The present disclosure includes systems and techniques relating to selecting a reference image for images to be joined in accordance with projective transformations. In general, one aspect of the subject matter described in this specification can be embodied in a computer-implemented method that includes obtaining projective transformations corresponding to two dimensional images to be joined together in accordance with the projective transformations; selecting one of the two dimensional images to be a reference image for remaining ones of the two dimensional images, the selecting being based on a measure of overall distortion for the two dimensional images; setting a projective transformation of the one of the images according to a group transform; correcting remaining projective transformations of the remaining images in accordance with the setting the projective transformation of the one of the images; and making the two dimensional images and the projective transformations available for further processing and output.