Similarity transformation method for data processing and visualization

Abstract

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.

Dependencies are inferred from the claim text.