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Journal for Geometry and Graphics 08 (2004), No. 2, 143--150
Copyright Heldermann Verlag 2004

Reconstructing an Ellipsoid from its Limbs' Projections

Mohamed Ali Said
Engineering Mathematics and Physics Dept., Faculty of Engineering, Zagazig University, Zagazig, Egypt

It is shown that the projection of an ellipsoid's limb in a direction perpendicular to a principal plane is an ellipse in that plane. Then a method for reconstructing an ellipsoid from three projections of its limbs on the three principal planes is introduced. This supports the work of reconstructing a shape from its projections, views, or images which is of special interest in application areas like pattern recognition, computer vision, and medical imaging.

Keywords: Ellipsoid, limb, projection, reconstruction.

MSC: 51N05

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