Journal article
Artifacts and Visible Singularities in Limited Data X-Ray Tomography
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.
| Language: | English |
|---|---|
| Publisher: | Springer US |
| Year: | 2017 |
| Pages: | 1-14 |
| Journal subtitle: | Continuing Subsurface Sensing Technologies and Applications |
| ISSN: | 15572072 and 15572064 |
| Types: | Journal article |
| DOI: | 10.1007/s11220-017-0158-7 |
| ORCIDs: | 0000-0002-8993-8737 |
Artifacts Computerized tomography Electrical Engineering Electrical and Electronic Engineering Engineering Fourier theory Functional analysis Imaging / Radiology Imaging systems Instrumentation Limited data Limited data sets Limited tomographic data Limited-angle reconstruction Microlocal analysis Microwaves, RF and Optical Engineering Repair SC8 Tomographic data Tomography X-ray tomography
