IMAGE POSITIONING AND CAMERA CALIBRATION WITH A GROUP THEORY BASED TECHNIQUE

Abstract

Group transformation theory and group representation theory are very effective tools for motion estimation and deriving invariants of an image. We study the properties of the projection system which enables the description of 2D images, their motions and geometrical distortions in terms of group transformations. We consider the decomposing image function in the special orthonormal basis containing Krestenson functions. Two types of transformation are investigated: rotation and scaling of an image.