Implementation, investigation, and improvement of a novel cone-beam reconstruction method [SPECT]

A three-dimensional reconstruction method which uses cone-beam data was implemented. Issues concerning implementation are investigated and discussed in detail. Computer simulations were used to determine the amount of image degradation occurring in each of the three steps that comprise the reconstruction method. In addition, computer simulations were used to investigate issues concerning sampling. Improvements in the implementation were made. Additionally, suggestions for future efforts to improve the implementation are made.

[1]  M. Schlindwein Iterative Three-Dimensional Reconstruction from Twin-Cone Beam Projections , 1978, IEEE Transactions on Nuclear Science.

[2]  L. A. Nazarova,et al.  A problem of I. M. Gel'fand , 1973 .

[3]  H. Tuy AN INVERSION FORMULA FOR CONE-BEAM RECONSTRUCTION* , 1983 .

[4]  Berthold K. P. Horn Fan-beam reconstruction methods , 1979, Proceedings of the IEEE.

[5]  A K Louis Optimal Sampling in Nuclear Magnetic Resonance (NMR) Tomography , 1982, Journal of computer assisted tomography.

[6]  D. Murio,et al.  Discrete stability analysis of the mollification method for numerical differentiation , 1990 .

[7]  R. Jaszczak,et al.  Cone beam collimation for single photon emission computed tomography: analysis, simulation, and image reconstruction using filtered backprojection. , 1986, Medical physics.

[8]  Bruce D Smith COMPUTER-AIDED TOMOGRAPHIC IMAGING FROM CONE-BEAM DATA , 1987 .

[9]  H. Kudo,et al.  Feasible cone beam scanning methods for exact reconstruction in three-dimensional tomography. , 1990, Journal of the Optical Society of America. A, Optics and image science.

[10]  David V. Finch CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE , 1985 .

[11]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[12]  Bruce D. Smith Image Reconstruction from Cone-Beam Projections: Necessary and Sufficient Conditions and Reconstruction Methods , 1985, IEEE Transactions on Medical Imaging.

[13]  Shepp La Computerized tomography and nuclear magnetic resonance. , 1980 .

[14]  Francoise C. Peyrin,et al.  The Generalized Back Projection Theorem for Cone Beam Reconstruction , 1985, IEEE Transactions on Nuclear Science.

[15]  Bruce D. Smith Cone-beam tomography: recent advances and a tutorial review , 1990 .

[16]  P. Grangeat Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform , 1991 .

[17]  Diego A. Murio,et al.  Automatic numerical differentiation by discrete mollification , 1987 .

[18]  G. N. Ramachandran,et al.  Three-dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[19]  Kennan T. Smith,et al.  The divergent beam x-ray transform , 1980 .