Development of Fringe Image Processing Algorithms for Tomograpic Reconstruction of Temperature Field in an Axisymmetric Medium
DOI:
https://doi.org/10.47134/pslse.v2i1.319Keywords:
Fringe Image Processing Algorithms, Tomographic Reconstruction, Temperature Field, Axisymmetric MediumAbstract
This work is part of the development of algorithms and digital tools for the tomographic reconstruction of the (3D) temperature field from images resulting from thermal metrology based on two optical techniques (Moire deflectometry and holographic interferometry). It is intended not only for digital scientists and image processing specialists but also for researchers and practitioners in instrumentation and measurement by non-invasive techniques in general and in thermal metrology by optical techniques in particular Tomography by optical techniques of axisymmetric transparent media, the main subject of application of this thesis, is a perfect example of an imaging system based on an elementary mathematical property (the Abel transform and its inverse in this case). This property comes up against in its practical application the hypersensitivity to noise and problems due to the intrinsic characteristics of this transform. However, the study of transparent media such as air in our case, which does not present any radiative, absorption or diffusion properties, makes the images resulting from optical techniques unusable only after a treatment which precedes the inverse calculation of the Abel transform. This treatment thus limiting the development of 3D imaging requires special attention. Furthermore, the tomographic reconstruction of the temperature field of such an environment will be done in two processing parts, the first of which will focus on the analysis of mud figures, while the second is dedicated to solving the inverse problem generated by the Abel transform.
References
Asaki, T. J., Chartrand, R. Vixie, K. R & Wohlberg, K. R. “Abel inversion using total-variation regularization Inverse Problems, IOP Publishing, 2019,p30
Bracewell, R. N. (2000). The Fourier Transform and its Applications, Boston: Third edition, McGraw-Hill International Editions.
Camacho, J. R., Beg, F. N. & Lee, P. (2021). Comparison of sensi-tivities of Moire deflectometry and interferometry to measure electron densities in z-pinch plasmas, Applied Physics, p199
Chan, C. Y G. & Hieftje, G. M. (2021). «A LabVIEW program for determining confidence intervals of Abel-inverted radial emission profiles,» Spectrochimica Acta Part B.,p14
Choi, G. (2024). Optimization study of a probe chuck for semiconductor wafers using genetic algorithm and deep reinforcement learnings. Journal of Mechanical Science and Technology. https://doi.org/10.1007/s12206-024-0734-4
Dribinski, V., Ossadtchi, A., Mandelshtam, V & Reisler, H. «Reconstruction of Abel- transformable images: the Gaussian basis-set expansion Abel transform method,» Review of Scientific Instruments, 2020,p55
Federico, A., Kaufmann. G (2021), «Phase retrieval in electronic speckle interferometry using the continuous wavelet transform, SAR Image Analysis, Modeling, and Techniques,p121
Goharkhaha, M., Ashjaeea, M & Madanipour, K. (2020). «Investigation of the accuracy of different methods of interferogram analysis for calculation of local free convection heat transfer coefficient on axisymmetric objects,>>> Experimental Thermal and Fluid Science, p111
Ignjatovic, K. M., & Mihajlov, A.A , «The realization of Abel's inversion in the case of discharge with undetermined radius,» Journal of Quantitative Spectroscopy & Radiative Transfere, 2019,p79
Jackson, S. L. & Shumlak, U. (2021). «Abel inversion of a holographic interferogram for determination of the density profile of a sheared-flow Z pinch,>» Review Of Scientific Instruments, p21
Junne, H. (2024). Rainbow Schlieren Deflectometry for spherical fields: A new algorithm and numerical validation approach. Numerical Heat Transfer, Part B: Fundamentals, 85(9), 1178–1201. https://doi.org/10.1080/10407790.2023.2262124
Li, H. (2024). Numerical algorithm with fifth-order accuracy for axisymmetric Laplace equation with linear boundary value problem. Numerical Methods for Partial Differential Equations, 40(3). https://doi.org/10.1002/num.23079
Liu, H., Cartwright. A & Basaran, C. «Moiré interferogram phase extraction: a ridge detection algorithm for continuous wavelet transforms,» Applied Optics, 2020,p58
Liu, Y. (2024a). Simultaneous Identification of Thermophysical Properties of Semitransparent Media Using a Hybrid Model Based on Artificial Neural Network and Evolutionary Algorithm. Transactions of Nanjing University of Aeronautics and Astronautics, 41(4), 458–475. https://doi.org/10.16356/j.1005-1120.2024.04.004
Liu, Y. (2024b). Structural Optimization of a Giant Magnetostrictive Actuator Based on BP-NSGA-II Algorithm. Actuators, 13(8). https://doi.org/10.3390/act13080293
Lv, J. (2024). Optimization design of forebody shape of an underwater axisymmetric body for transition delay using a genetic algorithm. Ocean Engineering, 301. https://doi.org/10.1016/j.oceaneng.2024.117529
Maddah, A. (2024). Optimizing die profiles using a hybrid optimization algorithm for the precise control of extrudate swell in polymer solutions. Journal of Non-Newtonian Fluid Mechanics, 330. https://doi.org/10.1016/j.jnnfm.2024.105277
Motassadeq, A. (2020). Contribution to the valorization of optical shearography and deflectometry techniques for measuring the temperature field in a semi-transparent medium with axial symmetry, FSTG Marrakech,p179
Sharma, G. (2024). Skin-Friction Topology on Axisymmetric Boattail Models by an Optical-Flow Algorithm with a Sub-grid Function. Lecture Notes in Electrical Engineering, 1050, 189–198. https://doi.org/10.1007/978-981-97-3998-1_16
Yu, B. (2024). Optimal design of a clamp band system based on genetic algorithm and experimental verification. Aerospace Science and Technology, 145. https://doi.org/10.1016/j.ast.2024.108870
Zarch, A. B. (2024). Hybrid Algorithm for Development of Reduced Skeletal Kinetic Mechanisms with Specific Species Targeting. ACS Omega, 9(8), 9123–9136. https://doi.org/10.1021/acsomega.3c07936
Zhong, Z. W., Lu, Y. G. (2019). «Measurements of surface deformations and strains using an AFM moiré method,>> Measurement, p183
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Ibtihal Mohammed Khaleel
This work is licensed under a Creative Commons Attribution 4.0 International License.
