Abstract
3D kinematic fields are measured using an original stereovision system composed of one infrared (IR) and one visible light camera. Global stereocorrelation (SC) is proposed to register pictures shot by both imaging systems. The stereo rig is calibrated by using a NURBS representation of the 3D target. The projection matrices are determined by an integrated approach. The effect of gray level and distortion corrections is assessed on the projection matrices. SC is performed once the matrices are calibrated to measure 3D displacements. Amplitudes varying from 0 to 800 μm are well captured for in-plane and out-of-plane motions. It is shown that when known rigid body translations are applied to the target, the calibration can be improved when its actual metrology is approximate. Applications are shown for two different setups for which the resolution of the IR camera has been modified.
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Appendix: Hybrid StereoRig at Higher Magnification
Appendix: Hybrid StereoRig at Higher Magnification
In order to have a better spatial resolution, a G1 lens may also be used for the IR camera (FLIR x6540sc, 640 × 512 pixels, pitch = 15 μm). The observed sample imposes the latter to be positioned normal to its surface (see Fig. 12) due to the low depth of field.
The IR camera with a G1-lens is calibrated by following the same procedure as above. Since the previous 2D target does not provide sufficient contrast at room temperature, another one is used for the distortion corrections. A grid made of copper is deposited onto a black painted surface. The difference of emissivities (i.e., low for copper and high for the black paint) provides the required contrast. According to the manufacturer the pitch is 480 μm so that a simple grid is generated. The latter is used as a reference in the boxed region of interest (ROI) of Fig. 13.
The measured distortion fields are illustrated in Fig. 14. As observed with the visible light camera, they are vanishing in the image center and reach 1.5 pixel (or 22.5 μm) near the image borders. Even when expressed in pixels, these orders of magnitude are lower than those observed with the 50-mm lens, thereby proving that the quality of the G1-lens is higher than the 50-mm lens with the 12 mm extension ring.
Once the pictures are corrected from the estimated lens distortions, it is possible to perform the next step, which consists of determining the projection matrices. When the gray levels are assumed to be conserved, the RMS gray level residual is as high as 25.1 % of the dynamic range. When a second order field (polynomial function of order 2) is considered and one blurring kernel it is reduced to 1.2 %. The quality of the residual after GLC corrections (see Fig. 15) is an additional proof of the quality of the estimates.
Similar remarks and conclusions can be drawn from the present study, namely, the initial guess is closer to the matrices determined with GLC and that such corrections should be considered for a better estimation of the projection matrices.
The translational motions are performed by using a manual 3-axis stage. The prescribed and measured rigid body motions are listed in Table 5. In the present case, the integrated version (I-SC) is considered. According to the values reported in Table 5, the displacements are well captured. The difference in terms of displacement component is mostly due to misalignments between the target frame and that of the 3-axis stage.
Globally, the I-SC residuals normalized by the dynamic range of the reference pictures are smaller for the visible light camera (ranging from 0.6 to 1.2 %) when compared with the IR camera (0.6 to 2.1 %) when 3D displacements are measured. These low levels and the fact that the residual map is rather uniform (Fig. 16(b)) when compared to the case with no GLCs (Fig. 16(a)) show that the registration was successful.
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Charbal, A., Dufour, J.E., Hild, F. et al. Hybrid Stereocorrelation Using Infrared and Visible Light Cameras. Exp Mech 56, 845–860 (2016). https://doi.org/10.1007/s11340-016-0127-4
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DOI: https://doi.org/10.1007/s11340-016-0127-4