超声反射层析成像的Fourier切片理论及对积分线弯曲影响的修正

Fourier slice theorem for ultrasonic reflective tomography and correction to the effect caused by curvature of integral lines

本文针对不同接收方式推导了超声反射层析成像模型在远场条件下的Fourier切片理论,在此基础上,进一步给出了旁轴近似条件下的迭代重建公式,通过这种迭代运算,可以逐步消除投影积分线弯曲的影响,从而改善重建像的质量。

For ultrasonic reflective tomographic imaging of different transmitter-receiver mode, we demonstrate that the Fourier slice theorem can be used when the distance between the transducer and origin becomes great as compared to the size of the object to be reconstructed. Iterative formula for reconstruction based on the Fourier slice theorem is proposed for the case in which the paraxial approximation holds. The effect caused by the curvature of integral lines may be eliminated itera-tively and better reconstructed images can be expected.