Image registration using hierarchical B-splines

Zhiyong Xie, Gerald E. Farin

Research output: Contribution to journalArticlepeer-review

112 Scopus citations


Hierarchical B-splines have been widely used for shape modeling since their discovery by Forsey and Bartels. In this paper, we present an application of this concept, in the form of free-form deformation, to image registration by matching two images at increasing levels of detail. Results using MRI brain data are presented that demonstrate high degrees of matching while unnecessary distortions are avoided. We compare our results with the nonlinear ICP (Iterative Closest Point) algorithm (used for landmark-based registration) and optical flow (used for intensity-based registration).

Original languageEnglish (US)
Pages (from-to)85-94
Number of pages10
JournalIEEE Transactions on Visualization and Computer Graphics
Issue number1
StatePublished - Jan 2004


  • Free form deformation
  • Hierarchical B-splines
  • Image registration
  • Iterative closest point
  • Optical flow
  • Scattered data approximation

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


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