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For ultrasonic reflective tomographic imaging of differenttransmitter-receiver mode,we demonstrate that the Fourier slice theorem canbe used when the distance between the transducer and origin becomes muchlarger than the object to be reconstructed.Iterative reconstruction formulabased on the Fourier slice theorem is proposed for the case in which theparaxial approximation holds.The effect caused by the curvature of integrallines may be eliminated iteratively and better reconstructed images can be ex-pected.
For ultrasonic reflective tomographic imaging of different transmission-receiver mode, we demonstrate that the Fourier-slice theorem canbe used when the distance between the transducer and origin becomes much largerr than the object to be reconstructed. Iterative reconstruction formula based on the Fourier-slice theorem is proposed for the case in which theparaxial approximation holds.The effect caused by the curvature of integrallines may be eliminated iteratively and better reconstructed images can be ex-pected.