Microsoft Corporation
PHASE UNWRAPPING WITH MULTIPLE WAVELENGTHS ON A FLAT TORUS

Abstract:

Example imaging systems are disclosed. One example includes a signal source and a signal receiver configured to receive a reflected electromagnetic signal from an imaged object. The imaging system further includes a processor configured to, for each of N wavelengths, determine a phase value of a reflected component of the reflected electromagnetic signal having that wavelength. The processor may compute an estimated distance to the imaged object at least in part by mapping the plurality of phase values to a 2N-dimensional vector, and computing a plurality of zeroes of a trigonometric polynomial. For each of the plurality of zeroes, computing the estimated distance may further include computing a respective geodesic distance between the 2N-dimensional vector and a point along the curve evaluated at that zero, and selecting and outputting a shortest geodesic distance multiplied by a least common multiple of the wavelengths.