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Ludwig's Inversion Formula

Expresses a function in terms of its Radon transform,

f(x,y)=R^(-1)(Rf)(x,y)
(1)
=1/pi1/(2pi)int_(-infty)^infty(partial/(partialp)(Rf)(p,alpha))/(xcosalpha+ysinalpha-p)dpdalpha.
(2)

See also

Radon Transform

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Cite this as:

Weisstein, Eric W. "Ludwig's Inversion Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LudwigsInversionFormula.html

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