computer graphics, and various adjunct engineering courses.

Mathematical preliminaries. Curves. Surfaces. Function and space curve interpolation. 2-D function interpolation. Spline curves with range dimension. Cubic polynomial space curve splines. Double tangent cubic splines. Global cubic space curve splines. Smoothing splines. Geometrically-continuous cubic splines. Quadratic space curve-based cubic splines. Cubic spline vector space basis functions. Rational cubic splines. Two spline programs. Tensor product surface splines. Boundary-curve based surface splines. Physical splines.