The Digital Reconstruction of Multidimensional Signals from Their Projections.
Conference proceedings rept.,
MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS
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Several algorithms for approximating a multidimensional density function in terms of its projections x-ray photographs at different orientations are presented. This is accomplished by means of a theorem which states that the Fourier transform of a projection of a function is a slice central section of the Fourier transform of that function. Special emphasis is given to bandlimited functions as these are readily digitized. Some theorems are presented which state that bandlimited functions of a certain class can be represented by a single projection.
- Test Facilities, Equipment and Methods