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Ludwig's Inversion Formula

Expresses a function in terms of its Radon Transform,

$\displaystyle f(x,y)$ $\textstyle =$ $\displaystyle {\mathcal R}^{-1}({\mathcal R} f)(x, y)$  
  $\textstyle =$ $\displaystyle {1\over\pi}{1\over 2\pi}\int_{-\infty}^\infty{{\partial\over\partial p}({\mathcal R}f)(p,\alpha)\over x\cos\alpha+y\sin\alpha-p}\,dp\,d\alpha.$  

See also Radon Transform




© 1996-9 Eric W. Weisstein
1999-05-25