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Complementary sequences for coded aperture imaging

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TLDR
The coded aperture approach as discussed by the authors uses a coding mask with a large number of pinholes and a reconstruction of the image by correlation with a corresponding decoding mask, which has been achieved in high-energy astronomy, but difficulties persist in biologic and medical imaging.
Abstract
Pinhole cameras have been used for imaging in the high energy radiation domain, e.g., for X-rays or gamma-rays, when lenses or other focussing devices can no longer be used. The main problem with pinhole cameras is the contradiction between the resolution - which requires small pinholes, and the sensitivity - which asks for large apertures. The paper discusses the coded aperture approach which uses a coding mask with a large number of pinholes and a reconstruction of the image by correlation with a corresponding decoding mask. Very good results have been achieved this way in high-energy astronomy, but difficulties persist in biologic and medical imaging, in particular in single-photon emission computed tomography (SPECT), because of the artifacts in the near-field imaging.

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Citations
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References
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A Framework for the Construction of Golay Sequences

TL;DR: Fiedler and Chu as discussed by the authors gave an algebraic normal form for m! · 2 ordered Golay pairs of length 2 over Z2h, involving m!/2 · 2 h(m+1) Golay sequences.
Journal ArticleDOI

How Do More Golay Sequences Arise

TL;DR: It is shown how these sequences arise from interleaving and concatenation of two classes of Golay complementary sequences given as an example by Davis and Jedwab.
Journal Article

A Framework for the Construction of Golay Sequences. Commentary

TL;DR: Fiedler and Chu as mentioned in this paper gave an algebraic normal form for m!·2 h(m+2) ordered Golay pairs of length 2 m over Z2h, involving m!/2 ·2 h (m+1) Golay sequences.
Book ChapterDOI

On Complementary Sequences

TL;DR: A set of complex-valued sequences Sj =(sj1, sj2, ..., sJN) is called complementary if the sum R(·) of their auto-correlation functions kj=1 k satisfies thesum of j = 1 k.
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