Abstract
We describe a principle to determine which features of an object will be easy to reconstruct from limited X-ray CT data and which will be difficult. The principle depends on the geometry of the data set, and it applies to any limited data set. We also describe a characterization of Frikel and the author explaining artifacts that can be added to limited angle reconstructions, and we provide an easy-to-implement method to decrease them. These ideas are justified using microlocal analysis, deep mathematics that involves Fourier theory. Reconstructions from simulated and real limited data are given to illustrate our ideas.
| Original language | English |
|---|---|
| Journal | Sensing and Imaging |
| Volume | 18 |
| Issue number | 1 |
| Number of pages | 14 |
| ISSN | 1557-2064 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Engineering
- Electrical Engineering
- Microwaves, RF and Optical Engineering
- Imaging / Radiology
- SC8
- X-ray tomography
- Limited tomographic data
- Artifacts
- Microlocal analysis
- Instrumentation
- Electrical and Electronic Engineering
- Functional analysis
- Imaging systems
- Repair
- Tomography
- Fourier theory
- Limited data
- Limited data sets
- Limited-angle reconstruction
- Tomographic data
- Computerized tomography