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Image Registration: Difference between revisions

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Image registration is recovering an affine transformation (rotation + translation) between two images.
Image registration is recovering an affine transformation (scale, rotation, translation) between two images.


Image registration can be performed in the frequency domain with the Fourier transform or in the spatial domain with a log-polar transformation.
Image registration can be performed in the frequency domain with the Fourier transform or in the spatial domain with a log-polar transformation.
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==Log-Polar Transformation==
==Log-Polar Transformation==
This is copied from Wolberg and Zokai<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>.
This is copied from Wolberg and Zokai<ref name="wolberg2000robust"/>. See also Reddy (1996)<ref name="reddy1996fft"/>.


The log-polar transformation is defined as follows:<br>
The log-polar transformation is defined as follows:<br>
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===Adaptive Log-Polar Transformation===
===Adaptive Log-Polar Transformation===
The goal of Adaptive Polar Transform by Matungka ''et al.''<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> is to address the non-uniform sampling of the log-polar transformation.
The goal of Adaptive Polar Transform by Matungka ''et al.''<ref name="matungka2009adaptive"/> is to address the non-uniform sampling of the log-polar transformation.


[[File: Adaptive polar transform fig4.png |  500px | Adaptive Polar Transform]]
[[File: Adaptive polar transform fig4.png |  500px | Adaptive Polar Transform]]
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==References==
==References==
{{reflist|
<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="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>
}}