Development of surface reconstruction algorithms for optical interferometric measurement

Dongxu WU, Fengzhou FANG

PDF(6207 KB)
PDF(6207 KB)
Front. Mech. Eng. ›› 2021, Vol. 16 ›› Issue (1) : 1-31. DOI: 10.1007/s11465-020-0602-6
REVIEW ARTICLE
REVIEW ARTICLE

Development of surface reconstruction algorithms for optical interferometric measurement

Author information +
History +

Abstract

Optical interferometry is a powerful tool for measuring and characterizing areal surface topography in precision manufacturing. A variety of instruments based on optical interferometry have been developed to meet the measurement needs in various applications, but the existing techniques are simply not enough to meet the ever-increasing requirements in terms of accuracy, speed, robustness, and dynamic range, especially in on-line or on-machine conditions. This paper provides an in-depth perspective of surface topography reconstruction for optical interferometric measurements. Principles, configurations, and applications of typical optical interferometers with different capabilities and limitations are presented. Theoretical background and recent advances of fringe analysis algorithms, including coherence peak sensing and phase-shifting algorithm, are summarized. The new developments in measurement accuracy and repeatability, noise resistance, self-calibration ability, and computational efficiency are discussed. This paper also presents the new challenges that optical interferometry techniques are facing in surface topography measurement. To address these challenges, advanced techniques in image stitching, on-machine measurement, intelligent sampling, parallel computing, and deep learning are explored to improve the functional performance of optical interferometry in future manufacturing metrology.

Keywords

surface topography / measurement / optical interferometry / coherence envelope / phase-shifting algorithm

Cite this article

Download citation ▾
Dongxu WU, Fengzhou FANG. Development of surface reconstruction algorithms for optical interferometric measurement. Front. Mech. Eng., 2021, 16(1): 1‒31 https://doi.org/10.1007/s11465-020-0602-6

References

[1]
Brinksmeier E, Gläbe R, Schönemann L. Review on diamond-machining processes for the generation of functional surface structures. CIRP Journal of Manufacturing Science and Technology, 2012, 5(1): 1–7
CrossRef Google scholar
[2]
Jain V, Ranjan P, Suri V, Chemo-mechanical magneto-rheological finishing (CMMRF) of silicon for microelectronics applications. CIRP Annals-Manufacturing Technology, 2010, 59(1): 323–328
CrossRef Google scholar
[3]
Yamamura K, Takiguchi T, Ueda M, Plasma assisted polishing of single crystal SiC for obtaining atomically flat strain-free surface. CIRP Annals-Manufacturing Technology, 2011, 60(1): 571–574
CrossRef Google scholar
[4]
Schmidt M, Merklein M, Bourell D, Laser based additive manufacturing in industry and academia. CIRP Annals-Manufacturing Technology, 2017, 66(2): 561–583
CrossRef Google scholar
[5]
Hocken R, Chakraborty N, Brown C. Optical metrology of surfaces. CIRP Annals-Manufacturing Technology, 2005, 54(2): 169–183
CrossRef Google scholar
[6]
Savio E, De Chiffre L, Schmitt R. Metrology of freeform shaped parts. CIRP Annals-Manufacturing Technology, 2007, 56(2): 810–835
CrossRef Google scholar
[7]
Zhang X D, Zeng Z, Liu X L, Compensation strategy for machining optical freeform surfaces by the combined on- and off-machine measurement. Optics Express, 2015, 23(19): 24800–24810
CrossRef Google scholar
[8]
Liu X L, Zhang X D, Fang F Z, Identification and compensation of main machining errors on surface form accuracy in ultra-precision diamond turning. International Journal of Machine Tools and Manufacture, 2016, 105: 45–57
CrossRef Google scholar
[9]
Shore P, Cunningham C, DeBra D, Precision engineering for astronomy and gravity science. CIRP Annals-Manufacturing Technology, 2010, 59(2): 694–716
CrossRef Google scholar
[10]
Takaya Y. In-process and on-machine measurement of machining accuracy for process and product quality management: A review. International Journal of Automotive Technology, 2014, 8(1): 4–19
[11]
Lee J C, Shimizu Y, Gao W, Precision evaluation of surface form error of a large-scale roll workpiece on a drum roll lathe. Precision Engineering, 2014, 38(4): 839–848
CrossRef Google scholar
[12]
Novak E, Stout T. Interference microscopes for tribology and corrosion quantification. In: Proceedings of SPIE 6616, Optical Measurement Systems for Industrial Inspection V. Munich: SPIE, 2007, 66163B
CrossRef Google scholar
[13]
Coppola G, Ferraro P, Iodice M, A digital holographic microscope for complete characterization of microelectromechanical systems. Measurement Science and Technology, 2004, 15(3): 529–539
CrossRef Google scholar
[14]
Singh V R, Asundi A. In-line digital holography for dynamic metrology of MEMS. Chinese Optics Letters, 2009, 7(12): 1117–1122
CrossRef Google scholar
[15]
Potcoava M, Kim M. Optical tomography for biomedical applications by digital interference holography. Measurement Science and Technology, 2008, 19(7): 074010
CrossRef Google scholar
[16]
Merola F, Memmolo P, Miccio L, Tomographic flow cytometry by digital holography. Light, Science & Applications, 2017, 6(4): e16241
CrossRef Google scholar
[17]
Fang F Z, Zhang X D, Weckenmann A, Manufacturing and measurement of freeform optics. CIRP Annals-Manufacturing Technology, 2013, 62(2): 823–846
CrossRef Google scholar
[18]
Taylor Hobson Ltd. Form Talysurf PGI Optics Surface Profilometers Brochure. Available from Taylor Hobson website, 2018
[19]
Bruker Corporation. Dimension Icon Atomic Force Microscope Brochure. Available from Bruker website, 2013
[20]
Zygo Corporation. NewViewTM 9000 3D Optical Surface Profiler Brochure. Available from Zygo website, 2018
[21]
OLYMPUS Corporation. LEXT OLS5000 3D Measuring Laser Microscope Brochure. Available from OLYMPUS website, 2018
[22]
Moore Nanotech. Workpiece measurement and Error Compensation System (WECS) Brochure. Available from Moore Nanotech website, 2020
[23]
Vorburger T V, Rhee H G, Renegar T B, Comparison of optical and stylus methods for measurement of surface texture. International Journal of Advanced Manufacturing Technology, 2007, 33(1–2): 110–118
CrossRef Google scholar
[24]
Villarrubia J S. Algorithms for scanned probe microscope image simulation, surface reconstruction, and tip estimation. Journal of Research of the National Institute of Standards and Technology, 1997, 102(4): 425
CrossRef Google scholar
[25]
Wang Y, Xie F, Ma S, Review of surface profile measurement techniques based on optical interferometry. Optics and Lasers in Engineering, 2017, 93: 164–170
CrossRef Google scholar
[26]
Nomura T, Yoshikawa K, Tashiro H, On-machine shape measurement of workpiece surface with Fizeau interferometer. Precision Engineering, 1992, 14(3): 155–159
CrossRef Google scholar
[27]
Shore P, Morantz P, Lee D, Manufacturing and measurement of the MIRI spectrometer optics for the James Webb space telescope. CIRP Annals-Manufacturing Technology, 2006, 55(1): 543–546
CrossRef Google scholar
[28]
Jiang X. In situ real-time measurement for micro-structured surfaces. CIRP Annals-Manufacturing Technology, 2011, 60(1): 563–566
CrossRef Google scholar
[29]
Wang D, Fu X, Xu P, Compact snapshot dual-mode interferometric system for on-machine measurement. Optics and Lasers in Engineering, 2020, 132: 106129
CrossRef Google scholar
[30]
Gao W, Haitjema H, Fang F Z, On-machine and in-process surface metrology for precision manufacturing. CIRP Annals-Manufacturing Technology, 2019, 68(2): 843–866
CrossRef Google scholar
[31]
Li D, Wang B, Tong Z, On-machine surface measurement and applications for ultra-precision machining: A state-of-the-art review. International Journal of Advanced Manufacturing Technology, 2019, 104(1–4): 831–847
CrossRef Google scholar
[32]
de Groot P. Principles of interference microscopy for the measurement of surface topography. Advances in Optics and Photonics, 2015, 7(1): 1–65
CrossRef Google scholar
[33]
Zuo C, Feng S, Huang L, Phase shifting algorithms for fringe projection profilometry: A review. Optics and Lasers in Engineering, 2018, 109: 23–59
CrossRef Google scholar
[34]
Malacara D. Optical Shop Testing. Hoboken: John Wiley & Sons, 2007, 547–666
[35]
Creath K. V phase-measurement interferometry techniques. Progress in Optics, 1988, 26: 349–393
CrossRef Google scholar
[36]
Cheng Y Y, Wyant J C. Multiple-wavelength phase-shifting interferometry. Applied Optics, 1985, 24(6): 804–807
CrossRef Google scholar
[37]
Lannes A. Integer ambiguity resolution in phase closure imaging. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 2001, 18(5): 1046–1055
CrossRef Google scholar
[38]
Fornaro G, Franceschetti G, Lanari R, Robust phase-unwrapping techniques: A comparison. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 1996, 13(12): 2355–2366
CrossRef Google scholar
[39]
Davé D P, Akkin T, Milner T E, Phase-sensitive frequency-multiplexed optical low-coherence reflectometery. Optics Communications, 2001, 193(1–6): 39–43
CrossRef Google scholar
[40]
Wyant J C. White light interferometry. Proceedings of SPIE 4737, Holography: A Tribute to Yuri Denisyuk and Emmett Leith, 2002, 98–108
CrossRef Google scholar
[41]
Cheng Y Y, Wyant J C. Two-wavelength phase shifting interferometry. Applied Optics, 1984, 23(24): 4539–4543
CrossRef Google scholar
[42]
Onodera R, Ishii Y. Two-wavelength phase-shifting interferometry insensitive to the intensity modulation of dual laser diodes. Applied Optics, 1994, 33(22): 5052–5061
CrossRef Google scholar
[43]
Abdelsalam D, Kim D. Two-wavelength in-line phase-shifting interferometry based on polarizing separation for accurate surface profiling. Applied Optics, 2011, 50(33): 6153–6161
CrossRef Google scholar
[44]
Decker J E, Miles J R, Madej A A, Increasing the range of unambiguity in step-height measurement with multiple-wavelength interferometry—Application to absolute long gauge block measurement. Applied Optics, 2003, 42(28): 5670–5678
CrossRef Google scholar
[45]
Warnasooriya N, Kim M. LED-based multi-wavelength phase imaging interference microscopy. Optics Express, 2007, 15(15): 9239–9247
CrossRef Google scholar
[46]
Schmit J, Hariharan P. Two-wavelength interferometric profilometry with a phase-step error-compensating algorithm. Optical Engineering, 2006, 45(11): 115602
CrossRef Google scholar
[47]
Pförtner A, Schwider J. Red-green-blue interferometer for the metrology of discontinuous structures. Applied Optics, 2003, 42(4): 667–673
CrossRef Google scholar
[48]
Upputuri P K, Mohan N K, Kothiyal M P. Measurement of discontinuous surfaces using multiple-wavelength interferometry. Optical Engineering, 2009, 48(7): 073603
CrossRef Google scholar
[49]
Caber P J. Interferometric profiler for rough surfaces. Applied Optics, 1993, 32(19): 3438–3441
CrossRef Google scholar
[50]
Sandoz P, Devillers R, Plata A. Unambiguous profilometry by fringe-order identification in white-light phase-shifting interferometry. Journal of Modern Optics, 1997, 44(3): 519–534
CrossRef Google scholar
[51]
Debnath S K, Kothiyal M P. Experimental study of the phase-shift miscalibration error in phase-shifting interferometry: Use of a spectrally resolved white-light interferometer. Applied Optics, 2007, 46(22): 5103–5109
CrossRef Google scholar
[52]
Yang C, Wax A, Dasari R R, 2π ambiguity-free optical distance measurement with subnanometer precision with a novel phase-crossing low-coherence interferometer. Optics Letters, 2002, 27(2): 77–79
CrossRef Google scholar
[53]
Deck L, de Groot P. High-speed noncontact profiler based on scanning white-light interferometry. Applied Optics, 1994, 33(31): 7334–7338
CrossRef Google scholar
[54]
Harasaki A, Schmit J, Wyant J C. Improved vertical-scanning interferometry. Applied Optics, 2000, 39(13): 2107–2115
CrossRef Google scholar
[55]
Balasubramanian N. US Patent, 4340306, 1982-07-20
[56]
Kumar U P, Haifeng W, Mohan N K, White light interferometry for surface profiling with a colour CCD. Optics and Lasers in Engineering, 2012, 50(8): 1084–1088
CrossRef Google scholar
[57]
Gianto G, Salzenstein F, Montgomery P. Comparison of envelope detection techniques in coherence scanning interferometry. Applied Optics, 2016, 55(24): 6763–6774
CrossRef Google scholar
[58]
Gianto G, Montgomery P, Salzenstein F, Study of robustness of 2D fringe processing in coherence scanning interferometry for the characterization of a transparent polymer film. In: Proceedings of 2016 International Conference on Instrumentation, Control and Automation (ICA). Bandung: IEEE, 2016, 60–65
CrossRef Google scholar
[59]
Zhou Y, Cai H, Zhong L, Eliminating the influence of source spectrum of white light scanning interferometry through time-delay estimation algorithm. Optics Communications, 2017, 391: 1–8
CrossRef Google scholar
[60]
de Groot P. Coherence scanning interferometry. In: Leach R, ed. Optical Measurement of Surface Topography. Berlin: Springer, 2011, 187–208
CrossRef Google scholar
[61]
Fang F Z, Zeng Z, Zhang X D, Measurement of micro-V-groove dihedral using white light interferometry. Optics Communications, 2016, 359: 297–303
CrossRef Google scholar
[62]
de Groot P, Deck L. Surface profiling by analysis of white-light interferograms in the spatial frequency domain. Journal of Modern Optics, 1995, 42(2): 389–401
CrossRef Google scholar
[63]
Kino G S, Chim S S. Mirau correlation microscope. Applied Optics, 1990, 29(26): 3775–3783
CrossRef Google scholar
[64]
Bowe B W, Toal V. White light interferometric surface profiler. Optical Engineering, 1998, 37(6): 1796–1800
CrossRef Google scholar
[65]
Lehmann P, Tereschenko S, Xie W. Fundamental aspects of resolution and precision in vertical scanning white-light interferometry. Surface Topography: Metrology and Properties, 2016, 4(2): 024004
CrossRef Google scholar
[66]
Yamaguchi I, Yamamoto A, Yano M. Surface topography by wavelength scanning interferometry. Optical Engineering, 2000, 39(1): 40–47
CrossRef Google scholar
[67]
Yamamoto A, Yamaguchi I. Profilometry of sloped plane surfaces by wavelength scanning interferometry. Optical Review, 2002, 9(3): 112–121
CrossRef Google scholar
[68]
Kuwamura S, Yamaguchi I. Wavelength scanning profilometry for real-time surface shape measurement. Applied Optics, 1997, 36(19): 4473–4482
CrossRef Google scholar
[69]
Yamamoto A, Kuo C C, Sunouchi K, Surface shape measurement by wavelength scanning interferometry using an electronically tuned Ti: Sapphire laser. Optical Review, 2001, 8(1): 59–63
CrossRef Google scholar
[70]
Yamamoto A, Yamaguchi I. Surface profilometry by wavelength scanning Fizeau interferometer. Optics & Laser Technology, 2000, 32(4): 261–266
CrossRef Google scholar
[71]
Ishii Y. Wavelength-tunable laser-diode interferometer. Optical Review, 1999, 6(4): 273–283
CrossRef Google scholar
[72]
Jiang X, Wang K, Gao F, Fast surface measurement using wavelength scanning interferometry with compensation of environmental noise. Applied Optics, 2010, 49(15): 2903–2909
CrossRef Google scholar
[73]
Muhamedsalih H, Jiang X, Gao F. Comparison of fast Fourier transform and convolution in wavelength scanning interferometry. Proceedings of SPIE 8082, Optical Measurement Systems for Industrial Inspection VII, 2011, 8082: 80820Q
CrossRef Google scholar
[74]
Gao F, Muhamedsalih H, Jiang X. Surface and thickness measurement of a transparent film using wavelength scanning interferometry. Optics Express, 2012, 20(19): 21450–21456
CrossRef Google scholar
[75]
Muhamedsalih H, Jiang X, Gao F. Accelerated surface measurement using wavelength scanning interferometer with compensation of environmental noise. Procedia CIRP, 2013, 10: 70–76
CrossRef Google scholar
[76]
Moschetti G, Forbes A, Leach R K, Phase and fringe order determination in wavelength scanning interferometry. Optics Express, 2016, 24(8): 8997–9012
CrossRef Google scholar
[77]
Zhang T, Gao F, Jiang X. Surface topography acquisition method for double-sided near-right-angle structured surfaces based on dual-probe wavelength scanning interferometry. Optics Express, 2017, 25(20): 24148–24156
CrossRef Google scholar
[78]
Zhang T, Gao F, Muhamedsalih H, Improvement of the fringe analysis algorithm for wavelength scanning interferometry based on filter parameter optimization. Applied Optics, 2018, 57(9): 2227–2234
CrossRef Google scholar
[79]
Swanson E A, Huang D, Hee M R, High-speed optical coherence domain reflectometry. Optics Letters, 1992, 17(2): 151–153
CrossRef Google scholar
[80]
Huang Y C, Chou C, Chou L Y, Polarized optical heterodyne profilometer. Japanese Journal of Applied Physics, 1998, 37(Part 1, No. 1): 351–354
CrossRef Google scholar
[81]
Zhao H, Liang R, Li D, Practical common-path heterodyne surface profiling interferometer with automatic focusing. Optics & Laser Technology, 2001, 33(4): 259–265
CrossRef Google scholar
[82]
Demarest F C. High-resolution, high-speed, low data age uncertainty, heterodyne displacement measuring interferometer electronics. Measurement Science & Technology, 1998, 9(7): 1024–1030
CrossRef Google scholar
[83]
Xie Y, Wu Y. Zeeman laser interferometer errors for high-precision measurements. Applied Optics, 1992, 31(7): 881–884
CrossRef Google scholar
[84]
Gelmini E, Minoni U, Docchio F. Tunable, double-wavelength heterodyne detection interferometer for absolute-distance measurements. Optics Letters, 1994, 19(3): 213–215
CrossRef Google scholar
[85]
Park Y, Cho K. Heterodyne interferometer scheme using a double pass in an acousto-optic modulator. Optics Letters, 2011, 36(3): 331–333
CrossRef Google scholar
[86]
Matsumoto H, Hirai A. A white-light interferometer using a lamp source and heterodyne detection with acousto-optic modulators. Optics Communications, 1999, 170(4–6): 217–220
CrossRef Google scholar
[87]
Hirai A, Matsumoto H. High-sensitivity surface-profile measurements by heterodyne white-light interferometer. Optical Engineering, 2001, 40(3): 387–392
CrossRef Google scholar
[88]
Dai X, Katuo S. High-accuracy absolute distance measurement by means of wavelength scanning heterodyne interferometry. Measurement Science & Technology, 1998, 9(7): 1031–1035
CrossRef Google scholar
[89]
Xu X, Wang Y, Ji Y, A novel dual-wavelength iterative method for generalized dual-wavelength phase-shifting interferometry with second-order harmonics. Optics and Lasers in Engineering, 2018, 106: 39–46
CrossRef Google scholar
[90]
Deck L L. Fourier-transform phase-shifting interferometry. Applied Optics, 2003, 42(13): 2354–2365
CrossRef Google scholar
[91]
Kafri O. Fundamental limit on accuracy in interferometry. Optics Letters, 1989, 14(13): 657–658
CrossRef Google scholar
[92]
Zhai Z, Li Z, Zhang Y, An accurate phase shift extraction algorithm for phase shifting interferometry. Optics Communications, 2018, 429: 144–151
CrossRef Google scholar
[93]
Vo Q, Fang F Z, Zhang X D, Surface recovery algorithm in white light interferometry based on combined white light phase shifting and fast Fourier transform algorithms. Applied Optics, 2017, 56(29): 8174–8185
CrossRef Google scholar
[94]
Chou C, Shyu J, Huang Y, Common-path optical heterodyne profilometer: A configuration. Applied Optics, 1998, 37(19): 4137–4142
CrossRef Google scholar
[95]
Chang W Y, Chen K H, Chen D C, Heterodyne moiré interferometry for measuring corneal surface profile. Optics and Lasers in Engineering, 2014, 54: 232–235
CrossRef Google scholar
[96]
Ajithaprasad S, Gannavarpu R. Non-invasive precision metrology using diffraction phase microscopy and space-frequency method. Optics and Lasers in Engineering, 2018, 109: 17–22
CrossRef Google scholar
[97]
Venkata Satya Vithin A, Ajithaprasad S, Rajshekhar G. Step phase reconstruction using an anisotropic total variation regularization method in a diffraction phase microscopy. Applied Optics, 2019, 58(26): 7189–7194
CrossRef Google scholar
[98]
Rajshekhar G, Bhaduri B, Edwards C, Nanoscale topography and spatial light modulator characterization using wide-field quantitative phase imaging. Optics Express, 2014, 22(3): 3432–3438
CrossRef Google scholar
[99]
Larkin K G. Efficient nonlinear algorithm for envelope detection in white light interferometry. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 1996, 13(4): 832–843
CrossRef Google scholar
[100]
Kim J H, Yoon S W, Lee J H, New algorithm of white-light phase shifting interferometry pursing higher repeatability by using numerical phase error correction schemes of pre-processor, main processor, and post-processor. Optics and Lasers in Engineering, 2008, 46(2): 140–148
CrossRef Google scholar
[101]
Tien C L, Yu K C, Tsai T Y, Measurement of surface roughness of thin films by a hybrid interference microscope with different phase algorithms. Applied Optics, 2014, 53(29): H213–H219
CrossRef Google scholar
[102]
Lei Z, Liu X, Chen L, A novel surface recovery algorithm in white light interferometry. Measurement, 2016, 80: 1–11
CrossRef Google scholar
[103]
Muhamedsalih H, Gao F, Jiang X. Comparison study of algorithms and accuracy in the wavelength scanning interferometry. Applied Optics, 2012, 51(36): 8854–8862
CrossRef Google scholar
[104]
Sandoz P. Wavelet transform as a processing tool in white-light interferometry. Optics Letters, 1997, 22(14): 1065–1067
CrossRef Google scholar
[105]
Recknagel R J, Notni G. Analysis of white light interferograms using wavelet methods. Optics Communications, 1998, 148(1–3): 122–128
CrossRef Google scholar
[106]
Hart M, Vass D G, Begbie M L. Fast surface profiling by spectral analysis of white-light interferograms with Fourier transform spectroscopy. Applied Optics, 1998, 37(10): 1764–1769
CrossRef Google scholar
[107]
Freischlad K, Koliopoulos C L. Fourier description of digital phase-measuring interferometry. Journal of the Optical Society of America. A, Optics and Image Science, 1990, 7(4): 542–551
CrossRef Google scholar
[108]
Larkin K, Oreb B. Design and assessment of symmetrical phase-shifting algorithms. Journal of the Optical Society of America. A, Optics and Image Science, 1992, 9(10): 1740–1748
CrossRef Google scholar
[109]
de Groot P. Derivation of algorithms for phase-shifting interferometry using the concept of a data-sampling window. Applied Optics, 1995, 34(22): 4723–4730
CrossRef Google scholar
[110]
Schmit J, Creath K. Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry. Applied Optics, 1995, 34(19): 3610–3619
CrossRef Google scholar
[111]
Kumar U P, Bhaduri B, Kothiyal M, Two-wavelength micro-interferometry for 3-D surface profiling. Optics and Lasers in Engineering, 2009, 47(2): 223–229
CrossRef Google scholar
[112]
Bankhead A D, McDonnell I. US Patent, 7385707, 2008-06-10
[113]
Ai C, Novak E L. US Patent, 5633715, 1997-05-27
[114]
Chen S, Palmer A, Grattan K, Fringe order identification in optical fibre white-light interferometry using centroid algorithm method. Electronics Letters, 1992, 28(6): 553–555
CrossRef Google scholar
[115]
Alexander B F, Ng K C. Elimination of systematic error in subpixel accuracy centroid estimation. Optical Engineering, 1991, 30(9): 1320–1332
CrossRef Google scholar
[116]
Harasaki A, Wyant J C. Fringe modulation skewing effect in white-light vertical scanning interferometry. Applied Optics, 2000, 39(13): 2101–2106
CrossRef Google scholar
[117]
Suematsu M, Takeda M. Wavelength-shift interferometry for distance measurements using the Fourier transform technique for fringe analysis. Applied Optics, 1991, 30(28): 4046–4055
CrossRef Google scholar
[118]
Takeda M, Ina H, Kobayashi S. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry. Journal of the Optical Society of America, 1982, 72(1): 156–160
CrossRef Google scholar
[119]
Takeda M, Mutoh K. Fourier transform profilometry for the automatic measurement of 3-D object shapes. Applied Optics, 1983, 22(24): 3977
CrossRef Google scholar
[120]
Su X, Chen W. Fourier transform profilometry: A review. Optics and Lasers in Engineering, 2001, 35(5): 263–284
CrossRef Google scholar
[121]
Chim S S, Kino G S. Correlation microscope. Optics Letters, 1990, 15(10): 579–581
CrossRef Google scholar
[122]
Chim S S, Kino G S. Phase measurements using the Mirau correlation microscope. Applied Optics, 1991, 30(16): 2197–2201
CrossRef Google scholar
[123]
Trusiak M, Wielgus M, Patorski K. Advanced processing of optical fringe patterns by automated selective reconstruction and enhanced fast empirical mode decomposition. Optics and Lasers in Engineering, 2014, 52: 230–240
CrossRef Google scholar
[124]
Huang L, Kemao Q, Pan B, Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry. Optics and Lasers in Engineering, 2010, 48(2): 141–148
CrossRef Google scholar
[125]
Kemao Q. Applications of windowed Fourier fringe analysis in optical measurement: A review. Optics and Lasers in Engineering, 2015, 66: 67–73
CrossRef Google scholar
[126]
Kemao Q. Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations. Optics and Lasers in Engineering, 2007, 45(2): 304–317
CrossRef Google scholar
[127]
Kemao Q, Wang H, Gao W. Windowed Fourier transform for fringe pattern analysis: Theoretical analyses. Applied Optics, 2008, 47(29): 5408–5419
CrossRef Google scholar
[128]
Kemao Q. Windowed Fourier transform for fringe pattern analysis. Applied Optics, 2004, 43(13): 2695–2702
CrossRef Google scholar
[129]
Zweig D A, Hufnagel R E. Hilbert transform algorithm for fringe-pattern analysis. Proceedings of SPIE 1333, Advanced Optical Manufacturing and Testing, 1990, 1333: 295–303
CrossRef Google scholar
[130]
Chim S S, Kino G S. Three-dimensional image realization in interference microscopy. Applied Optics, 1992, 31(14): 2550–2553
CrossRef Google scholar
[131]
Zhao Y, Chen Z, Ding Z, Real-time phase-resolved functional optical coherence tomography by use of optical Hilbert transformation. Optics Letters, 2002, 27(2): 98–100
CrossRef Google scholar
[132]
Onodera R, Watanabe H, Ishii Y. Interferometric phase-measurement using a one-dimensional discrete Hilbert transform. Optical Review, 2005, 12(1): 29–36
CrossRef Google scholar
[133]
Li M, Quan C, Tay C. Continuous wavelet transform for micro-component profile measurement using vertical scanning interferometry. Optics & Laser Technology, 2008, 40(7): 920–929
CrossRef Google scholar
[134]
Li S, Su X, Chen W. Wavelet ridge techniques in optical fringe pattern analysis. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 2010, 27(6): 1245–1254
CrossRef Google scholar
[135]
Watkins L, Tan S, Barnes T. Determination of interferometer phase distributions by use of wavelets. Optics Letters, 1999, 24(13): 905–907
CrossRef Google scholar
[136]
Zhong J, Weng J. Phase retrieval of optical fringe patterns from the ridge of a wavelet transform. Optics Letters, 2005, 30(19): 2560–2562
CrossRef Google scholar
[137]
de Groot P J, Deck L L. Surface profiling by frequency-domain analysis of white light interferograms. Proceedings of SPIE 2248, Optical Measurements and Sensors for the Process Industries, 1994, 2248: 101–105
CrossRef Google scholar
[138]
de Groot P, Colonna de Lega X, Kramer J, Determination of fringe order in white-light interference microscopy. Applied Optics, 2002, 41(22): 4571–4578
CrossRef Google scholar
[139]
de Groot P, Colonna de Lega X. Signal modeling for low-coherence height-scanning interference microscopy. Applied Optics, 2004, 43(25): 4821–4830
CrossRef Google scholar
[140]
Zhang S. Recent progresses on real-time 3D shape measurement using digital fringe projection techniques. Optics and Lasers in Engineering, 2010, 48(2): 149–158
CrossRef Google scholar
[141]
Hariharan P, Oreb B, Eiju T. Digital phase-shifting interferometry: A simple error-compensating phase calculation algorithm. Applied Optics, 1987, 26(13): 2504–2506
CrossRef Google scholar
[142]
Sandoz P. An algorithm for profilometry by white-light phase-shifting interferometry. Journal of Modern Optics, 1996, 43(8): 1545–1554
CrossRef Google scholar
[143]
de Groot P J. Long-wavelength laser diode interferometer for surface flatness measurement. Proceedings of SPIE 2248, Optical Measurements and Sensors for the Process Industries, 1994, 2248: 136–141
CrossRef Google scholar
[144]
Dong Z, Chen Z. Advanced Fourier transform analysis method for phase retrieval from a single-shot spatial carrier fringe pattern. Optics and Lasers in Engineering, 2018, 107: 149–160
CrossRef Google scholar
[145]
Ma S, Quan C, Zhu R, Micro-profile measurement based on windowed Fourier transform in white-light scanning interferometry. Optics Communications, 2011, 284(10–11): 2488–2493
CrossRef Google scholar
[146]
Ma S, Quan C, Zhu R, Application of least-square estimation in white-light scanning interferometry. Optics and Lasers in Engineering, 2011, 49(7): 1012–1018
CrossRef Google scholar
[147]
Zhang Z, Jing Z, Wang Z, Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase calculation at discontinuities in fringe projection profilometry. Optics and Lasers in Engineering, 2012, 50(8): 1152–1160
CrossRef Google scholar
[148]
Huang J, Chen W, Su X. Application of two-dimensional wavelet transform in the modulation measurement profilometry. Optical Engineering, 2017, 56(3): 034105
CrossRef Google scholar
[149]
Serizawa T, Suzuki T, Choi S, 3-D surface profile measurement using spectral interferometry based on continuous wavelet transform. Optics Communications, 2017, 396: 216–220
CrossRef Google scholar
[150]
de Groot P J. 101-frame algorithm for phase-shifting interferometry. Proceedings of SPIE 3098, Optical Inspection and Micromeasurements II, 1997, 3098: 283–293
CrossRef Google scholar
[151]
Shen M H, Hwang C H, Wang W C. Center wavelength measurement based on higher steps phase-shifting algorithms in white-light scanning interferometry. Procedia Engineering, 2014, 79: 447–455
CrossRef Google scholar
[152]
Shen M H, Hwang C H, Wang W C. Using higher steps phase-shifting algorithms and linear least-squares fitting in white-light scanning interferometry. Optics and Lasers in Engineering, 2015, 66: 165–173
CrossRef Google scholar
[153]
Sifuzzaman M, Islam M, Ali M. Application of wavelet transform and its advantages compared to Fourier transform. Journal of Physiological Sciences, 2009, 13: 121–134
[154]
Wei D, Xiao M, Yang P. Do we need all the frequency components of a fringe signal to obtain position information in a vertical scanning wideband interferometer? Optics Communications, 2019, 430: 234–237
CrossRef Google scholar
[155]
Wei D, Aketagawa M. Automatic selection of frequency domain filter for interference fringe analysis in pulse-train interferometer. Optics Communications, 2018, 425: 113–117
CrossRef Google scholar
[156]
Pavliček P, Michalek V. White-light interferometry—Envelope detection by Hilbert transform and influence of noise. Optics and Lasers in Engineering, 2012, 50(8): 1063–1068
CrossRef Google scholar
[157]
Huang N E, Shen Z, Long S R, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 1998, 454(1971): 903–995
[158]
Trusiak M, Patorski K, Pokorski K. Hilbert-Huang processing for single-exposure two-dimensional grating interferometry. Optics Express, 2013, 21(23): 28359–28379
CrossRef Google scholar
[159]
Trusiak M, Służewski Ł, Patorski K. Single shot fringe pattern phase demodulation using Hilbert-Huang transform aided by the principal component analysis. Optics Express, 2016, 24(4): 4221–4238
CrossRef Google scholar
[160]
Trusiak M, Mico V, Garcia J, Quantitative phase imaging by single-shot Hilbert-Huang phase microscopy. Optics Letters, 2016, 41(18): 4344–4347
CrossRef Google scholar
[161]
Deepan B, Quan C, Tay C. Determination of phase derivatives from a single fringe pattern using Teager Hilbert Huang transform. Optics Communications, 2016, 359: 162–170
CrossRef Google scholar
[162]
Trusiak M, Styk A, Patorski K. Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects. Optics and Lasers in Engineering, 2018, 110: 100–112
CrossRef Google scholar
[163]
Deng J, Wu D, Wang K, Precise phase retrieval under harsh conditions by constructing new connected interferograms. Scientific Reports, 2016, 6(1): 24416
CrossRef Google scholar
[164]
Rajshekhar G, Rastogi P. Multiple signal classification technique for phase estimation from a fringe pattern. Applied Optics, 2012, 51(24): 5869–5875
CrossRef Google scholar
[165]
Rajshekhar G, Rastogi P. Fringe demodulation using the two-dimensional phase differencing operator. Optics Letters, 2012, 37(20): 4278–4280
CrossRef Google scholar
[166]
Vishnoi A, Ramaiah J, Rajshekhar G. Phase recovery method in digital holographic interferometry using high-resolution signal parameter estimation. Applied Optics, 2019, 58(6): 1485–1490
CrossRef Google scholar
[167]
Feng S, Chen Q, Gu G, Fringe pattern analysis using deep learning. Advanced Photonics, 2019, 1(2): 025001
CrossRef Google scholar
[168]
Gomez C, Su R, de Groot P, Noise reduction in coherence scanning interferometry for surface topography measurement. Nanomanufacturing and Metrology, 2020, 3(1): 68–76
CrossRef Google scholar
[169]
Gdeisat M, Burton D, Lilley F, Fast fringe pattern phase demodulation using FIR Hilbert transformers. Optics Communications, 2016, 359: 200–206
CrossRef Google scholar
[170]
Zhong M, Chen F, Xiao C, 3-D surface profilometry based on modulation measurement by applying wavelet transform method. Optics and Lasers in Engineering, 2017, 88: 243–254
CrossRef Google scholar
[171]
Bernal O D, Seat H C, Zabit U, Robust detection of non-regular interferometric fringes from a self-mixing displacement sensor using bi-wavelet transform. IEEE Sensors Journal, 2016, 16(22): 7903–7910
CrossRef Google scholar
[172]
Rajshekhar G, Rastogi P. Phase estimation using a state-space approach based method. Optics and Lasers in Engineering, 2013, 51(8): 1004–1007
CrossRef Google scholar
[173]
Gurov I, Volynsky M. Interference fringe analysis based on recurrence computational algorithms. Optics and Lasers in Engineering, 2012, 50(4): 514–521
CrossRef Google scholar
[174]
Gao W, Huyen N T T, Loi H S, Real-time 2D parallel windowed Fourier transform for fringe pattern analysis using graphics processing unit. Optics Express, 2009, 17(25): 23147–23152
CrossRef Google scholar
[175]
Vishnoi A, Rajshekhar G. Rapid deformation analysis in digital holographic interferometry using graphics processing unit accelerated Wigner-Ville distribution. Applied Optics, 2019, 58(16): 4420–4424
CrossRef Google scholar
[176]
Ramaiah J, Ajithaprasad S, Rajshekhar G. Graphics processing unit assisted diffraction phase microscopy for fast non-destructive metrology. Measurement Science & Technology, 2019, 30(12): 125202
CrossRef Google scholar
[177]
Hariharan P. Phase-shifting interferometry: Minimization of systematic errors. Optical Engineering, 2000, 39(4): 967–970
CrossRef Google scholar
[178]
de Groot P J. Correlated errors in phase-shifting laser Fizeau interferometry. Applied Optics, 2014, 53(19): 4334–4342
CrossRef Google scholar
[179]
Kim Y, Hibino K, Sugita N, Error-compensating phase-shifting algorithm for surface shape measurement of transparent plate using wavelength-tuning Fizeau interferometer. Optics and Lasers in Engineering, 2016, 86: 309–316
CrossRef Google scholar
[180]
Wang Z, Han B. Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms. Optics Letters, 2004, 29(14): 1671–1673
CrossRef Google scholar
[181]
Wang Z, Han B. Advanced iterative algorithm for randomly phase-shifted interferograms with intra- and inter-frame intensity variations. Optics and Lasers in Engineering, 2007, 45(2): 274–280
CrossRef Google scholar
[182]
Cai L, Liu Q, Yang X. Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps. Optics Letters, 2003, 28(19): 1808–1810
CrossRef Google scholar
[183]
Cai L Z, Liu Q, Yang X L. Simultaneous digital correction of amplitude and phase errors of retrieved wave-front in phase-shifting interferometry with arbitrary phase shift errors. Optics Communications, 2004, 233(1–3): 21–26
CrossRef Google scholar
[184]
Gao P, Yao B L, Lindlein N, Phase-shift extraction for generalized phase-shifting interferometry. Optics Letters, 2009, 34(22): 3553–3555
CrossRef Google scholar
[185]
Zhang X, Wang J, Zhang X, Correction of phase-shifting error in wavelength scanning digital holographic microscopy. Measurement Science and Technology, 2018, 29(5): 055002
CrossRef Google scholar
[186]
Larkin K G. A self-calibrating phase-shifting algorithm based on the natural demodulation of two-dimensional fringe patterns. Optics Express, 2001, 9(5): 236–253
CrossRef Google scholar
[187]
Guo H, Yu Y, Chen M. Blind phase shift estimation in phase-shifting interferometry. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 2007, 24(1): 25–33
CrossRef Google scholar
[188]
Guo H. Blind self-calibrating algorithm for phase-shifting interferometry by use of cross-bispectrum. Optics Express, 2011, 19(8): 7807–7815
CrossRef Google scholar
[189]
Wang Y, Lu X, Liu Y, Self-calibration phase-shifting algorithm with interferograms containing very few fringes based on Fourier domain estimation. Optics Express, 2017, 25(24): 29971–29982
CrossRef Google scholar
[190]
Cao S, Wang Y, Lu X, Advanced spatial spectrum fitting algorithm for significantly improving the noise resistance ability of self-calibration phase shifting interferometry. Optics and Lasers in Engineering, 2019, 112: 170–181
CrossRef Google scholar
[191]
Ghim Y S, Rhee H G, Davies A, 3D surface mapping of freeform optics using wavelength scanning lateral shearing interferometry. Optics Express, 2014, 22(5): 5098–5105
CrossRef Google scholar
[192]
Fuerschbach K, Thompson K P, Rolland J P. Interferometric measurement of a concave, ϕ-polynomial, Zernike mirror. Optics Letters, 2014, 39(1): 18–21
CrossRef Google scholar
[193]
Leong-Hoï A, Claveau R, Flury M, Detection of defects in a transparent polymer with high resolution tomography using white light scanning interferometry and noise reduction. Proceedings of SPIE 9528, Videometrics, Range Imaging, and Applications XIII, 2015, 9528: 952807
CrossRef Google scholar
[194]
Zhou R, Edwards C, Arbabi A, Detecting 20 nm wide defects in large area nanopatterns using optical interferometric microscopy. Nano Letters, 2013, 13(8): 3716–3721
CrossRef Google scholar
[195]
Guo T, Gu Y, Chen J, Surface topography measurement based on color images processing in white light interferometry. Proceedings of SPIE 9525, Optical Measurement Systems for Industrial Inspection IX, 2015, 9525: 952511
CrossRef Google scholar
[196]
Servin M, Quiroga J A, Padilla M. Fringe Pattern Analysis for Optical Metrology: Theory, Algorithms, and Applications. Weinheim: John Wiley & Sons, 2014, 57–145
[197]
Petrov N V, Skobnikov V A, Shevkunov I A, Features of surface contouring by digital holographic interferometry with tilt of the object illumination. Proceedings of SPIE 10749, Interferometry XIX, 2018, 10749: 1074906
CrossRef Google scholar
[198]
Schmit J, Olszak A G. Challenges in white-light phase-shifting interferometry. Proceedings of SPIE 4777, Interferometry XI: Techniques and Analysis, 2002, 4777: 118–127
CrossRef Google scholar
[199]
Petzing J N, Coupland J M, Leach R K. The Measurement of Rough Surface Topography Using Coherence Scanning Interferometry. NPL Measurement Good Practice Guide 116. Middlesex: Queen’s Printer and Controller of HMSO, 2010, 91–110
[200]
Fay M F, Colonna de Lega X, de Groot P. Measuring high-slope and super-smooth optics with high-dynamic-range coherence scanning interferometry. In: Proceedings of Optical Fabrication and Testing. Hawaii: Optical Society of America, 2014, OW1B.3
CrossRef Google scholar
[201]
Marinello F, Bariani P, Pasquini A, Increase of maximum detectable slope with optical profilers, through controlled tilting and image processing. Measurement Science & Technology, 2007, 18(2): 384–389
CrossRef Google scholar
[202]
de Groot P J. Vibration in phase-shifting interferometry. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 1995, 12(2): 354–365
CrossRef Google scholar
[203]
Wiersma J T, Wyant J C. Vibration insensitive extended range interference microscopy. Applied Optics, 2013, 52(24): 5957–5961
CrossRef Google scholar
[204]
Liu Q, Li L, Zhang H, Simultaneous dual-wavelength phase-shifting interferometry for surface topography measurement. Optics and Lasers in Engineering, 2020, 124: 105813
CrossRef Google scholar
[205]
Li Y, Kästner M, Reithmeier E. Vibration-insensitive low coherence interferometer (LCI) for the measurement of technical surfaces. Measurement, 2017, 104: 36–42
CrossRef Google scholar
[206]
Liu Q, Huang W, Li L, Vibration-resistant interferometric measurement of optical surface figure and roughness. Proceedings of SPIE 11383, Sixth Asia Pacific Conference on Optics Manufacture, 2020, 11383: 1138304
CrossRef Google scholar
[207]
Colonna de Lega X, de Groot P. Lateral resolution and instrument transfer function as criteria for selecting surface metrology instruments. In: Proceedings of Optical Fabrication and Testing. Monterey: Optical Society of America, 2012, OTu1D.4
[208]
de Groot P, Colonna de Lega X, Sykora D, The meaning and measure of lateral resolution for surface profiling interferometers. Optics and Photonics News, 2012, 23(4): 10–13
[209]
Indebetouw G, Tada Y, Rosen J, Brooker G. Scanning holographic microscopy with resolution exceeding the Rayleigh limit of the objective by superposition of off-axis holograms. Applied Optics, 2007, 46(6): 993–1000
CrossRef Google scholar
[210]
Dong J, Jia S, Jiang C. Surface shape measurement by multi-illumination lensless Fourier transform digital holographic interferometry. Optics Communications, 2017, 402: 91–96
CrossRef Google scholar
[211]
Merola F, Paturzo M, Coppola S, Self-patterning of a polydimethylsiloxane microlens array on functionalized substrates and characterization by digital holography. Journal of Micromechanics and Microengineering, 2009, 19(12): 125006
CrossRef Google scholar
[212]
Bray M. Stitching interferometer for large Plano optics using a standard interferometer. Proceedings of SPIE 3134, Optical Manufacturing and Testing II, 1997, 3134: 39–51
CrossRef Google scholar
[213]
Otsubo M, Okada K, Tsujiuchi J. Measurement of large plane surface shapes by connecting small-aperture interferograms. Optical Engineering, 1994, 33(2): 608–613
CrossRef Google scholar
[214]
Murphy P, Forbes G, Fleig J, Stitching interferometry: A flexible solution for surface metrology. Optics and Photonics News, 2003, 14(5): 38–43
CrossRef Google scholar
[215]
Fleig J, Dumas P, Murphy P E, An automated subaperture stitching interferometer workstation for spherical and aspherical surfaces. Proceedings of SPIE 5188, Advanced Characterization Techniques for Optics, Semiconductors, and Nanotechnologies, 2003, 5188: 296–307
CrossRef Google scholar
[216]
Dumas P R, Fleig J, Forbes G W, Flexible polishing and metrology solutions for free-form optics. In: Proceedings of the ASPE 2004 Winter Topical Meeting on Free-Form Optics: Design, Fabrication, Metrology, Assembly. Glasgow: Citeseer, 2004, 1–6
[217]
Lei Z, Liu X, Zhao L, A novel 3D stitching method for WLI based large range surface topography measurement. Optics Communications, 2016, 359: 435–447
CrossRef Google scholar
[218]
Niehaus F, Huttenhuis S, Danger T. New opportunities in freeform manufacturing using a long stroke fast tool system and integrated metrology. Proceedings of SPIE 9633, Optifab 2015, 2015, 9633: 96331E
[219]
Lei W, Hsu Y. Accuracy enhancement of five-axis CNC machines through real-time error compensation. International Journal of Machine Tools and Manufacture, 2003, 43(9): 871–877
CrossRef Google scholar
[220]
Yang J, Altintas Y. A generalized on-line estimation and control of five-axis contouring errors of CNC machine tools. International Journal of Machine Tools and Manufacture, 2015, 88: 9–23
CrossRef Google scholar
[221]
Suh S H, Lee E S, Sohn J W. Enhancement of geometric accuracy via an intermediate geometrical feedback scheme. Journal of Manufacturing Systems, 1999, 18(1): 12–21
CrossRef Google scholar
[222]
Ke Z, Yuen A, Altintas Y. Pre-compensation of contour errors in five-axis CNC machine tools. International Journal of Machine Tools and Manufacture, 2013, 74(8): 1–11
CrossRef Google scholar
[223]
Gao W, Tano M, Sato S, On-machine measurement of a cylindrical surface with sinusoidal micro-structures by an optical slope sensor. Precision Engineering, 2006, 30(3): 274–279
CrossRef Google scholar
[224]
Gao W, Aoki J, Ju B F, Surface profile measurement of a sinusoidal grid using an atomic force microscope on a diamond turning machine. Precision Engineering, 2007, 31(3): 304–309
CrossRef Google scholar
[225]
Gao W, Chen Y L, Lee K W, Precision tool setting for fabrication of a microstructure array. CIRP Annals-Manufacturing Technology, 2013, 62(1): 523–526
CrossRef Google scholar
[226]
Zou X, Zhao X, Li G, et al. Non-contact on-machine measurement using a chromatic confocal probe for an ultra-precision turning machine. International Journal of Advanced Manufacturing Technology, 2017, 90(5–8): 2163–2172
CrossRef Google scholar
[227]
Jiang X, Wang K, Martin H. Near common-path optical fiber interferometer for potentially fast on-line microscale-nanoscale surface measurement. Optics Letters, 2006, 31(24): 3603–3605
CrossRef Google scholar
[228]
Li D, Tong Z, Jiang X, Calibration of an interferometric on-machine probing system on an ultra-precision turning machine. Measurement, 2018, 118: 96–104
CrossRef Google scholar
[229]
Li D, Jiang X, Tong Z, Development and application of interferometric on-machine surface measurement for ultraprecision turning process. Journal of Manufacturing Science and Engineering, 2019, 141(1): 014502
CrossRef Google scholar
[230]
ElKott D F, Veldhuis S C. Isoparametric line sampling for the inspection planning of sculptured surfaces. Computer Aided Design, 2005, 37(2): 189–200
CrossRef Google scholar
[231]
He G, Sang Y, Pang K, An improved adaptive sampling strategy for freeform surface inspection on CMM. International Journal of Advanced Manufacturing Technology, 2018, 96(1–4): 1521–1535
CrossRef Google scholar
[232]
He G, Sang Y, Wang H, A profile error evaluation method for freeform surface measured by sweep scanning on CMM. Precision Engineering, 2019, 56: 280–292
CrossRef Google scholar
[233]
Babu M, Franciosa P, Ceglarek D. Adaptive measurement and modelling methodology for in-line 3D surface metrology scanners. Procedia CIRP, 2017, 60: 26–31
CrossRef Google scholar
[234]
Babu M, Franciosa P, Ceglarek D. Spatio-temporal adaptive sampling for effective coverage measurement planning during quality inspection of free form surfaces using robotic 3D optical scanner. Journal of Manufacturing Systems, 2019, 53: 93–108
CrossRef Google scholar
[235]
Chen Y, Peng C. Intelligent adaptive sampling guided by Gaussian process inference. Measurement Science & Technology, 2017, 28(10): 105005
CrossRef Google scholar
[236]
Yin Y, Ren M J, Sun L, Gaussian process based multi-scale modelling for precision measurement of complex surfaces. CIRP Annals-Manufacturing Technology, 2016, 65(1): 487–490
CrossRef Google scholar
[237]
Yin Y, Ren M J, Sun L. Dependant Gaussian processes regression for intelligent sampling of freeform and structured surfaces. CIRP Annals-Manufacturing Technology, 2017, 66(1): 511–514
CrossRef Google scholar
[238]
Gao W, Kemao Q. Parallel computing in experimental mechanics and optical measurement: A review. Optics and Lasers in Engineering, 2012, 50(4): 608–617
CrossRef Google scholar
[239]
Wang T, Kemao Q. Parallel computing in experimental mechanics and optical measurement: A review (II). Optics and Lasers in Engineering, 2018, 104: 181–191
CrossRef Google scholar
[240]
Karpinsky N, Zhang S. High-resolution, real-time 3D imaging with fringe analysis. Journal of Real-Time Image Processing, 2012, 7(1): 55–66
CrossRef Google scholar
[241]
Van der Jeught S, Soons J A, Dirckx J J. Real-time microscopic phase-shifting profilometry. Applied Optics, 2015, 54(15): 4953–4959
CrossRef Google scholar
[242]
Sinha A, Lee J, Li S, Lensless computational imaging through deep learning. Optica, 2017, 4(9): 1117–1125
CrossRef Google scholar
[243]
Rivenson Y, Göröcs Z, Günaydin H, Deep learning microscopy. Optica, 2017, 4(11): 1437–1443
CrossRef Google scholar
[244]
Rivenson Y, Zhang Y, Günaydın H, Phase recovery and holographic image reconstruction using deep learning in neural networks. Light, Science & Applications, 2018, 7(2): 17141
CrossRef Google scholar
[245]
Yin W, Chen Q, Feng S, Temporal phase unwrapping using deep learning. Scientific Reports, 2019, 9(1): 1–12
CrossRef Google scholar
[246]
Feng S, Zuo C, Yin W, Micro deep learning profilometry for high-speed 3D surface imaging. Optics and Lasers in Engineering, 2019, 121: 416–427
CrossRef Google scholar

Acknowledgements

This work received funding from the Enterprise Ireland and from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Skłodowska-Curie grant agreement (Grant No. 713654), the National Natural Science Foundation of China (Grant No. 51705070), and the Science Foundation Ireland (SFI) (Grant No. 15/RP/B3208). The authors appreciate the fruitful discussions and suggestions from Szymon Baron of DePuy Synthes. The authors would also like to thank Chengwei Kang of University College Dublin for his comments on the paper.

Open Access

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third-party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

RIGHTS & PERMISSIONS

2021 The Author(s) 2021. This article is published with open access at link.springer.com and journal.hep.com.cn
AI Summary AI Mindmap
PDF(6207 KB)

Accesses

Citations

Detail

Sections
Recommended

/