Method of visualization and graphical analysis for multidimensional functions

An interactive method of visualization and graphical analysis of functions considered in multi-dimensional domain is provided. The inventive method substitutes continuum objects represented by one or more functions by discrete approximation represented by a set of multi-dimensional points, to analyze the dataset graphically. The preferred embodiment of the method includes the steps of:a) generating uniformly distributed sequence of points in the multi-dimensional domain;b) calculating values of the function (or the system of functions) in the points of the uniformly distributed sequence, and create an approximation of the functions by discrete dataset;c) determining a split-criterion for the purpose dividing the discrete dataset into several non intersecting subsets;d) applying the split-criterion for each point of the discrete dataset, to determine in which subset a point belongs;e) drawing each subset in a distinct color on a number of two- and three-dimensional projections to analyze graphically colored patterns on the projections.