The application of piecewise polynomials to problems of curve and surface approximation

Contains: Introduction. - The interpolation of smooth curves. - The computation of elastic beams with large deflection. - Approximation of measured data by piecewise bicubic polynomial functions. - The numerical solution of variational problems, using piecewise polynomial functions and a least squares approximation to the boundary conditions. - The use of piecewise polynomial functions for the approximation of the relationship between any two geodetic coordinate systems. - Fast and precise transformation of Decca coordinates to UTM coordinates or to other coordinate systems. - Methods for the transformation of points from sidelooking radar and infrared photographs to the map system.