Using parallel projection mathematics to orient an object relative to a single image

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The paper presents a straightforward method of calculating approximate orientation parameters (six degrees of freedom) of a known targeted object relative to a single calibrated camera. These can then initialise an optimised non-linear calculation of the same parameter values. The method uses the mathematics of a scaled parallel projection and is particularly suited to narrow angle images obtained using a telescope, telephoto or zoom lens. However, the method can also be used with cameras having wider fields of view provided the target group occupies a moderately small part of the image.

Keywords: initial orientation; parallel projection; space resection

Document Type: Research Article


Affiliations: ( ) Metrology Division, Leica Geosystems AG, Unterentfelden, Switzerland *, Email:

Publication date: March 1, 2004

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