Cepstrum-based registration of translated images using one-dimensional projections

The 2-D phase correlation and tile 2-D cepstrum technique are known as two solutions to the translation-based image registration problem. However, both methods have a large computational load. Satisfactory results were obtained [7] in a smaller translation range by applying phase correlations to the 1-D projections of images to reduce the computational load. This paper presents a new algorithm based on the application of the cepstrum technique to tile image projections in a similar way. An enhanced cepstrum technique is developed by subtracting the cepstrum of the projection differences from the cepstrum of the projection additions. A superior performance compared to that of the 1-D phase correlation can be obtained by whitening the power spectrum by the square-root instead of the logarithm and using a high-pass filter afterwards. The algorithm yields larger translation ranges in registering noisy images and remarkably outperforms the phase correlation in tile case of different degrees of blurring between images.