{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T16:01:50Z","timestamp":1776096110122,"version":"3.50.1"},"reference-count":19,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,5,9]],"date-time":"2023-05-09T00:00:00Z","timestamp":1683590400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and technology research and development plan of China National Railway Group Co., Ltd.","award":["P2021G014"],"award-info":[{"award-number":["P2021G014"]}]},{"name":"Science and technology research and development plan of China National Railway Group Co., Ltd.","award":["2021YJ309"],"award-info":[{"award-number":["2021YJ309"]}]},{"name":"Research and Development Plan of China Academy of Railway Sciences Co., Ltd.","award":["P2021G014"],"award-info":[{"award-number":["P2021G014"]}]},{"name":"Research and Development Plan of China Academy of Railway Sciences Co., Ltd.","award":["2021YJ309"],"award-info":[{"award-number":["2021YJ309"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The non-coplanar lasers on both sides of the rail during full-section rail profile measurement based on line-structured light vision will cause the measured profile to be distorted, resulting in measurement errors. Currently, in the field of rail profile measurement, there are no effective methods for evaluating laser plane attitude, and it is impossible to determine the degree of laser coplanarity quantitatively and accurately. This study proposes an evaluation method based on fitting planes in response to this problem. Real-time fitting of laser planes with three planar targets of different heights provides information about the laser plane attitude on both sides of the rails. On this basis, laser coplanarity evaluation criteria were developed to determine whether the laser planes on both sides of the rails are coplanar. Using the method in this study, the laser plane attitude can be quantified and accurately assessed on both sides, effectively resolving the problem with traditional methods that can only assess the laser plane attitude qualitatively and roughly, thereby providing a solid foundation for calibration and error correction of the measurement system.<\/jats:p>","DOI":"10.3390\/s23104586","type":"journal-article","created":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T01:57:51Z","timestamp":1683683871000},"page":"4586","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Laser Plane Attitude Evaluation Method for Rail Profile Measurement Sensors"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7909-5203","authenticated-orcid":false,"given":"Le","family":"Wang","sequence":"first","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Hao","family":"Wang","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Qiang","family":"Han","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Yue","family":"Fang","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Shengchun","family":"Wang","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Ning","family":"Wang","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Guoqing","family":"Li","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]},{"given":"Shengwei","family":"Ren","sequence":"additional","affiliation":[{"name":"Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1177\/0954409718795714","article-title":"Use of a 3D model to improve the performance of laser-based railway track inspection","volume":"233","author":"Ye","year":"2018","journal-title":"Proc. Inst. Mech. Eng. Part F J. Rail Rapid Transit"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2684","DOI":"10.1109\/TIA.2016.2524459","article-title":"A profile measurement system for rail quality assessment during manufacturing","volume":"52","author":"Molleda","year":"2016","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"455","DOI":"10.32604\/iasc.2020.013922","article-title":"Contactless rail profile measurement and rail fault diagnosis approach using featured pixel counting","volume":"26","author":"Karaduman","year":"2020","journal-title":"Intell. Autom. Soft Comput."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1074","DOI":"10.1109\/TITS.2019.2901633","article-title":"The outlier and integrity detection of rail profile based on profile registration","volume":"21","author":"Li","year":"2020","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1080\/00423114.2021.1977967","article-title":"A methodology for alignment of measured rail profiles in turnouts as a basis for reliable vehicle\/track interaction simulations","volume":"61","author":"Fuchs","year":"2023","journal-title":"Veh. Syst. Dyn."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"108362","DOI":"10.1016\/j.measurement.2020.108362","article-title":"Automatic laser profile recognition and fast tracking for structured light measurement using deep learning and template matching","volume":"169","author":"Wang","year":"2020","journal-title":"Measurement"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1109\/TIM.2017.2784039","article-title":"Distortion rectifying for dynamically measuring rail profile based on self-calibration of multiline structured Light","volume":"67","author":"Wang","year":"2018","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_8","first-page":"1012004","article-title":"Rail longitudinal calibration method for profile measurement system","volume":"41","author":"Wang","year":"2021","journal-title":"Acta Opt. Sin."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.optlastec.2013.02.004","article-title":"Motion deviation rectifying method of dynamically measuring rail wear based on multi-line structured-light vision","volume":"50","author":"Sun","year":"2013","journal-title":"Opt. Laser Technol."},{"key":"ref_10","first-page":"145","article-title":"Fast tracking algorithm of rail profile under vehicle dynamice conditions","volume":"41","author":"Zhao","year":"2020","journal-title":"China Railw. Sci."},{"key":"ref_11","first-page":"162","article-title":"Research on fast and robust matching algorithm in inspection of full cross-section rail profile","volume":"41","author":"Feng","year":"2019","journal-title":"J. China Railw. Soc."},{"key":"ref_12","unstructured":"Zhan, D., Wu, X., Xiang, W., Xiang, W., Cao, W., Tang, L., Wang, K., and Deng, H. (2020). Laser Adjusting Mechanism and Method for 2D Laser Measuring Instrument. (CN111982059A), China Patent."},{"key":"ref_13","first-page":"1358","article-title":"A three-dimensional scanning method for large workpiece by monocular structure light","volume":"48","author":"Chen","year":"2018","journal-title":"LaserInfrared"},{"key":"ref_14","unstructured":"Wu, B., Feng, Y., and Yao, P. (2019). A Calibration Device for Two Dimensional Laser Displacement Sensor. (CN110793459A), China Patent."},{"key":"ref_15","unstructured":"Zhang, D., Li, Q., and Chen, D.J. (2019). Coplanar Adjustment System and Method of Laser Profilometer Array. (CN110057314B), China Patent."},{"key":"ref_16","first-page":"957","article-title":"Study on line structure light-plane calibration in rail matching","volume":"47","author":"Ju","year":"2017","journal-title":"LaserInfrared"},{"key":"ref_17","first-page":"0604002","article-title":"Correction Method for Laser Noncoplanar Error for Rail Profile Measurement System","volume":"49","author":"Wang","year":"2022","journal-title":"Chin. J. Lasers"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"85","DOI":"10.4203\/ijrt.2.4.5","article-title":"Wheel and rail profile wear on small radius curved tracks and its effect on derailment coefficients: Measurement and simulation","volume":"2","author":"Sugiyama","year":"2013","journal-title":"Int. J. Railw. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1330","DOI":"10.1109\/34.888718","article-title":"A flexible new technique for camera calibration","volume":"22","author":"Zhang","year":"2000","journal-title":"IEEE Trans. Pattern Anal. Mach. 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