Fig. 4: Illustration of a cutline extraction algorithm which converts the two-dimensional XPCI frame of the shock front into a one-dimensional intensity plot.
From: Data-driven picosecond X-ray imaging for quantitative plasma-induced shock characterization

a Example of the shock contour cutlines being extracted via a spline fit to the shock in an XPCI frame, in this case the fifth image from Fig. 2b (t = 234 ns). b By averaging together all of these extracted cutlines, we arrive at the solid black average cutline, with dotted lines showing upper and lower quartiles of this averaging. The solid red line shows the simulated XPCI shock front profile (Equation (2)) that best fits this image; in this case this method suggests a post-shock density of \({\rho }_{2}=0.79{9}_{-0.057}^{+0.116}{{{\rm{g}}}}/{{{\rm{cc}}}}\,({\rho }_{2}/{\rho }_{1}=1.17{6}_{-0.084}^{+0.171})\).