Technique for Dynamically Reconstructing Shape and Size of Three-Dimensional Objects from their Projected Dimensions

The article considers a statistics-aided technique for dynamically reconstructing shape and size of three-dimensional objects approximable by a general ellipsoid, taking into account basic features of its three mutually orthogonal two-dimensional projections. The basic features we selected are the maximum and minimum linear (overall) dimensions of discrete outlines of the object projections. Spatial geometric properties used to describe the object dimensions include the linear (overall) dimensions and the average projected diameter of the three-dimensional image, the general ellipsoid approximating it, and, when describing the object shape, its non-sphericity coefficient defined as the ratio of the maximum to minimum overall dimensions of the approximating ellipsoid axes

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