Restoration of Limited View-Angle Image with a Line-by-Line Kalman Filter

  • Ali Safaeinili
  • John P. Basart
Chapter
Part of the Review of Progress in Quantitative Nondestructive Evaluation book series

Abstract

Image reconstruction using limited data is a necessity in a variety of applications. These applications include CT and NMR imaging in medical and industrial applications, and synthesis imaging in radio astronomy. In X-ray CT, the incompleteness of the data can be interpreted as a lack of sampling in the spatial Fourier domain. We will show that the distortion in a limited view-angle x-ray CT imaging can be formulated as a linear distortion. An estimation procedure to restore the distorted image will be presented. Finally, we will present the results of this estimation process to X-ray CT.

Keywords

Entropy Covariance Convolution Sine Deconvolution 

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Ali Safaeinili
    • 1
  • John P. Basart
    • 2
  1. 1.Electrical and Computer Engineering Dept.Iowa State UniversityAmesUSA
  2. 2.Electrical and Computer Engineering Dept. Center for NDEIowa State UniversityAmesUSA

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