Compressive holographic two-dimensional localization with 1/30^2 subpixel accuracy

We propose the use of compressive holography for two-dimensional (2D) subpixel motion localization. Our approach is based on computational implementation of edge-extraction using a Fourier-plane spiral phase mask, followed by compressive reconstruction of the edge of the object. Using this technique and relatively low-cost computer and piezo motion stage to establish ground truth for the motion, we demonstrated localization within 1/30th of a camera pixel in each linear dimension.