Unwrapping MR phase maps with Chebyshev moments

Previous polynomial model based phase unwrapping algorithms relied on least squares fitting to determine the polynomial coefficients. This work presents a phase unwrapping algorithm, based on the method of moments, and calculates the polynomial coefficients using integration. The phase unwrapping algorithm is developed using Chebyshev polynomials. The phase unwrapping algorithm implemented in this work is tested on 2-D phase maps obtained from a 3 Tesla magnetic resonance scanner. In this work, the effectiveness of the phase unwrapping algorithm on MR phase maps is investigated.