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Phase unwrapping is the reconstruction of the original true phase of a wave from its modulo 2π values. It originates in a variety of applications, such as synthetic aperture radar, magnetic resonance imaging, and adaptive optics. In this article, the problem of two‐dimensional phase unwrapping is defined and the challenges are addressed. A variety of established approaches to the problems are reviewed and compared, and their advantages and disadvantages are discussed. Among the many phase unwrapping applications, the article focussed on magnetic resonance imaging and explains how phase unwrapping is used in field mapping, inversion recovery, and flow imaging.