Robust wrapping-free phase retrieval method based on weighted least squares method |
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| Institution: | 1. School of Physics, Shandong University, Jinan 250100, China;2. School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China;3. Department of engineering mechanics, Dalian University of Technology, Dalian 116024, China;4. School of civil engineering and architecture, Jinan University, Jinan 2250020, China;1. Department of Materials Science and Engineering, The Ohio State University, 2041 College Rd., Columbus, OH 43210, United States;2. Robotics Institute, School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, PR China;1. Division of Digital Media Technology, Sangmyung University, Seoul, 110-743, South Korea;2. Department of Optometry, Eulji University, 553, Sanseong-daero, Sujeong-gu, Seongnam-si, Gyonggi-do, South Korea;1. Ultrasound Elasticy Imaging Laboratory (UEIL), Department of Biomedical Engineering, Columbia University, 51 Engineering Terrace 1210 Amsterdam Avenue, New York 10031, USA;2. Biophysics and Biomedical Physics Laboratory (Bimef), Department of Physics, Antwerp University, 171 Groenenborgerlaan; Antwerp, Antwerp 2020, Belgium;3. Laser and Fiber Electronics Group (LFEG), Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, Lower Silesia, Wroclaw 50-372, Poland;1. University of Chinese Academy of Sciences, Beijing 100049, China;2. School of Computer Science & Technology, Sichuan University, Chengdu 610064, China;3. The Institute of Optics and Electronics, Chinese Academy of Science, Chengdu 610209, China |
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| Abstract: | Phase unwrapping is one of the most challenging processes in many profilometry techniques. To sidestep the phase unwrapping process, Perciante et al. (2015) proposed a wrapping-free method to retrieve the phase based on the direct integration of the spatial derivatives of the fringe patterns. However, this method is only applicable to objects with phase continuity, so it may fail to handle fringe patterns containing complicated singularities such as noise, shadows, shears and surface discontinuities. In the light of this problems, a robust wrapping-free phase retrieval method is proposed that is based on the combined use of Perciante's method and the weighted least squares method. Two partial derivatives of the desired phase are obtained from the fringe patterns, while the carrier is eliminated using the direct phase difference method. The phase singularities are determined using a derivative variance correlation map (DVCM), and the weighting coefficient is obtained from the binary mask of the reverse DVCM. Simulations and experiments are conducted to prove the validity of the proposed method. The results are analyzed and compared with those of Perciante's method demonstrating that in addition to maintaining the advantage of sidestepping the phase unwrapping process, the proposed method is available for measuring objects with some types of singularities sources. |
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