The Translation Sensitivity of Wavelet-Based Registration

  • Authors:
  • Harold S. Stone;Jacqueline Le Moigne;Morgan McGuire

  • Affiliations:
  • NEC Research Institute, Princeton, NJ;NASA Goddard Space Flight Center, Greenbelt, MD;Massachusetts Institute of Technology, Cambridge

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1999

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Abstract

This paper studies the effects of image translation on wavelet-based image registration. The main result is that the normalized correlation coefficients of low-pass Haar and Daubechies wavelet subbands are essentially insensitive to translations for features larger than twice the wavelet blocksize. The third-level low-pass subbands produce a correlation peak that varies with translation from 0.7 and 1.0 with an average in excess of 0.9. Translation sensitivity is limited to the high-pass subband and even this subband is potentially useful. The correlation peak for high-pass subbands derived from first and second-level low-pass subbands ranges from about 0.0 to 1.0 with an average of about 0.5 for Daubechies and 0.7 for Haar. We use a mathematical model to develop these results, and confirm them on real data.