Sampling Theory and Parallel-Beam Tomography
This article contains a tutorial on the interaction between sampling theory and tomography as well as some new results. We explore how sampling theorems are used in tomography to identify efficient data acquisition schemes, facilitate an error analysis for reconstruction algorithms, and provide a qualitative understanding of some image artifacts. In turn, applications in tomography have stimulated research on new estimates for the aliasing error and in non-uniform sampling theory. New results are included in an analysis of artifacts caused by undersampling.
KeywordsSampling Condition Reciprocal Lattice Sampling Theory Sampling Lattice Convolution Kernel
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