1. A method of reconstructing an unknown enrolled biometric target template of a recognition system, the method comprising: inputting a plurality of known biometric templates into the recognition system; calculating a match score for each of the plurality of known biometric templates and the unknown enrolled biometric target template of the recognition system; converting the match score for each of the plurality of known biometric templates into a plurality of dot product distances; determining a set of configuration points for the plurality of dot product distances that preserves the match score for each of the plurality of known biometric templates and the unknown enrolled biometric target template of the recognition system, wherein the set of configuration points comprises a set of vectors wherein a sum of the vectors in the set of vectors is equal to zero such that the center of the set of configuration points is at the origin; providing an affine transformation approximating the recognition system based upon the set of configuration points; identifying coordinates for each of the configuration points in the set of configuration points in the affine transformation; approximating coordinates for the unknown enrolled biometric target template in the affine transformation; and performing a pseudo-inversion of the affine transformation to reconstruct the unknown enrolled biometric target template.