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In order to solve this problem, a point-wise phase estimation method based on a neural network (PWPE-NN) is proposed in this paper. The complex nonlinear mapping relationship between the gray values and the phase under non-sinusoidal distortion is constructed by using the simple neural network model. It establishes a novel implicit expression for phase solution without complicated measurement operations. Compared with the previous method of combining local image information, it can accurately calculate each phase value by point. The comparison results show that the traditional method is with periodic phase errors, while the proposed method can effectively eliminate phase errors caused by non-sinusoidal phase shifting.<\/jats:p>","DOI":"10.3390\/s22124478","type":"journal-article","created":{"date-parts":[[2022,6,13]],"date-time":"2022-06-13T22:00:38Z","timestamp":1655157638000},"page":"4478","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Point-Wise Phase Estimation Method in Fringe Projection Profilometry under Non-Sinusoidal Distortion"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8970-4092","authenticated-orcid":false,"given":"Zhuoyi","family":"Yin","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Southeast University, Nanjing 211189, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Science, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chuang","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Science, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoyuan","family":"He","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Southeast University, Nanjing 211189, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fujun","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Southeast University, Nanjing 211189, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1364\/AOP.3.000128","article-title":"Structured-Light 3D Surface Imaging: A Tutorial","volume":"3","author":"Geng","year":"2011","journal-title":"Adv. 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