Abstract
The perspective reconstruction of a spheroid’s position and orientation from a single image plane ellipse is derived, by direct inversion of the projection equations, assuming the semi-major and semi-minor axes are known. Attention is paid to the geometric interpretation of the reconstruction. The reconstruction is formulated and reduced to an eigenvalue problem, to yield 2 solutions for the spheroid’s position and orientation. The symmetry of the polar planes for these solutions are then deduced.
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Wokes, D.S., Palmer, P.L. Perspective Reconstruction of a Spheroid from an Image Plane Ellipse. Int J Comput Vis 90, 369–379 (2010). https://doi.org/10.1007/s11263-010-0368-0
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DOI: https://doi.org/10.1007/s11263-010-0368-0