{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T09:47:30Z","timestamp":1770457650066,"version":"3.49.0"},"reference-count":30,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,11,20]],"date-time":"2019-11-20T00:00:00Z","timestamp":1574208000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Liaoning Revitalization Talents Programs","award":["XLYC1802077, XLYC1802038"],"award-info":[{"award-number":["XLYC1802077, XLYC1802038"]}]},{"name":"Liaoning PhD Research Start-up Fund","award":["2019BS181"],"award-info":[{"award-number":["2019BS181"]}]},{"name":"Liaoning Provincial Department of Education Youth Breeding Project","award":["LQGD2019007"],"award-info":[{"award-number":["LQGD2019007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Great length, large weight and other factors may cause difficulty in measuring the profile accuracy of the double-headed screw rotor. To solve this problem, an on-machine measuring system based on a laser-displacement sensor (LDS) was designed and implemented in this paper by taking an LXK100 four-axis whirlwind milling machine as the carrier. To improve the measurement accuracy of the system, the generalized variable-structural-element morphological method, polynomial interpolation algorithm and ellipse fitting method were first combined to realize the rapid subpixel centroid extraction from a noise-containing spot image, thus improving the data acquisition accuracy of the LDS, and then the hybrid method was experimentally verified. Next, a wavelet threshold function with high-order differentiability and adaptive wavelet coefficient contractility was constructed based on the hyperbolic tangent function, so as to inhibit the disturbance from random errors and preserve real profile information, and this method was simulated and verified. Subsequently, a smoothing algorithm for point cloud data was proposed based on the Lagrange multiplier method to avoid the defect of the piecewise curve-fitting method, that is, function continuity and differentiability could not be satisfied at piecewise points. Finally, the profile accuracy was calculated in real time according to the data reconstruction result and the machining quality was judged. The measurement experiment of the double-headed screw rotor indicates that the proposed on-machine measuring system can complete the profile accuracy measurement for a screw pitch within 39.7 s with measurement accuracy reaching \u00b18 \u03bcm, and the measurement uncertainties of the major axis, minor axis and screw pitch are 0.72 \u03bcm, 0.69 \u03bcm and 1.24 \u03bcm, respectively. Therefore, the measurement accuracy and efficiency are both remarkably improved.<\/jats:p>","DOI":"10.3390\/s19235059","type":"journal-article","created":{"date-parts":[[2019,11,20]],"date-time":"2019-11-20T11:06:03Z","timestamp":1574247963000},"page":"5059","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Laser-Based On-Machine Measuring System for Profile Accuracy of Double-Headed Screw Rotor"],"prefix":"10.3390","volume":"19","author":[{"given":"Zhixu","family":"Dong","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fangsu","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xingwei","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weijun","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2665","DOI":"10.1007\/s00170-019-03598-1","article-title":"An analytical method for surface roughness prediction in precision grinding of screw rotors","volume":"103","author":"Liu","year":"2019","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"106881","DOI":"10.1016\/j.measurement.2019.106881","article-title":"Research on the on-line dimensional accuracy measurement method of conical spun workpieces based on machine vision technology","volume":"148","author":"Xiao","year":"2019","journal-title":"Measurement"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Li, X.Q., Wang, Z., and Fu, L.H. (2016). A laser-based measuring system for online quality control of car engine block. Sensors, 16.","DOI":"10.3390\/s16111877"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2715","DOI":"10.1109\/JSEN.2014.2314753","article-title":"Limitation of a line-of-light online paper surface measurement system","volume":"14","author":"Alam","year":"2014","journal-title":"IEEE Sens. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"90","DOI":"10.3390\/s110100090","article-title":"3D geometrical inspection of complex geometry parts using a novel laser triangulation sensor and a robot","volume":"11","author":"Brosed","year":"2011","journal-title":"Sensors"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"744","DOI":"10.1016\/j.cad.2010.02.003","article-title":"Identification and optimization of key process parameters in noncontact laser scanning for reverse engineering","volume":"42","author":"Korosec","year":"2010","journal-title":"Comput.-Aided Des."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"18225","DOI":"10.1364\/OE.21.018225","article-title":"Analysis of imaging for laser triangulation sensors under Scheimpflug rule","volume":"21","author":"Miks","year":"2013","journal-title":"Opt. Express"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Yang, H.W., Tao, W., Zhang, Z.Q., Zhao, S.W., Yin, X.Q., and Zhao, H. (2017). Reduction of the influence of laser beam directional dithering in a laser triangulation displacement probe. Sensors, 17.","DOI":"10.3390\/s17051126"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.measurement.2018.04.087","article-title":"Accurate light source position estimation for a laser triangulation measurement device using particle swarm optimization","volume":"125","author":"Mentin","year":"2018","journal-title":"Measurement"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.optlaseng.2016.05.009","article-title":"A MAP estimator based on geometric Brownian motion for sample distances of laser triangulation data","volume":"86","author":"Herrmann","year":"2016","journal-title":"Opt. Lasers Eng."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2489","DOI":"10.3390\/s140202489","article-title":"Limits of active laser triangulation as an instrument for high precision plant imaging","volume":"14","author":"Paulus","year":"2014","journal-title":"Sensors"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1109\/JSEN.2013.2281913","article-title":"Real time surface measurement technique in a wide range of wavelengths spectrum","volume":"14","author":"Alam","year":"2014","journal-title":"IEEE Sens. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"114107","DOI":"10.1117\/1.OE.57.11.114107","article-title":"Full simulation model for laser triangulation measurement in an inhomogeneous refractive index field","volume":"57","author":"Beermann","year":"2018","journal-title":"Opt. Eng."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/j.ijleo.2018.04.057","article-title":"Error analysis and correction for color in laser triangulation measurement","volume":"168","author":"Li","year":"2018","journal-title":"Optik"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"667","DOI":"10.2478\/v10178-011-0063-7","article-title":"Evaluation of the predictive segmentation algorithm for the laser triangulation method","volume":"18","author":"Reiner","year":"2011","journal-title":"Metrol. Meas. Syst."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"084102","DOI":"10.1117\/1.OE.57.8.084102","article-title":"Laser-based two-dimensional position measurement of a cylindrical object for precision alignment","volume":"57","author":"Dhawan","year":"2018","journal-title":"Opt. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"12782","DOI":"10.3390\/s150612782","article-title":"A rapid method to achieve aero-engine blade form detection","volume":"15","author":"Sun","year":"2015","journal-title":"Sensors"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Li, Y.H., Zhou, J.B., Huang, F.S., and Liu, L.J. (2017). Sub-pixel extraction of laser stripe center using an improved gray-gravity method. Sensors, 17.","DOI":"10.3390\/s17040814"},{"key":"ref_19","first-page":"385","article-title":"Super-resolution algorithm for laser triangulation measurement","volume":"38","author":"Wu","year":"2017","journal-title":"Lasers Eng."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Selami, Y., Tao, W., Gao, Q., Yang, H.W., and Zhao, H. (2018). A scheme for enhancing precision in 3-dimensional positioning for non-contact measurement systems based on laser triangulation. Sensors, 18.","DOI":"10.3390\/s18020504"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2653","DOI":"10.1364\/AO.56.002653","article-title":"Laser stripe extraction method in industrial environments utilizing self-adaptive convolution technique","volume":"56","author":"Yin","year":"2017","journal-title":"Appl. Opt."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"13442","DOI":"10.1364\/OE.21.013442","article-title":"Statistical behavior analysis and precision optimization for the laser stripe center detector based on Steger\u2019s algorithm","volume":"21","author":"Qi","year":"2013","journal-title":"Opt. Express"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5539","DOI":"10.1364\/AO.55.005539","article-title":"Rapid and automatic 3D body measurement system based on a GPU-Steger line detector","volume":"55","author":"Liu","year":"2016","journal-title":"Appl. Opt."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1364\/AO.56.000823","article-title":"Robust laser stripe extraction for three-dimensional reconstruction based on a cross-structured light sensor","volume":"56","author":"He","year":"2017","journal-title":"Appl. Opt."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1007\/s11554-015-0521-7","article-title":"An FPGA implementation for real-time edge detection","volume":"15","author":"Jiang","year":"2018","journal-title":"J. Real-Time Image Process."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1093\/biomet\/81.3.425","article-title":"Ideal spatial adaptation by wavelet shinkage","volume":"81","author":"Donoho","year":"1994","journal-title":"Biometrika"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"11205","DOI":"10.3390\/s120811205","article-title":"Noise smoothing for structural vibration test signals using an improved wavelet thresholding technique","volume":"12","author":"Yi","year":"2012","journal-title":"Sensors"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Xu, J., Wang, Z.B., Tan, C., Si, L., Zhang, L., and Liu, X.H. (2016). Adaptive wavelet threshold denoising method for machinery sound based on improved fruit fly optimization algorithm. Appl. Sci., 6.","DOI":"10.3390\/app6070199"},{"key":"ref_29","first-page":"549","article-title":"Denoising of pulsar signal based on wavelet domain guided threshold function and adaptive threshold","volume":"61","author":"Gao","year":"2012","journal-title":"Acta Phys. Sin.-CH. ED."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Dong, Z.X., Sun, X.W., Chen, C.Z., and Sun, M.N. (2018). A fast and on-machine measuring system using the laser displacement sensor for the contour parameters of the drill pipe thread. 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