A fast algorithm for decoding an object image in structured light for measuring a three-dimensional profile in a nonlinear optical path
The study uses phase triangulation methods to examine the development of image processing algorithms for measuring a three-dimensional (3D) surface profile. An algorithm is proposed for decoding images of an object in structured light based on an iterative search for the minimum deviation of the mod...
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| Veröffentlicht in: | Measurement techniques Jg. 66; H. 8; S. 584 - 592 |
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| Sprache: | Englisch |
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| Abstract | The study uses phase triangulation methods to examine the development of image processing algorithms for measuring a three-dimensional (3D) surface profile. An algorithm is proposed for decoding images of an object in structured light based on an iterative search for the minimum deviation of the model function using measurement results and compensating for the nonlinearity of the transceiver path of the measuring complex. A distinctive feature of the proposed method is that the search for the model function is desired in the form of a second-degree polynomial, ensuring the stability of the method against nonlinear distortions caused by power-law transformations of the transceiver path. The interval search method is used to reduce algorithmic complexity qualitatively. The proposed algorithm provides a stable search for the value of the initial phase shift in object images, is resistant to noise and nonlinear distortions, and allows image processing in 3D scanning systems based on triangulation methods using structured illumination and phase triangulation. Thus, the algorithm will be useful for data processing during the operation of measuring systems with a nonlinear transceiver path and measurement time constraints. |
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| AbstractList | The study uses phase triangulation methods to examine the development of image processing algorithms for measuring a three-dimensional (3D) surface profile. An algorithm is proposed for decoding images of an object in structured light based on an iterative search for the minimum deviation of the model function using measurement results and compensating for the nonlinearity of the transceiver path of the measuring complex. A distinctive feature of the proposed method is that the search for the model function is desired in the form of a second-degree polynomial, ensuring the stability of the method against nonlinear distortions caused by power-law transformations of the transceiver path. The interval search method is used to reduce algorithmic complexity qualitatively. The proposed algorithm provides a stable search for the value of the initial phase shift in object images, is resistant to noise and nonlinear distortions, and allows image processing in 3D scanning systems based on triangulation methods using structured illumination and phase triangulation. Thus, the algorithm will be useful for data processing during the operation of measuring systems with a nonlinear transceiver path and measurement time constraints. The study uses phase triangulation methods to examine the development of image processing algorithms for measuring a three-dimensional (3D) surface profile. An algorithm is proposed for decoding images of an object in structured light based on an iterative search for the minimum deviation of the model function using measurement results and compensating for the nonlinearity of the transceiver path of the measuring complex. A distinctive feature of the proposed method is that the search for the model function is desired in the form of a second-degree polynomial, ensuring the stability of the method against nonlinear distortions caused by power-law transformations of the transceiver path. The interval search method is used to reduce algorithmic complexity qualitatively. The proposed algorithm provides a stable search for the value of the initial phase shift in object images, is resistant to noise and nonlinear distortions, and allows image processing in 3D scanning systems based on triangulation methods using structured illumination and phase triangulation. Thus, the algorithm will be useful for data processing during the operation of measuring systems with a nonlinear transceiver path and measurement time constraints. |
| Audience | Academic |
| Author | Bakakin, G. V. Dvoynishnikov, S. V. Meledin, V. G. Pavlov, V. A. |
| Author_xml | – sequence: 1 givenname: S. V. orcidid: 0000-0002-0018-7675 surname: Dvoynishnikov fullname: Dvoynishnikov, S. V. email: dv.s@mail.ru organization: Kutateladze Institute of Thermophysics – sequence: 2 givenname: G. V. orcidid: 0000-0001-7322-1355 surname: Bakakin fullname: Bakakin, G. V. organization: Kutateladze Institute of Thermophysics – sequence: 3 givenname: V. A. surname: Pavlov fullname: Pavlov, V. A. organization: Kutateladze Institute of Thermophysics – sequence: 4 givenname: V. G. orcidid: 0000-0003-3765-342X surname: Meledin fullname: Meledin, V. G. organization: Kutateladze Institute of Thermophysics |
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| References_xml | – reference: DvoinishnikovSVKulikovDVMeledinVG“Optoelectronic method for non-contact reconstruction of the surface profile of three-dimensional objects of complex shape,” MetrologiyaNo201041527 – reference: MordasovMMSavenkovAPMeas. Tech.201558779679910.1007/s11018-015-0796-x – reference: DvoynishnikovSVMeledinVGShpolvindKVMeas. Tech.201255212312910.1007/s11018-012-9928-8 – reference: ZuoCTaoTFengSHuangLAsundiAChenQOpt. Lasers Eng.2018102709110.1016/j.optlaseng.2017.10.013 – reference: MarkovBNSharamkovABMeas. Tech.201457887087410.1007/s11018-014-0551-8 – reference: MalcevIABasics of Linear Algebra [in Russian1970MoscowNauka – reference: LevinGGMinaevVLIvanovADMeas. Tech.2023661243010.1007/s11018-023-02185-x – reference: DvoinishnikovSVKulikovDVMeledinVGRahmanovVVSibirskii Jurn. Ind. Matem.20232625359 – reference: ZhangSOpt. Lasers Eng.201048214915810.1016/j.optlaseng.2009.03.008 – reference: DvoinishnikovSVMeledinVGPavlovVAOptoelectron. Instrum. Data Proc., 53No2017214515010.3103/S8756699017020066 – reference: YanushkinVNKolyadaYBMeas. Tech.201457886686910.1007/s11018-014-0550-9 – reference: Gonzalez, R., Woods, R., Digital Image Processing, A.W.: (1992) – reference: LohryWZhangSOpt. Express201422267522676210.1364/OE.22.02675225401823 – reference: DvoinishnikovSVKulikovDVMeledinVGGlavnyVGInterekspo GeoSibir2022818085 – reference: ArmangueXSalviJBattleJ(01)00126‑1Pattern Recognit.20023571617163510.1016/S0031-3203 – reference: KnuthDEThe Art of Computer Programming. Vol. 3: Sorting and Searching. Reading1998Addison-Wesley Publ.MA; Harlow – volume: 57 start-page: 866 issue: 8 year: 2014 ident: 2271_CR4 publication-title: Meas. Tech. doi: 10.1007/s11018-014-0550-9 – volume: 35 start-page: 1617 issue: 7 year: 2002 ident: 2271_CR7 publication-title: Pattern Recognit. doi: 10.1016/S0031-3203 – volume: 57 start-page: 870 issue: 8 year: 2014 ident: 2271_CR2 publication-title: Meas. Tech. doi: 10.1007/s11018-014-0551-8 – volume: 2 start-page: 145 year: 2017 ident: 2271_CR10 publication-title: No doi: 10.3103/S8756699017020066 – volume-title: The Art of Computer Programming. Vol. 3: Sorting and Searching. Reading year: 1998 ident: 2271_CR15 – volume: 55 start-page: 123 issue: 2 year: 2012 ident: 2271_CR13 publication-title: Meas. Tech. doi: 10.1007/s11018-012-9928-8 – volume: 8 start-page: 80 issue: 1 year: 2022 ident: 2271_CR16 publication-title: Sibir – volume: 48 start-page: 149 issue: 2 year: 2010 ident: 2271_CR5 publication-title: Opt. Lasers Eng. doi: 10.1016/j.optlaseng.2009.03.008 – ident: 2271_CR12 – volume: 58 start-page: 796 issue: 7 year: 2015 ident: 2271_CR1 publication-title: Meas. Tech. doi: 10.1007/s11018-015-0796-x – volume-title: Basics of Linear Algebra [in Russian year: 1970 ident: 2271_CR14 – volume: 66 start-page: 24 issue: 1 year: 2023 ident: 2271_CR3 publication-title: Meas. Tech. doi: 10.1007/s11018-023-02185-x – volume: 22 start-page: 26752 year: 2014 ident: 2271_CR6 publication-title: Opt. Express doi: 10.1364/OE.22.026752 – volume: 4 start-page: 15 year: 2010 ident: 2271_CR8 publication-title: No – volume: 102 start-page: 70 year: 2018 ident: 2271_CR9 publication-title: Opt. Lasers Eng. doi: 10.1016/j.optlaseng.2017.10.013 – volume: 26 start-page: 53 issue: 2 year: 2023 ident: 2271_CR11 publication-title: Sibirskii Jurn. Ind. Matem. |
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| SubjectTerms | Algorithms Analytical Chemistry Characterization and Evaluation of Materials Image processing Laws, regulations and rules Measurement Science and Instrumentation Measuring instruments Opticophysical Measurements Physical Chemistry Physics Physics and Astronomy Scanning devices Transceivers |
| Title | A fast algorithm for decoding an object image in structured light for measuring a three-dimensional profile in a nonlinear optical path |
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