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Hammer's X-Ray Problems


Let a homogeneous solid contain a convex hole K and take x-rays so that the "darkness" at each point on a photographic plate determines the length of the chord of K along the line of propagation of an x-ray. Then how many x-ray pictures must be taken to exactly reconstruct K if

1. The x-rays originate from a point source,

2. The x-rays originate from a source at infinity and so are parallel?


See also

Radon Transform

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References

Croft, H. T.; Falconer, K. J.; and Guy, R. K. "Hammer's X-Ray Problems." §A2 in Unsolved Problems in Geometry. New York: Springer-Verlag, pp. 11-14, 1991.

Referenced on Wolfram|Alpha

Hammer's X-Ray Problems

Cite this as:

Weisstein, Eric W. "Hammer's X-Ray Problems." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HammersX-RayProblems.html

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