METHOD FOR DESIGNING TRANSFORMS FOR SPARSE DATA REPRESENTATION USING ACTIVE REGIONS

Disclosed is a computer-implemented method for representing and analyzing a material having associated therewith spatial domain material-related data. The method converts the spatial domain data into frequency domain using a frequency transform function for generating frequency domain signals having frequency and magnitude composites. After converting, the method selects active regions based on a pre-defined threshold, the active regions being defined by the frequency domain signals having magnitudes above the pre-defined threshold. Further, the method generates active region coefficients by transforming the frequency domain signals related to the active regions into the spatial domain. Thereafter, the method processes the generated coefficients to construct a representation of the material which can comprise constructing an image of the material, determining and illustrating the physical characteristics of the material and/or generating a digital representation of the material and storing and/or transmitting and/or further processing said digital representation, depending on the application.