An analysis of the depth resolution problem in onedimensional coded aperture imaging
Abstract
A detailed analysis is given of a onedimensional coded aperture imaging system which images a twodimensional slice through a more general threedimensional source distribution. A rigorous expression for the point spread function associated with the combined encodingdecoding process is derived. It is demonstrated that the Fresnel zone plate is only one of a large class of aperture codes which, when combined with suitable decoding functions, allow the realization of depth resolution. For the two aperture codes considered, a least squares procedure is used to determine optimum decoding functions which minimize the mean square magnitude of the sidelobes of the point spread functions. The replacement of the initial decoding functions by their optimized counterparts leads to point spread functions which not only oscillate rapidly in sign (thus minimizing the buildup of background), but also have mean square sidelobe magnitudes which are smaller by a factor of two.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT........20S
 Keywords:

 Depth;
 Imaging Techniques;
 Resolution;
 Signal Encoding;
 Computer Graphics;
 Least Squares Method;
 Radiography;
 Spatial Distribution;
 Optics