Implementation of Some Triangular Data Fitting Schemes Using Averaging To Get Continuity

In this paper, I describe the implementation details of some functional, triangular data fitting schemes. The schemes in question use derivative information to find initial settings of control points, giving a C, piecewise polynomial surface with a high degree of polynomial precision. The interior control points are then modified to increase the continuity between patches without decreasing the polynomial precision. In implementing these schemes, I had to address several issues, including basis conversion for bivariate functions, finding the weights of control points used to compute derivatives, and the construction of data sets for testing. In addition, I developed and tested a new scheme that uses fewer derivatives than the other schemes discussed in this paper.