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OPTIMAL INVERSION OF THE NOISY RADON TRANSFORM ON CLASSES DEFINED BY A DEGREE OF THE LAPLACE OPERATOR

  • Received : 2017.01.05
  • Accepted : 2017.03.04
  • Published : 2017.03.25

Abstract

A general optimal recovery problem is to approximate a value of a linear operator on a subset (class) in linear space from a value of another linear operator (called information), measured with an error in given metric. We use this formulation to investigate the classical computerized tomography problem of inversion of the noisy Radon transform.

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