The Zernike Expansion --- An Example of a Merit Function for 2D/3D Registration Based on Orthogonal Functions

  • Authors:

  • Shuo Dong;Joachim Kettenbach;Isabella Hinterleitner;Helmar Bergmann;Wolfgang Birkfellner

  • Affiliations:

  • Center of Biomedical Engineering and Physics, Medical University Vienna, Austria and School of Biomedical Engineering, Capital Medical University, Beijing, P.R. China;Department of Interventional Radiology, University Clinic of Diagnostic Radiology, Medical University Vienna, Austria;Center of Biomedical Engineering and Physics, Medical University Vienna, Austria;Center of Biomedical Engineering and Physics, Medical University Vienna, Austria;Center of Biomedical Engineering and Physics, Medical University Vienna, Austria

  • Venue:
  • MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
  • Year:
  • 2008

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Abstract

Current merit functions for 2D/3D registration usually rely on comparing pixels or small regions of images using some sort of statistical measure. Problems connected to this paradigm the sometimes problematic behaviour of the method if noise or artefacts (for instance a guide wire) are present on the projective image. We present a merit function for 2D/3D registration which utilizes the decomposition of the X-ray and the DRR under comparison into orthogonal Zernike moments; the quality of the match is assessed by an iterative comparison of expansion coefficients. Results in a imaging study on a physical phantom show that --- compared to standard cross-correlation --- the Zernike moment based merit function shows better robustness if histogram content in images under comparison is different, and that time expenses are comparable if the merit function is constructed out of a few significant moments only.