Fourier Transform Profilometry Based on Improved Goldstein Branch-Cut Algorithm

Qian You; Hui Weng; Jiang Zhao; Yuebin Li; Wenfeng Wang; Shi Lu; Kuang Peng

doi:10.3788/AOS221351

[1] Zuo C, Feng S J, Huang L et al. Phase shifting algorithms for fringe projection profilometry: a review[J]. Optics and Lasers in Engineering, 109, 23-59(2018).

[2] Guo W B, Zhang Q C, Wu Z J. Real-time three-dimensional imaging technique based on phase-shift fringe analysis: a review[J]. Laser＆Optoelectronics Progress, 58, 0800001(2021).

[3] Li C M, Cao Y P, Chen C et al. Computer-generated Moiré profilometry[J]. Optics Express, 25, 26815-26824(2017).

[4] Takeda M, Ina H, Kobayashi S. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry[J]. Journal of the Optical Society of America, 72, 156-160(1982).

[5] Fu Y J, Wu J F, Jiang G Y. Fourier transform profilometry based on defocusing[J]. Optics & Laser Technology, 44, 727-733(2012).

[6] Zhang Q C, Wu Z Y. A carrier removal method in Fourier transform profilometry with Zernike polynomials[J]. Optics and Lasers in Engineering, 51, 253-260(2013).

[7] Srinivasan V, Liu H C, Halioua M. Automated phase-measuring profilometry of 3-D diffuse objects[J]. Applied Optics, 23, 3105-3108(1984).

[8] Hou Y L, Liang H G, Li F Q et al. Spatial-temporal combined phase unwrapping in phase measurement profilometry[J]. Acta Optica Sinica, 42, 0112006(2022).

[9] Yang C Z, Cao Y P. Real-time phase measuring profilometry based on single-shot four-grayscale fringe projection[J]. Acta Optica Sinica, 41, 1812003(2021).

[10] Su X Y, Zhang Q C. Dynamic 3-D shape measurement method: a review[J]. Optics and Lasers in Engineering, 48, 191-204(2010).

[11] Gorthi S S, Rastogi P. Fringe projection techniques: whither we are?[J]. Optics and Lasers in Engineering, 48, 133-140(2010).

[12] Li W J, Gai S Y, Yu J et al. Absolute phase recovery of single frame composite image based on convolutional neural network[J]. Acta Optica Sinica, 41, 2312001(2021).

[13] Goldstein R M, Zebker H A, Werner C L. Satellite radar interferometry: two-dimensional phase unwrapping[J]. Radio Science, 23, 713-720(1988).

[14] Zheng D L, Da F P. A novel algorithm for branch cut phase unwrapping[J]. Optics and Lasers in Engineering, 49, 609-617(2011).

[15] Chen C W, Zebker H A. Network approaches to two-dimensional phase unwrapping: intractability and two new algorithms[J]. Journal of the Optical Society of America, 17, 401-414(2000).

[16] Karout S A, Gdeisat M A, Burton D R et al. Two-dimensional phase unwrapping using a hybrid genetic algorithm[J]. Applied Optics, 46, 730-743(2007).

[17] Wang J H, Yang Y X. Branch-cut algorithm with fast search ability for the shortest branch-cuts based on modified GA[J]. Journal of Modern Optics, 66, 473-485(2019).

[18] Xing S, Guo H W. Temporal phase unwrapping for fringe projection profilometry aided by recursion of Chebyshev polynomials[J]. Applied Optics, 56, 1591-1602(2017).

[19] de Souza J C, Oliveira M E, dos Santos P A M. Branch-cut algorithm for optical phase unwrapping[J]. Optics Letters, 40, 3456-3459(2015).

[20] Cui H H, Liao W H, Dai N et al. Reliability-guided phase-unwrapping algorithm for the measurement of discontinuous three-dimensional objects[J]. Optical Engineering, 50, 063602(2011).

[21] Huang J W, Liu X J. Design of resource allocation scheme for D2D based on Kuhn-Munkres optimal matching[J]. Application Research of Computers, 32, 827-829(2015).

[22] Bewley A, Ge Z Y, Ott L et al. Simple online and realtime tracking[C], 3464-3468(2016).

[23] Xiao W S[M]. Graph theory and its algorithm, 134-142(1993).