Aleksandrov's Uniqueness Theorem

A convex body in Euclidean space that is centrally symmetric with center at the origin is determined among all such bodies by its brightness function (the volume of each projection).

See also

Brightness, Shephard's Problem, Tomography

Explore with Wolfram|Alpha


Gardner, R. J. "Geometric Tomography." Not. Amer. Math. Soc. 42, 422-429, 1995.

Referenced on Wolfram|Alpha

Aleksandrov's Uniqueness Theorem

Cite this as:

Weisstein, Eric W. "Aleksandrov's Uniqueness Theorem." From MathWorld--A Wolfram Web Resource.

Subject classifications