In this paper, we propose some extensions of an efficient gradient-based image registration method called the inverse compositional algorithm. Specifically, these extensions include cumulative multi-image registration and incorporations of illumination change and lens distortion correction. By combining these extensions, we propose efficient cumulative multi-image registration methods with illumination and lens distortion correction. It is shown that high efficiency can still be achieved for multiple images using the proposed methods. Some experimental results show the efficacy of the proposed methods.