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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Parallel-Beam Image Reconstruction
verfasst von : Prof. Dr. Gengsheng Lawrence Zeng
Erschienen in: Medical Image Reconstruction
Verlag: Springer Berlin Heidelberg
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This chapter introduces the central slice theorem, which is the function of tomography. This theorem relates the 2D image with its 1D projections in the Fourier domain. From this theorem, many image reconstruction algorithms are derived. Among these algorithms, the filtered backprojection (FBP) algorithm is the most popular one, which consists of a ramp-filtering step and a backprojection step. The filtering can be implemented as a multiplication in the Fourier domain or as a convolution in the spatial domain. A recent hot topic of region-of-interest (ROI) reconstruction with truncated projections is included in this chapter.