In multiphase flow detection, wire-mesh sensors are an important detection tool. However, the reconstructed image is heavily jagged due to the rectangular measurement of the sensor structure. In order to overcome this shortcoming, an higher degree total variation (HDTV) algorithm based on a total variation imaging algorithm is applied to the image reconstruction of a wire-mesh sensor. This algorithm uses the directional derivative in each direction as a regularity and is applied to the equation with the smallest residual. Combining the HDTV algorithm with a split Bregman (SB) algorithm, the calculation speed of the algorithm is accelerated and, finally, a HDTV-SB image reconstruction algorithm which can be applied to the Jacobian matrix is obtained. Subsequently, we performed static simulation experiments of complex flow patterns and compared them with some traditional algorithms. Experiments show that the image reconstruction quality of the HDTV-SB algorithm is higher than other algorithms. Finally, quantitative experiments are carried out on the two important parameters of the HDTV-SB algorithm. The results show that if the parameters are adjusted within a certain range, a one-step to two-step iteration can obtain a better reconstructed image.
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