Three-dimensional reconstruction method for flame chemiluminescence distribution with complicated structure

Abstract

In this study, reconstruction of flame chemiluminescence distribution with complicated structure was numerically investigated and experimentally validated. The ill-conditioned equations were constructed using the quasi-Monte Carlo method and solved by an algebraic reconstruction technique, where the convergence criterion was the Euclidean norm of the dimensionless displacement vector. Results of a phantom study revealed that the number of camera angles is the main restriction on reconstruction accuracy, and increase of the flame's nonhomogeneity improves the sensibility of reconstruction accuracy to image resolution. Results of experimental reconstruction showed the CH* distribution in a Meker burner flame. This work provides a better understanding in how to establish experimental systems for complicated flame reconstruction.

A Survey for 3D Flame Chemiluminescence Tomography: Theory, Algorithms, and Applications

“…However, the tremendous demand of computing power and relatively low computational efficiency inevitably become the drawback of the Monte Carlo statistical method. In contrast to Cai's method, M. Wan et al applied the low-discrepancy sequence of the Monte Carlo method instead of the pseudorandom sequence to achieve the Meker burner flame measurement with higher reconstruction accuracy (Wan et al, 2015). Furthermore, by combining the ray-tracing technique and the Monte Carlo method, Wan and Zhuang (2018) took the inhomogeneous distribution of captured radiance on the image plane into account and analyzed the performance numerically.…”

Development of an absorption-corrected method for 3D computed tomography of chemiluminescence

“…where h represents the iteration index, c the correction term, α the relaxation factor that controls the convergence rate of the iteration and w s,t is a vector incorporating all the weight coefficients corresponding to a specific pixel. Equation ( 10) is different from the ART as used in [27,30,31] due to the nonlinear correction term c, which is defined as…”