Matching for Affine Transformed Pictures Using Hough Planes

Considering the relationship between the deformation on Hough planes and the affine transformation on raw images, the authors have proposed a matching algorithm ; four-dimensional optimization problem to search rotation, scale, and two-translation parameters has been decomposed into two-stages of one-dimensional and one stage of twodimensional optimization problems. The algorithm achieves the reduction of calculating cost to search the four affine parameters. Furthermore, it works well on the images like human faces which are difficult to extract the feature points or segments since the Hough planes reflect global structure of straight lines on the raw images.