A rational cubic spline for the visualization of monotonic data

摘要

A smooth curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. The degree of smoothness attained is C~2 which is more powerful than a previous C~1 method.