Image Registration: Difference between revisions
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==Phase correlation== | |||
{{main | Wikipedia: Phase correlation}} | |||
By the [https://en.wikipedia.org/wiki/Discrete_Fourier_transform#Shift_theorem Fourier shift theorem], a translation in the spatial domain is a linear phase shift in the Fourier domain.<br> | |||
Hence, if you have two images with only a translation, you can identify the translation by estimating the phase shift. | |||
==Log-Polar Transformation== | ==Log-Polar Transformation== | ||
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==References== | ==References== | ||
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<ref name="wolberg2000robust">George Wolberg, and Siavash Zokai (2000). ''Robust Image Registration Using Log-Polar Transform'' DOI: [https://doi.org/10.1109/ICIP.2000.901003 10.1109/ICIP.2000.901003] URL: [https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf]</ref> | <ref name="wolberg2000robust">George Wolberg, and Siavash Zokai (2000). ''Robust Image Registration Using Log-Polar Transform'' DOI: [https://doi.org/10.1109/ICIP.2000.901003 10.1109/ICIP.2000.901003] URL: [https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf]</ref> | ||
<ref name="reddy1996fft">B. S. Reddy and B. N. Chatterji, "An FFT-based technique for translation, rotation, and scale-invariant image registration," in IEEE Transactions on Image Processing, vol. 5, no. 8, pp. 1266-1271, Aug. 1996, doi: 10.1109/83.506761. https://ieeexplore.ieee.org/document/506761</ref> | <ref name="reddy1996fft">B. S. Reddy and B. N. Chatterji, "An FFT-based technique for translation, rotation, and scale-invariant image registration," in IEEE Transactions on Image Processing, vol. 5, no. 8, pp. 1266-1271, Aug. 1996, doi: 10.1109/83.506761. https://ieeexplore.ieee.org/document/506761</ref> | ||
<ref name="matungka2009adaptive"><cite class="journal">Rittavee Matungka, Yuan F. Zheng, and Robert L. Ewing (2009). ''Image Registration Using Adaptive Polar Transform'' DOI: [https://doi.org/10.1109/TIP.2009.2025010 10.1109/TIP.2009.2025010] URL: [https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf]</cite></ref> | <ref name="matungka2009adaptive"><cite class="journal">Rittavee Matungka, Yuan F. Zheng, and Robert L. Ewing (2009). ''Image Registration Using Adaptive Polar Transform'' DOI: [https://doi.org/10.1109/TIP.2009.2025010 10.1109/TIP.2009.2025010] URL: [https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf https://home.cis.rit.edu/~cnspci/references/wolberg2000.pdf]</cite></ref> | ||
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