3D Temperature Field Reconstruction: A Comparison Study of Direct and Indirect Method

摘要

The reconstructions of 3D temperature fields by acoustic tomography are studied. Three cross-sections of the cylinder space to be measured are selected as typical planes; each plane has 8 acoustic sensors amounted on its periphery. Using the reconstruction algorithm based on Markov radial basis function and Tikhonov regularization we proposed, the 3D temperature distributions in the space are obtained in two ways. The first, called indirect 3D, is to reconstruct the 2D temperature fields of the three planes by 2D reconstruction algorithm and to interpolate them into a 3D distribution. The second, called direct 3D, is to reconstruct the 3D temperature fields directly by 3D reconstruction algorithm. Reconstructions of three temperature field models demonstrate that the direct method has better ability in complex 3D temperature field reconstruction at the expense of more travel-times to be measured.