Iterative image reconstruction algorithms based on cross-entropy minimization

  • Authors:

  • C. L. Byrne

  • Affiliations:

  • Dept. of Math., Massachusetts Univ., Lowell, MA

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 1993

Quantified Score

Hi-index 0.01

Visualization

Abstract

The related problems of minimizing the functionals F(x)=αKL(y,Px)+(1-α)KL(p ,x) and G(x)=αKL(Px,y)+(1-α)KL(x ,p), respectively, over the set of vectors x⩾0 are considered. KL(a, b) is the cross-entropy (or Kullback-Leibler) distance between two nonnegative vectors a and b. Iterative algorithms for minimizing both functionals using the method of alternating projections are derived. A simultaneous version of the multiplicative algebraic reconstruction technique (MART) algorithm, called SMART, is introduced, and its convergence is proved