3-D Planar Orientation from Texture: Estimating Vanishing Point from Local Spectral Analysis

This paper describes a novel method for recovering the perspective geometry of textured surfaces from local spectral moments. It commences by computing the Fourier power spectrum at each of a series of local neighbourhoods. We illustrate how the vanishing point of the global perspective geometry can be estimated from local spectral moments. This is a two-step process. We commence by identifying contours which connect the local spectral moments of equal power. These contours are perpendicular to the tilt direction at the image plane. The second step is to triangulate the vanishing point. We do this by using a correlation method to identify lines with identical oriented spectral moment. In this way we can use a sample of spectral moments estimate the vanishing point location.