Mathematics
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icrc....3..295f&link_type=abstract
In NASA. Goddard Space Flight Center 19th Intern. Cosmic Ray Conf., Vol. 3 p 295-298 (SEE N85-34862 23-93)
Mathematics
Apertures, Arrays, Coding, Imaging Techniques, Redundancy, Data Transmission, Hexagons, Lattices (Mathematics), Mathematical Models
Scientific paper
Uniformly redundant arrays are used in coded-aperture imaging, a technique for forming images without mirrors or lenses. The URAs constructed on hexagonal lattices, are outlined. Details are presented for the construction of a special class of URAs, the skew-Hadamard URAs, which have the following properties: (1) nearly half open and half closed (2) antisymmetric upon rotation by 180 deg except for the central cell and its repetitions. Some of the skew-Hadamard URAs constructed on a hexagonal lattice have additional symmetries. These special URAs that have a hexagonal unit pattern, and are antisymmetric upon rotation by 60 deg, called hexagonal uniformly redundant arrays (HURAs). The HURAs are particularly suited to gamma-ray imaging in high background situations. In a high background situation the best sensitivity is obtained with a half open and half closed mask. The hexagonal symmetry of an HURA is more appropriate for a round position-sensitive detector or a closed-packed array of detectors than a rectangular symmetry.
Finger Mark H.
Prince Thomas A.
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