Algebraic Reconstruction of Spatial Distributions of Acoustic Absorption within Tissue from Their Two-Dimensional Acoustic Projections
It has been known for many years that three-dimensional information concerning the spatial distribution of energy absorbers within an object could be obtained from two-dimensional shadow projections of the energy absorption of the object (1). Two-dimensional projections or shadows of the absorption of an object can be obtained using many forms of energy such as light, x-radiation, electrons, or sound. The problem was treated in abstract mathematics as early as 1917 by Radon (2). The first practical solution of this problem was obtained by Bracewell in 1954 (3) who applied the technique to radioastronomy. The first application of these kinds of techniques to biology were probably done by DeRosier and Klug who obtained the cross-sectional structure of the tail of a bacteria phage from one-dimensional projections obtained with electrons in an electron microscope (4).
KeywordsUltrasonic Energy Canine Heart Energy Absorber Algebraic Reconstruction Technique Acoustic Absorption
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