Perspective Reconstruction of a Spheroid from an Image Plane Ellipse

Authors:
David S. Wokes;P. L. Palmer
Affiliations:
Surrey Space Centre, University of Surrey, Guildford, UK;Surrey Space Centre, University of Surrey, Guildford, UK
Venue:
International Journal of Computer Vision
Year:
2010

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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.