The Digital Reconstruction of Multidimensional Signals from Their Projections.
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1972
- Accession Number
- ADA007614
Entities
People
- R. M. Mersereau
Organizations
- Massachusetts Institute of Technology