Perspective Reconstruction of a Spheroid From An Image Plane Ellipse

David Wokes & P L Palmer

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.

Paper: Perspective Reconstruction of a Spheroid

Ref: Wokes, D.S. & Palmer, P.L., Int J Computer Vision, 90, No 3,  p. 369, 2010.

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