Perspective Projection Of A Spheroid Onto An Image Plane

David Wokes & P L Palmer

The perspective projection of a spheroid of known dimensions onto an image plane
is derived. This paper ¯rst considers the projection of a 2-D ellipse projected onto an
image line and then applies the results to the 3-D scenario. An elegant set of algebraic
expressions for the ellipse parameters are derived in terms of the spheroid parameters,
followed by a demonstration and discussion on their interpretation. In this paper we
present a generalization of homogeneous coordinates that enables us to express the
perspective projection of a spheroid onto an image plane in a more readily accessible
way.

Paper: Perspective Projection of a Spheroid

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