Adapting scale by minimising spectral defocusing for shape from texture

Spectral analysis provides a powerful means of estimating the perspective pose of texture planes. Unfortunately one of the problems that restricts the utility of the method is the need to set the size of the spectral window. For texture planes viewed under extreme perspective distortion, the spectral frequency density may vary rapidly across the image plane. If the size of the window is mismatched to the underlying texture distribution, then the estimated frequency spectrum may become severely defocused. This in turn limits the accuracy of perspective pose estimation. The aim in this paper is to describe an adaptive method for setting the size of the spectral window. We provide an analysis which shows that there is a window size that minimises the degree of defocusing