Phase unwrapping is so important in interferometry that it determines the veracity of the absolute phase value.Goldstein’s branch-cut algorithm performs path-independent algorithm that uses a nearest neighbor heuristic to link and balance the residues based on identifying the residues.A modified nearest neighbor algorithm is presented based on the principle,the mathematic formula of the Goldstein’s algorithm and in-depth analysis of the key problem of phase unwrapping.It not only holds the advantage of the Goldstein’s algorithm but also solves the problem that the Goldstein’s algorithm is incapable to be used at high residue densities.Therefore,it extends the application of the Goldstein’s algorithm and enhances the precision of phase unwrapping.
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