Estimating the Center of Rotation of Tomographic Imaging Systems with a Limited Number of Projections

2021 ◽  
Author(s):  
Huanyi Zhou ◽  
Stanley J. Reeves ◽  
Peter R. Panizzi
Keyword(s):  
Tomographic Imaging ◽  
Imaging Systems ◽  
Center Of Rotation

scholarly journals The Mathematical Foundations of 3D Compton Scatter Emission Imaging

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
T. T. Truong ◽  
M. K. Nguyen ◽  
H. Zaidi
Keyword(s):  
Gamma Rays ◽  
Radon Transform ◽  
Scattered Radiation ◽  
Three Dimensional ◽  
Tomographic Imaging ◽  
Imaging Systems ◽  
Two Dimensional ◽  
Radon Transforms ◽  
Compton Scatter ◽  
Mathematical Foundations

The mathematical principles of tomographic imaging using detected (unscattered) X- or gamma-rays are based on the two-dimensional Radon transform and many of its variants. In this paper, we show that two new generalizations, called conical Radon transforms, are related to three-dimensional imaging processes based on detected Compton scattered radiation. The first class of conical Radon transform has been introduced recently to support imaging principles of collimated detector systems. The second class is new and is closely related to the Compton camera imaging principles and invertible under special conditions. As they are poised to play a major role in future designs of biomedical imaging systems, we present an account of their most important properties which may be relevant for active researchers in the field.

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