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<p><b>Abstract</b>—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.</p>
Image registration, image search, wavelet transform, correlation, low-pass filter, high-pass filter, Haar wavelet, Daubechies wavelet, multiresolution search.

J. Le Moigne, M. McGuire and H. S. Stone, "The Translation Sensitivity of Wavelet-Based Registration," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 21, no. , pp. 1074-1081, 1999.
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