A bound on mutual information for image registration

Mark B. Skouson, Quji Quo, Zhi Pei Liang

Research output: Contribution to journalLetterpeer-review


An upper bound is derived for the mutual information between a fixed image and a deformable template containing a fixed number of gray-levels. The bound can be calculated by maximizing the entropy of the template under the constraint that the conditional entropy of the template, given the fixed image, be zero. This bound provides useful insight into the properties of mutual information as a similarity metric for deformable image registration. Specifically, it indicates that maximizing mutual information may not necessarily produce an optimal solution when the deformable transform is too flexible.

Original languageEnglish (US)
Pages (from-to)843-845
Number of pages3
JournalIEEE transactions on medical imaging
Issue number8
StatePublished - Aug 2001


  • Deformation
  • Information bound
  • Mutual information
  • Registration

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology
  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Computational Theory and Mathematics


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