Linear resection, intersection, and perspective-independent model matching in photogrammetry: theory

Statistics – Applications

Scientific paper

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Scientific paper

For several useful tasks in photogrammetry and in model-based vision, this paper develops noniterative methods that require only the inversion of systems of linear equations. The methods are based on the theory of projective invariants. The following tasks are addressed: (a) Resection, or determination of parameters of acquisition geometry (requires six control points); (b) Intersection, or determination of the position of an object point from several images; and (c) Transfer, or model matching, which uses the image coordinates of a ground point in two images to predict the coordinates of that point in a third image in the presence of several other tie points in the three images.

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