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
mmamsaid@hotmail.com
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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