In this paper

one of the adaptive algorithm of implementing geometric correction has been proposed. Its key points are.In terms of the unsteadiness of error distribution of over two orders polynomial processing during image geometric correcting and the correction accuracy

the adaptive algorithm of unequal length interval of 2-dimension geometric correction will be derived from the rest term of Lagrange interpolation. It will save 15% calculating time than three orders polynomial point by point correction

but the quality and accuracy of images are almost same.