Bayesian Inference for 3D Volumetric Heat Sources Reconstruction from Surfacic IR Imaging

Groz, Marie-Marthe; Abisset-Chavanne, Emmanuelle; Méziane, Anissa; Sommier, Alain; Pradère, Christophe

doi:10.3390/app10051607

Cited by 6 publications

(3 citation statements)

References 16 publications

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“…The calculation in Ref. 28, run on a laptop computer (the least powerful of the computers tested) lasted 8.35 s. To compare, in Ref. 29, the proposed reconstruction method based on SVD and regularization allows estimating the sources for the same experimental problem.…”

Section: Resultsmentioning

confidence: 99%

3D reconstruction of thermal volumetric sources from surface temperature fields measured by infrared thermography

Pradère

Groz

Abisset-Chavanne

et al. 2020

Thermosense: Thermal Infrared Applications XLII

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Non-destructive testing (NDT) of materials and structures is a very important industrial issue in the fields of transport, aeronautics and space as well as in the medical domain. Active infrared thermography is an NDT method that consists in providing an external excitation to cause an elevation of the temperature field in the material, consequently allowing evaluation of the resulting temperature field at the surface. However, thermal exciters that are used (flash lamps, halogen, lasers) act only on the surface of the sample. On the other hand, several energy conversion systems can lead to the generation of volumetric sources; the phenomena of thermoacoustics, thermo-induction, thermomechanics or thermochemistry can be cited. For instance, ultrasonic waves can generate volumetric heat sources if the material is viscoelastic or if there is a defect. The reconstruction of these sources is the initial process for the quantification of parameters responsible for the heating. Characterizing a heat source means reconstructing its geometry and the supplied power. Identification of volumetric heat sources from surface temperature fields is a mathematically ill-posed problem. The main cause of the issue is the diffusive nature of the temperature. In this work, 3D reconstruction of the volumetric heat sources from the resulting surface temperature field, measured by infrared thermography, is studied. An analysis of the physical problem enables specifying the limits of the reconstruction. In particular, a criterion on the achievable spatial resolution is defined, and a reconstruction limitation for in-depth sources is highlighted.

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Section: Resultsmentioning

confidence: 99%

3D reconstruction of thermal volumetric sources from surface temperature fields measured by infrared thermography

Pradère

Groz

Abisset-Chavanne

et al. 2020

Thermosense: Thermal Infrared Applications XLII

Self Cite

View full text Add to dashboard Cite

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“…Another study from Zeribi et al [14] reported the fabrication of a 2D non-imaging heat flux sensor based on the spatial temperature gradient method. Image reconstruction was addressed by Groz et al [15,16], who reported a method to reconstruct deep heat sources using analytical models and two inversion methods (statistical and deconvolution by Toeplitz). Another 3D reconstruction method was recently developed by Burgholzer et al [17,18].…”

Section: Knowledgementioning

confidence: 99%

Ultra-broadband contactless imaging power meter

et al. 2021

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Knowledge of the spatial and temporal distribution of heat flux is of great interest for the quantification of heat sources. In this work, we describe the development of a new ultra-broadband contactless imaging power meter based on electromagnetic to infrared technology. This new sensor and the mathematical processing of images enable the reconstruction of both spatial and amplitude distributions through a wide spectral range of sources. The full modeling of the thermoconverter based on 3D formalism of thermal quadrupoles is presented first before deriving a reduced model more suitable for quick and robust inverse processing. The inverse method makes it possible to simultaneously identify the heat losses and the spatial and temporal source distribution for the first time, to the best of our knowledge. Finally, measurements of multispectral sources are presented and discussed, with an emphasis on the spatial and temporal resolution, accuracy and capabilities of the power meter.

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“…So far, statistical methods and the virtual wave concept have been applied to characterize volumetric heat sources [ 12 , 13 ]. Least-squares minimization approaches have been implemented to characterize ideal, compact, and homogeneous vertical planar heat sources from lock-in vibrothermography data [ 14 , 15 ].…”

Section: Introductionmentioning

confidence: 99%

Vertical Cracks Excited in Lock-in Vibrothermography Experiments: Identification of Open and Inhomogeneous Heat Fluxes

Mendioroz

Castelo

Celorrio

et al. 2022

Sensors

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Lock-in vibrothermography has proven to be very useful to characterizing kissing cracks producing ideal, homogeneous, and compact heat sources. Here, we approach real situations by addressing the characterization of non-compact (strip-shaped) heat sources produced by open cracks and inhomogeneous fluxes. We propose combining lock-in vibrothermography data at several modulation frequencies in order to gather penetration and precision data. The approach consists in inverting surface temperature amplitude and phase data by means of a least-squares minimization algorithm without previous knowledge of the geometry of the heat source, only assuming knowledge of the vertical plane where it is confined. We propose a methodology to solve this ill-posed inverse problem by including in the objective function penalty terms based on the expected properties of the solution. These terms are described in a comprehensive and intuitive manner. Inversions of synthetic data show that the geometry of non-compact heat sources is identified correctly and that the contours are rounded due to the penalization. Inhomogeneous smoothly varying fluxes are also qualitatively retrieved, but steep variations of the flux are hard to recover. These findings are confirmed by inversions of experimental data taken on calibrated samples. The proposed methodology is capable of identifying heat sources generated in lock-in vibrothermography experiments.

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Bayesian Inference for 3D Volumetric Heat Sources Reconstruction from Surfacic IR Imaging

Cited by 6 publications

References 16 publications

3D reconstruction of thermal volumetric sources from surface temperature fields measured by infrared thermography

3D reconstruction of thermal volumetric sources from surface temperature fields measured by infrared thermography

Ultra-broadband contactless imaging power meter

Vertical Cracks Excited in Lock-in Vibrothermography Experiments: Identification of Open and Inhomogeneous Heat Fluxes

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