Reconstructing an Ellipsoid from its Limbs' Projections
Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 143-15
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51N05
Mots-clés : Ellipsoid, limb, projection, reconstruction
Mots-clés : Ellipsoid, limb, projection, reconstruction
@article{JGG_2004_8_2_JGG_2004_8_2_a1,
author = {M. Ali Said },
title = {Reconstructing an {Ellipsoid} from its {Limbs'} {Projections}},
journal = {Journal for geometry and graphics},
pages = {143--15},
year = {2004},
volume = {8},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a1/}
}
M. Ali Said . Reconstructing an Ellipsoid from its Limbs' Projections. Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 143-15. http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a1/