1. A method for correcting a pattern image by use of an inspection reference pattern image of a workpiece being tested and a pattern image under test, comprising: dividing each of the reference pattern image and the under-test pattern image into a plurality of regions; generating by linear predictive modeling a set of simultaneous equations for the reference pattern image thus divided and the divided test pattern image divided; solving the equations to obtain model parameters for the plurality of regions; obtaining a model parameter sum for each said region; applying interpolation processing to the reference pattern image and the test pattern image in units of sub-pixels to thereby generate a sub-pixel interpolated image; using the sub-pixel interpolated image to obtain a sub-pixel shift amount for minimization of a deviation error in position between the reference pattern image and the test pattern image; comparing each model parameter sum to a threshold to find an error therebetween, if any; when every model parameter sum is within the threshold, combining together corrected pattern images as generated by the linear predictive modeling to thereby generate a single corrected pattern image; when at least one model parameter sum is out of the threshold, redoing said dividing by use of a reduced number of division of the reference pattern image and the test pattern image; and when said dividing is failed and the model parameter sum is out of the threshold, generating an interpolated corrected image based on interpolation processing.