Image rotation and translation measurement based on joint transform correlator

An image rotation and translation measurement technology based on joint transform correlator (JTC) is proposed. The reference and the target images are Fourier transformed. Then the magnitude of the Fourier transformed reference (MFR) and target (MFT) images are multiplied with a high-pass emphasis filter and transformed from Cartesian space into Polar space. The rotation between the reference and the target image is obtained by measuring the filtered MFR and MFT in polar coordinates by JTC. Rotate the target image in reverse orientation by the rotation angle to get the rotation-corrected target (RCT) image. Finally the translation between the reference and the target image is obtained through measuring the reference and the rotation-corrected target image by JTC. Simulational and experimental results are given to verify our analysis.