Abstract
Phase unwrapping continues to be an important step in those techniques that obtain the phase from Fourier-transforms; Fringe pattern analysis, Speckle Interferometry, and Phase Recovery among others. In this Letter we propose a fast two-dimensional phase unwrapping algorithm which consists of a reconstruction of the wrapped phase by modal least-squares estimation. This algorithm has been developed to work with continuous phases that can be developed as a linear combination of a set of orthogonal polynomials. Theoretical description of the method and simulations are presented.
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