The forward and inverse problems in time resolved infrared imaging

This paper introduces the general principles involved in inverse problems in medical imaging, and describes the main theoretical principles behind Time-resolved Optical Absorption and Scattering Tomography (TOAST). The problem is viewed as the optimisation of an error-norm derived from correlated statistics of the time-dependent photon intensity at the surface of an object. The field is compared with Electrical Impedance Tomography (EIT). A comparison of inverse methods are made and several regularisation schemes are described.

[1]  Stefan Andersson-Engels,et al.  Time-resolved transillumination for medical diagnostics , 1991, Photonics West - Lasers and Applications in Science and Engineering.

[2]  G. Weiss,et al.  Model for photon migration in turbid biological media. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[3]  Simon R. Arridge,et al.  Reconstruction methods for infrared absorption imaging , 1991, Photonics West - Lasers and Applications in Science and Engineering.

[4]  P. Jackson,et al.  The development of a system for transillumination computed tomography. , 1987, The British journal of radiology.

[5]  M. Neuman,et al.  Impedance computed tomography algorithm and system. , 1985, Applied optics.

[6]  S Nioka,et al.  Quantitation of time- and frequency-resolved optical spectra for the determination of tissue oxygenation. , 1991, Analytical biochemistry.

[7]  Robert V. Kohn,et al.  Numerical implementation of a variational method for electrical impedance tomography , 1990 .

[8]  Simon R. Arridge,et al.  Iterative reconstruction of near-infrared absorption images , 1992, Optics & Photonics.

[9]  Andrew Todd-Pokropek,et al.  Medical Images: Formation, Handling and Evaluation , 1992, NATO ASI Series.

[10]  Harry L. Graber,et al.  Imaging of scattering media by diffusion tomography: an iterative perturbation approach , 1992, Photonics West - Lasers and Applications in Science and Engineering.

[11]  R. Arridget,et al.  The theoretical basis for the determination of optical pathlengths in tissue: temporal and frequency analysis , 1992 .

[12]  M. Schweiger,et al.  A finite element approach for modeling photon transport in tissue. , 1993, Medical physics.

[13]  T K Hames,et al.  Spectral expansion analysis in electrical impedance tomography , 1991 .

[14]  Philip Kohn,et al.  Image Reconstruction of the Interior of Bodies That Diffuse Radiation , 1990, Science.

[15]  B. Brown,et al.  Recent Developments in Applied Potential Tomography-APT , 1986 .

[16]  H. Stark,et al.  Tomographic image reconstruction using the theory of convex projections. , 1988, IEEE transactions on medical imaging.

[17]  J. Maarek,et al.  Imaging mammalian tissues and organs using laser collimated transillumination. , 1984, Journal of biomedical engineering.

[18]  B. Wilson,et al.  Monte Carlo modeling of light propagation in highly scattering tissues. I. Model predictions and comparison with diffusion theory , 1989, IEEE Transactions on Biomedical Engineering.

[19]  Joseph R. Lakowicz,et al.  Frequency-domain measurements of photon migration in tissues , 1990 .

[20]  S. Arridge,et al.  Estimation of optical pathlength through tissue from direct time of flight measurement , 1988 .

[21]  S Nioka,et al.  Comparison of time-resolved and -unresolved measurements of deoxyhemoglobin in brain. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[22]  Britton Chance,et al.  Applications of time-resolved light scattering measurements to photodynamic therapy dosimetry , 1990, Photonics West - Lasers and Applications in Science and Engineering.

[23]  G. Herman,et al.  Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography. , 1970, Journal of theoretical biology.

[24]  Hideo Eda,et al.  Noninvasive hemoglobin oxygenation monitor and computed tomography by NIR spectrophotometry , 1991, Photonics West - Lasers and Applications in Science and Engineering.

[25]  S. R. Arridge,et al.  Visualization of the Oxygenation State of Brain and Muscle in Newborn Infants by Near Infra-Red Transillumination , 1986 .