In this work a 3D flame reconstruction is performed from a 2D projection of the hot gases of a combustion flame. The projection is obtained using an optical schlieren technique. In this technique, a schlieren image is integrated linearly to obtain the hot gases, and then, a temperature field. Each row of the matrix representing the temperature distribution is fitted with a specific function, and its respective error is calculated. In this way, the projected matrix can be represented with the fitted functions. As a result of the procedure used in this research, a slice of the flame is obtained by assuming a cylindrical symmetry of it and multiplying the fitted function by itself. Finally, it was evaluated the mean error in calculations of temperature intensity in the flame under the cylindrical symmetry assumption obtaining an accuracy of 96% which validates the efficiency of our method.

中文翻译：

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通过schlieren投影进行3D火焰重建和误差计算

在这项工作中，从燃烧火焰的热气体的2D投影执行3D火焰重建。该投影是使用光学谢里尔技术获得的。在该技术中，将纹影图像线性积分以获得热气体，然后获得温度场。代表温度分布的矩阵的每一行都配有特定函数，并计算其各自的误差。这样，可以用拟合函数表示投影矩阵。作为这项研究中所使用程序的结果，通过假定火焰呈圆柱对称并将拟合函数与其自身相乘，可以得到一片火焰。最后，