Abstract
In fan-beam diffraction tomography (DT), a scattering object is interrogated using a cylindrical acoustical or electromagnetic wavefield, and the scattered wavefield around the object is measured and used to reconstruct the refractive index distribution of the scattering object. Recently, there has been a strong interest in developing ultrasound-, microwave- and photon density-based DT systems as medical imaging modalities. In conventional fan-beam computed tomography (CT), it is possible to reduce the scanning time by use of the so-called minimal-scan approach (also referred to as the halfscan approach) in which one acquires the minimal-scan fan-beam sinogram at projection angles from zero to π plus the fan angle. It is widely believed that in fan-beam DT, measurements from a full angular range of 2π around the scattering object are generally required to exactly reconstruct a complex-valued refractive index distribution. In this work we reveal that to perform an exact reconstruction, one needs measurements only over the angular range 0 ≤ φ ≤ φmin, where π < φmin ≤ 3π/2 is a specified function describing the fan-beam DT geometry. Based on this observation, we develop minimal-scan reconstruction algorithms for fan-beam DT. We also present a discussion of the conceptual similarities between the minimal-scan fan-beam DT and CT reconstruction problems.
Original language | English (US) |
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Pages | 15/3-15/7 |
State | Published - 2000 |
Externally published | Yes |
Event | 2000 IEEE Nuclear Science Symposium Conference Record - Lyon, France Duration: Oct 15 2000 → Oct 20 2000 |
Other
Other | 2000 IEEE Nuclear Science Symposium Conference Record |
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Country/Territory | France |
City | Lyon |
Period | 10/15/00 → 10/20/00 |
ASJC Scopus subject areas
- Computer Vision and Pattern Recognition
- Industrial and Manufacturing Engineering