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Planar orientation from blur gradients in a single image

We present a focus-based method to recover the orientation of a textured planar surface patch from a single image. The method exploits the relationship between the orientation of equifocal (i.e. uniformly-blurred) contours in the image and the plane's tilt and slant angles. Compared to previous methods that determine planar orientation, we make fewer assumptions about the texture and remove the restriction that images must be acquired through a pinhole aperture. Our method estimates slant and tilt of an image patch in a single image, as compared to depth from defocus methods that require two or more input images. Experiments are performed using a large set of test images.