Abstract
This paper proposes a novel registration algorithm based on Pseudo-Polar Fast Fourier Transform (FFT) and Analytical Fourier-Mellin Transform (AFMT) for the alignment of images differing in translation, rotation angle, and uniform scale factor. The proposed algorithm employs the AFMT of the Fourier magnitude to determine all the geometric transformation parameters with its property of the invariance to translation and rotation. Besides, the proposed algorithm adopt a fast high accuracy conversion from Cartesian to polar coordinates based on the pseudo-polar FFT and the conversion from the pseudo-polar to the polar grid, which involves only 1D interpolations, and obtain a more significant improvement in accuracy than the conventional method using cross-correlation. Experiments show that the algorithm is accurate and robust regardless of white noise.
This work was supported by the foundation of science and technology development of Jilin Province, China under Grant 20040531.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Anuta, P.E.: Spatial Registration of Multispectral and Multitemporal Digital Imagery Using Fast Fourier Transform Techniques. IEEE Trans. Geo. Elec. 8, 353–368 (1970)
Casasent, D., Psaltis, D.: Position, Rotation, and Scale Invariant Optical Correlation. Applied Optics 15, 1795–1799 (1976)
Casasent, D., Psaltis, D.: Space-Bandwidth Product and Accuracy of the Optical Mellin Transform. Applied Optics 16, 1472 (1977)
Casasent, D., Psaltis, D.: Accuracy and Space Bandwidth in Space Variant Optical Correlators. Optics Comm. 23, 209–212 (1977)
Casasent, D., Psaltis, D.: Deformation Invariant, Space-Variant Optical Pattern Recognition. In: Wolf, E. (ed.) Progress in Optics, pp. 290–356. North-Holland Publishing Co., Amsterdam (1978)
Aitmann, J., Reitbock, H.J.P.: A Fast Correlation Method for Scale- and Translation-Invariant Pattern Recognition. IEEE Trans. on Pattern Analysis and Machine Intelligence 6, 46–57 (1984)
Casasent, D., Psaltis, D.: Scale Invariant Optical Transform. Optical Engineering 15(3), 258–261 (1976)
Yatagay, T., Choji, K., Saito, H.: Pattern Classification Using Optical Mellin Transform and Circular Photodiode Array. Optical Communication 38(3), 162–165 (1981)
Zwicke, P.E., Kiss, Z.: A New Implementation of the Mellin Transform and Its Application to Radar Classification. IEEE Trans. on Pattern Analysis and Machine Intelligence 5(2), 191–199 (1983)
Ghorbel, F.: A Complete Invariant Description for Gray-Level Images by the Harmonic Analysis Approach. Pattern Recognition Letters 15, 1043–1051 (1994)
Averbuch, A., Shkolnisky, Y.: The 3D Discrete Radon Transform. Applied Computational Harmonic Analysis 15(1), 33–69 (2003)
Averbuch, A., Shkolnisky, Y.: 3D Discrete X-Ray Transform. In: SIAM Conf. on Imaging Science 2004, Salt Lake City, Utah, USA, pp. 3–5 (2004)
Goh, S.: The Mellin Transformation: Theory and Digital Filter Implementation. Ph.D. dissertation, Purdue University, West Lafayette, I.N. (1985)
DeCastro, E., Morandi, C.: Registration of Translated and Rotated Images Using Finite Fourier Transforms. IEEE Trans. on Pattern Analysis and Machine Intelligence 9(5), 700–703 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guo, X., Xu, Z., Lu, Y., Liu, Z., Pang, Y. (2005). Image Registration Based on Pseudo-Polar FFT and Analytical Fourier-Mellin Transform. In: Huang, DS., Zhang, XP., Huang, GB. (eds) Advances in Intelligent Computing. ICIC 2005. Lecture Notes in Computer Science, vol 3644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11538059_4
Download citation
DOI: https://doi.org/10.1007/11538059_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28226-6
Online ISBN: 978-3-540-31902-3
eBook Packages: Computer ScienceComputer Science (R0)