A similarity transform method of providing parameterized representation of
physical or engineering functions for use in retrieving the engineering or
physical functions from data, comprising (a) obtaining samples of the
functions from data, numerical simulations, or analytic models, (b)
extracting generic function shape information from the samples, (c)
embedding the function shape information in a parametric discrete
grid-based function representation model (forward model); (d) fitting data
with the forward model; and (e) retrieving the function from the fitted
forward model. The similarity transform method provides a framework for
extracting generic function shape information, in the form of
non-dimensional shape function, from data, numerical simulations, or
analytic model. Thus, the present invention facilitates analysis of
general characteristics of a physical or engineering variable, in terms of
the dependence of the variable on other variables or parameters.
