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Image Reconstruction by Gengsheng Lawrence Zeng

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3Fan-beam image reconstruction

The image reconstruction algorithms discussed in Chapter 2 are for parallel-beam imaging. If the data acquisition system produces projections that are not along parallel lines, the image reconstruction algorithms presented in Chapter 2 cannot be applied directly. This chapter uses the flat detector and curved detector fan-beam imaging geometries to illustrate how a parallel-beam reconstruction algorithm can be converted to user’s imaging geometry for image reconstruction.

3.1Fan-beam geometry and the point spread function

The fan-beam imaging geometry is common in X-ray computed tomography (CT), where the fan-beam focal point is the X-ray source. A fan-beam imaging geometry and a parallel-beam imaging geometry ...

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