Regularization for uniform spatial resolution properties in penalized-likelihood image reconstruction

IEEE Trans Med Imaging. 2000 Jun;19(6):601-15. doi: 10.1109/42.870666.

Abstract

Traditional space-invariant regularization methods in tomographic image reconstruction using penalized-likelihood estimators produce images with nonuniform spatial resolution properties. The local point spread functions that quantify the smoothing properties of such estimators are space-variant, asymmetric, and object-dependent even for space-invariant imaging systems. We propose a new quadratic regularization scheme for tomographic imaging systems that yields increased spatial uniformity and is motivated by the least-squares fitting of a parameterized local impulse response to a desired global response. We have developed computationally efficient methods for PET systems with shift-invariant geometric responses. We demonstrate the increased spatial uniformity of this new method versus conventional quadratic regularization schemes in simulated PET thorax scans.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Computer Simulation
  • Humans
  • Image Processing, Computer-Assisted / methods*
  • Models, Theoretical
  • Phantoms, Imaging
  • Thorax / diagnostic imaging*
  • Tomography, Emission-Computed* / standards