Radon transform
Radon transform
Fourier transform executes transformation of the function of Cartesian coordinates (x, y) into the function of the variables conjugate to the original Cartesian coordinates. On the other hand, "Radon transform" executes transformation of the function of a two-dimensional polar coordinates (r, θ) into the function of the variables conjugate to the original two-dimensional polar coordinates. This transformation is used for tomography, which reconstructs the three-dimensional structure of a specimen from electron microscope images taken at many different orientations of the incident electron.
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