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Journal of Information Science and Engineering, Vol. 30 No. 3, pp. 853-873 (May 2014)


Global Image Registration Based on Invariant Representation of Polar Complex Exponential Transform*


MMENG YI1,2,+, BAO-LONG GUO1 AND CHUN-MAN YAN1
1School of Electronic and Control Engineering
Chang'an University
Xi'an 710071, P.R. China
2Institute of Intelligent Control and Image Engineering
Xidian University
Xi'an 710064, P.R. China

Robust point matching is a critical and challenging process in feature-based image registration. In this paper, an invariant feature point matching algorithm is presented by introducing the Polar Complex Exponential Transform (PCET), a new kind of orthogonal moment reported recently. Similar to orthogonal complex mo-ments, PCETs is defined on a circular domain. The magnitudes of PCETs are invariant to image rotation and scale. Furthermore, the PCETs are free of numerical instability, so they are more suitable for building shape descriptor. In this paper, the invariant properties of PCETs are investigated, and the accurate moments are selected elaborately. During similarity measurement¡A the cross correlation function is reconstructed by in-variant PCET moments (IPCETs) combining both the magnitude and phase coefficients and maximized to match the control- point pairs. Then the most ¡§useful¡¨ matching points that belong to the background are used to find the global transformation parameters between the frames using the projective invariant. The discrimina-tive power of the new IPCETs descriptor is compared with major existing region descriptors (complex mo-ments, SIFT and GLOH). The experimental results, involving more than 10 million region pairs, indicate the proposed IPCETs descriptor has, generally speaking, produce a more robust registration under photometric and geometric performances.

Keywords: image registration, polar complex exponential transform (PCET), cross correlation, magnitude and phase components

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Received August 29, 2012; revised November 22, 2012; accepted March 3, 2013.
Communicated by Chung-Lin Huang.
* This work was supproted by the National Nature Science Foundation of China (Nos. 60802077 and 60872136).
+ Corresponding author: yimeng0120@gmail.com.