Tomography for reconstructing continuous fields from ill-posed multidirectional interferometric data.

A computational tomographic technique has been developed to accurately reconstruct continuous flow fields of a simple shape from severely limited interferometric data. The algorithm is based on iterative reconstruction of the complementary field, the difference between the field to be reconstructed and its estimate. Its advantages lie in the treatment of various ill-posed problems in a unified manner and ease of incorporation of a priori information, even an approximate field shape. In principle it can utilize only available data. Test results demonstrated stable convergence and potential for substantial error reduction with a proper field estimate.

[1]  Rangaraj M. Rangayyan,et al.  Geometric Deconvolution: A Meta-Algorithm for Limited View Computed Tomography , 1983, IEEE Transactions on Biomedical Engineering.

[2]  D. Modarress,et al.  Algebraic Reconstruction Technique Code For Tomographic Interferometry , 1985 .

[3]  B. F. Logan,et al.  The Fourier reconstruction of a head section , 1974 .

[4]  Michael A. Fiddy,et al.  Stable, noniterative object reconstruction from incomplete data using a priori knowledge , 1983 .

[5]  William R. Brody,et al.  Iterative convolution backprojection algorithms for image reconstruction from limited data , 1983 .

[6]  D. Sweeney,et al.  Measurement of three-dimensional temperature fields above heated surfaces by holographic interferometry , 1974 .

[7]  W. Charles Spring,et al.  Quantitative Determination of Three-Dimensional Density Field by Holographic Interferometry , 1975 .

[8]  G. W. Wecksung,et al.  Bayesian approach to limited-angle reconstruction in computed tomography , 1983 .

[9]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[10]  C M Vest,et al.  Tomographic reconstruction of strongly refracting fields and its application to interferometric measurement of boundary layers. , 1981, Applied optics.

[11]  Ronald N. Bracewell,et al.  Image reconstruction over a finite field of view , 1975 .

[12]  A P Dhawan,et al.  Algorithms for limited-view computed tomography: an annotated bibliography and a challenge. , 1985, Applied optics.

[13]  G. Weiss,et al.  A new approach to interpolation in computed tomography. , 1978, Journal of computer assisted tomography.

[14]  R M Rangayyan,et al.  Image restoration by Wiener deconvolution in limited-view computed tomography. , 1985, Applied optics.

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

[16]  Soyoung Stephen Cha.  Interferometric Tomography For Three-Dimensional Flow Fields Via Envelope Function And Orthogonal Series Decomposition , 1988 .

[17]  C M Vest,et al.  Tomography by iterative convolution: empirical study and application to interferometry. , 1984, Applied optics.