A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform

@article{Averbuch2008AFF,
  title={A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform},
  author={Amir Averbuch and Ronald R. Coifman and David L. Donoho and Moshe Israeli and Yoel Shkolnisky and Ilya Sedelnikov},
  journal={SIAM J. Scientific Computing},
  year={2008},
  volume={30},
  pages={785-803}
}
The Radon transform is a fundamental tool in many areas. For example, in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many modern physical computations, the Radon transform lacks a coherent discrete definition for 2D discrete images which is algebraically exact, invertible, and rapidly computable. We define a notion of 2D discrete Radon transforms for discrete 2D images, which is based on summation along lines of absolute slope less than… CONTINUE READING
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