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3-D Pose from 3 Points Using Weak-Perspective
August 1994 (vol. 16 no. 8)
pp. 802-808

This correspondence discusses computing the pose of a model from three matching point pairs under weak-perspective projection. A new approach to the problem that is motivated geometrically is described. Like previous methods, the method here involves solving a biquadratic equation, but here the biquadratic's solutions, comprised of an actual and a false solution, are interpreted graphically. The final equations take a new form, which leads to a simple expression for the image position of any unmatched model point.

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Index Terms:
image recognition; image sequences; geometry; 3-D pose; weak-perspective; matching point pairs; biquadratic equation; image position; unmatched model point
T.D. Alter, "3-D Pose from 3 Points Using Weak-Perspective," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 8, pp. 802-808, Aug. 1994, doi:10.1109/34.308475
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