Selected Topics in Integral Geometry

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  Selected Topics in Integral Geometry
  170 pages | Dec 12, 2007 |ISBN: 0821829327 | PDF | 8 Mb

  
  The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. Moreover, many important practical applications were discovered. The best known, but by no means the only one, being to medical tomography.
  
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