A smooth curve interpolation scheme for positive and monotonic data has bee
n developed. This scheme uses piecewise rational cubic functions. The two f
amilies of parameters, in the description of the rational interpolant, have
been constrained to preserve the shape of the data. The rational spline sc
heme has a unique representation. In addition to preserve the shape of posi
tive and/or monotonic data sets, it also possesses extra features to modify
the shape of the design curve as and when desired. The degree of smoothnes
s attained is C-1. (C) 2001 Elsevier Science Ltd. All rights reserved.