Rotational Image Correlation in the Gauss-Laguerre Domain

摘要

A brief overview of the properties of the Gauss-Laguerre circular harmonic functions and the associated transform is given. Based on these properties, an efficient algorithm is developed for computing a normalized cross-correlation, in the full space of translation and rotation, between an image and template. The resulting algorithm is compared to standard spatial and frequency domain normalized cross-correlation in terms of computational complexity. The capabilities of the algorithm are illustrated in a complex scene.