The splitting-integrating method is a new technique developed for the normalization of images by the inverse transformations. This new method does not require solving nonlinear algebraic equations and is much simpler than any existing algorithms for the inverse nonlinear transformations. Moreover, its solutions have a high order of convergence, and the images obtained through T-1are free from superfluous holes and blanks, which often occur in transforming digitized images by other approaches. Application of the splitting-integrating method can be extended to supersampling in computer graphics, such as picture transformations by antialiasing, inverse nonlinear mapping, etc. © 1992 IEEE