Reflection mode diffraction tomography.

A reconstruction algorithm is presented which possesses a simple scanning geometry and promises higher resolution than conventional transmission mode diffraction tomography algorithms. This broad-band reflection mode algorithm inherently lacks a certain amount of low frequency information but an estimate of the information is recovered by spectral extrapolation. The resolution of the algorithm will be shown to be limited by the bandwidth and physical size of the single plane wave transducer, as well as the Born approximation.

[2]  A. Devaney.  A Filtered Backpropagation Algorithm for Diffraction Tomography , 1982 .

[3]  J. Cadzow,et al.  An extrapolation procedure for band-limited signals , 1979 .

[4]  E. Wolf,et al.  Inverse Diffraction and a New Reciprocity Theorem , 1968 .

[5]  T Sato,et al.  Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces. , 1981, Applied optics.

[6]  James F. Greenleaf,et al.  QUANTITATIVE SYNTHETIC APERTURE REFLECTION IMAGING WITH CORRECTION FOR REFRACTION AND ATTENUATION: APPLICATION OF SEISMIC TECHNIQUES IN MEDICINE. , .

[7]  J. Goodman.  Introduction to Fourier optics , 1969 .

[8]  R.W. Schafer,et al.  Constrained iterative restoration algorithms , 1981, Proceedings of the IEEE.

[9]  S. Norton,et al.  Ultrasonic Reflectivity Tomography: Reconstruction with Circular Transducer Arrays , 1979 .

[10]  J. L. Harris,et al.  Diffraction and Resolving Power , 1964 .

[11]  D. Youla,et al.  Image Restoration by the Method of Convex Projections: Part 1ߞTheory , 1982, IEEE Transactions on Medical Imaging.

[12]  P. Wells,et al.  Review: absorption and dispersion of ultrasound in biological tissue. , 1975, Ultrasound in medicine & biology.

[13]  A. Papoulis.  A new algorithm in spectral analysis and band-limited extrapolation. , 1975 .

[14]  Avinash C. Kak,et al.  Multiple Scattering and Attenuation Phenomena in Diffraction Imaging , 1985 .

[15]  H. Trussell,et al.  The feasible solution in signal restoration , 1984 .

[16]  Stephen J. Norton,et al.  Ultrasonic Reflectivity Imaging in Three Dimensions: Exact Inverse Scattering Solutions for Plane, Cylindrical, and Spherical Apertures , 1981, IEEE Transactions on Biomedical Engineering.

[17]  J. P. Burg,et al.  Maximum entropy spectral analysis. , 1967 .

[18]  A N Venetsanopoulos,et al.  Modelling and restoration of ultrasonic phased-array B-scan images. , 1985, Ultrasonic imaging.

[19]  D. E. Robinson,et al.  Lateral Deconvolution of Ultrasonic Beams , 1984 .

[20]  A. Kak,et al.  A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation , 1983 .

[21]  Adriaan van den Bos,et al.  Alternative interpretation of maximum entropy spectral analysis (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[22]  R. Gerchberg.  Super-resolution through Error Energy Reduction , 1974 .

[23]  Stephen J. Norton,et al.  Reconstruction of a two‐dimensional reflecting medium over a circular domain: Exact solution , 1980 .

[24]  S.A. Goss,et al.  Computed Ultrasonic Reflection Tomography , 1987, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[25]  L. E. Larsen,et al.  Limitations of Imaging with First-Order Diffraction Tomography , 1984 .

[26]  M. Sezan,et al.  Image Restoration by the Method of Convex Projections: Part 2-Applications and Numerical Results , 1982, IEEE Transactions on Medical Imaging.

[27]  Stephen J. Norton.  Generation of Separate Density and Compressibility Images in Tissue , 1983 .

[28]  R. Mountford,et al.  Ultrasonic liver scanning: the A-scan in the normal and cirrhosis. , 1972, Physics in medicine and biology.

[29]  Gregory Beylkin,et al.  A new formalism and an old heuristic for seismic migration , 1984 .

[30]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[31]  W. Gabriel.  Spectral analysis and adaptive array superresolution techniques , 1980, Proceedings of the IEEE.

[32]  Gregory Beylkin,et al.  Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform , 1985 .

[33]  D. Gershfeld,et al.  Special functions for engineers and applied mathematicians , 1986, IEEE Journal of Oceanic Engineering.

[34]  David Nahamoo.  ULTRASONIC DIFFRACTION IMAGING , 1982 .

[35]  G Beylkin,et al.  Reconstructing discontinuities in multidimensional inverse scattering problems: smooth errors vs small errors. , 1985, Applied optics.

[36]  D. Nahamoo,et al.  Synthetic Aperature Diffraction Tomography and Its Interpolation-Free Computer Implementation , 1984, IEEE Transactions on Sonics and Ultrasonics.