Work

A General Formula for Fan‐Beam Lambda Tomography

Year: 2007
Type: article
Abstract: Lambda tomography (LT) is to reconstruct a gradient-like image of an object only from local projection data. It is potentially an important technology for medical X-ray computed tomography (CT) at a reduced radiation dose. In this paper, we prove the first general formula for exact and efficient fan-beam LT from data collected along any smooth curve based on even and odd data extensions. As a result, an LT image can be reconstructed without involving any data extension. This implies that structures outside a scanning trajectory do not affect the exact reconstruction of points inside the trajectory even if the data may be measured through the outside features. The algorithm is simulated in a collinear coordinate system. The results support our theoretical analysis.
Language: English
Field: Medicine
Open Access status: gold
Estimated APC paid: $1,000
OpenAlex ID: W2030897219
FWCI: 2.736
Cites: 24
Cited by: 24
Related to: 10