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单词 Tomography
释义

Tomography

Tomography is the study of the reconstruction of 2- and 3-dimensional objects from 1-dimensional slices. TheRadon Transform is an important tool in tomography.


Rather surprisingly, there exist certain sets of four directions in Euclidean -space such that X-rays of a convex bodyin these directions distinguish it from all other convex bodies.

See also Aleksandrov's Uniqueness Theorem, Brunn-Minkowski Inequality, Busemann-Petty Problem,Dvoretzky's Theorem, Radon Transform, Stereology


References

Tomography

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

Gardner, R. J. Geometric Tomography. New York: Cambridge University Press, 1995.


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