Some invariant linear methods in photogrammetry and model-matching

Abstract

For several useful tasks in photogrammetry and in model-based vision, noniterative methods that require only the inversion of systems of linear equations are developed. The methods are based on the theory of projective invariants. The tasks addressed are resection, intersection, and transfer, or model matching (with or without ground control points). The following kinds of transfer are examined: (a) coplanar object points (transfer to image 2 done using four reference points in image 1); (b) stereo camera system (transfer to stereo camera pair 2 done using four reference points in stereo pair 1); (c) general multicamera configuration (transfer of a ninth point to image 3 done using eight tie points in images 1 and 2).< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>