Abstract
Since ultrasound reflection mode tomographic imaging method was proposed by S.J.Norton et al. 1,2, many scientists have been interested in this method because of its simple measuring equipment required and capability of achieving high resolution in both range and azimuth directions simultaneously. It is difficult to obtain exact reconstruction of a two-dimensional reflection mode tomography. Generally, the filtered backprojection method used in X-ray tomography is employed. However, the distortion of the reconstructed images will happen because of wavefront curvature when the far field condition is not satisfied. T.K.Truong et.al.3 proposed an extended method named “An extended version of the tomographic transform convolution for the wavefront curvature” under paraxial approximation condition. Unfortunately, it is difficult to calculate the second modified term in Eq.(19) of the paper.3
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References
S.J.Norton and M.Linzer,“ Ultrasonic reflectivity tomography : reconstruction with circular transducer array ” , Ultrasonic Imaging 1, pp. 154–184, (1979).
S.J.Norton,“ Reconstruction of a reflectivity field from line integrals over circular paths,” JASA, Vol.67(3), Mar. 1980, pp.853–863.
T.K.Truong and I.S.Reed,“ An Extended Version of the Tomographie Transform Convolution for the Wavefront Curvature ” , ACTA ELECTRONICA SINICA, CHINA, Vol.15, No.3, pp. 11–14, May 1987.
C.Q.Lan and Y.H.Chen,“ The Fourier slice theorem for ultrasonic reflectivity tomography and the correction to the effect caused by curvature of integral lines, ” CHINESE JOURNAL OF ACOUSTICS, Vol.12, No.1, Jan. 1993, pp. 1–12.
M.Nassi, W.R.Brody, B.P.Medoff and A.Macovski,“ Iterative reconstruction-reprojection: an algorithm for limited data cardiac-computed tomography ” , IEEE Trans. on Biomedical Engineering, Vol.29, No.5, May 1982, pp. 333–340.
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© 1993 Springer Science+Business Media New York
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Lan, C.Q., Chen, Y.H., Xu, K.K., Li, L., Xiong, W., Tong, S.W. (1993). Iterative Method Applied to Ultrasound Reflection Mode Tomography with Circular and Planar Transducer Arrays. In: Wei, Y., Gu, B. (eds) Acoustical Imaging. Acoustical Imaging, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2958-3_13
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DOI: https://doi.org/10.1007/978-1-4615-2958-3_13
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