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Imaging Sci."],"published-print":{"date-parts":[[2025,6,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>In this paper, we derive a new class of methods for the classic 2D phase unwrapping problem of recovering a phase function from its wrapped form. For this, we consider the wrapped phase as a wavefront aberration in an optical system, and use reconstruction methods for (digital) wavefront sensors for its recovery. The key idea is that mathematically, common wavefront sensors are insensitive to whether an incoming wavefront is wrapped or not. However, typical reconstructors for these sensors are optimized to compute smooth wavefronts. Thus, digitally \u201cpropagating\" a wrapped phase through such a sensor and then applying one of these reconstructors results in a smooth unwrapped phase. First, we show how this principle can be applied to derive phase unwrapping algorithms based on digital Shack\u2013Hartmann and Fourier-type wavefront sensors. Then, we numerically test our approach on an unwrapping problem appearing in a free-space optical communications project currently under development, and compare the results to those obtained with other state-of-the-art algorithms.<\/jats:p>","DOI":"10.1137\/24m1680994","type":"journal-article","created":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T08:54:12Z","timestamp":1747212852000},"page":"1260-1283","source":"Crossref","is-referenced-by-count":1,"title":["On Phase Unwrapping via Digital Wavefront Sensors"],"prefix":"10.1137","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8494-5188","authenticated-orcid":true,"given":"Simon","family":"Hubmer","sequence":"first","affiliation":[{"name":"Corresponding author. Johannes Kepler University Linz, Institute of Industrial Mathematics, 4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Victoria","family":"Laidlaw","sequence":"additional","affiliation":[{"name":"Johannes Kepler University Linz, Institute of Industrial Mathematics, 4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ronny","family":"Ramlau","sequence":"additional","affiliation":[{"name":"Johannes Kepler University Linz, Institute of Industrial Mathematics, 4040 Linz, Austria, and Johann Radon Institute Linz, 4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9542-5145","authenticated-orcid":true,"given":"Ekaterina","family":"Sherina","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, University of Vienna, 1090 Vienna, Austria, and Christian Doppler Laboratory for Mathematical Modeling and Simulation of Next Generations of Ultrasound Devices (MaMSi), 1090 Vienna, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bernadett","family":"Stadler","sequence":"additional","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,5,13]]},"reference":[{"key":"ref1","unstructured":"ALASCA Advanced Laser Guide Star Adaptive Optics for Satellite Communication Assessments, https:\/\/connectivity.esa.int\/projects\/alasca, (17 August 2023)."},{"key":"ref2","series-title":"Proceedings of the SPIE 9909","first-page":"99097E","volume-title":"Adaptive Optics Systems V","author":"Agapito G.","year":"2016"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.softx.2018.02.005"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1117\/12.2513819"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2006.885252"},{"key":"ref6","doi-asserted-by":"crossref","unstructured":"R. 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