3D Image Reconstruction from Compton camera data
@article{Kuchment20163DIR, title={3D Image Reconstruction from Compton camera data}, author={P. Kuchment and F. Terzioglu}, journal={arXiv: Data Analysis, Statistics and Probability}, year={2016} }
In this paper, we address analytically and numerically the inversion of the integral transform (\emph{cone} or \emph{Compton} transform) that maps a function on $\mathbb{R}^3$ to its integrals over conical surfaces. It arises in a variety of imaging techniques, e.g. in astronomy, optical imaging, and homeland security imaging, especially when the so called Compton cameras are involved.
Several inversion formulas are developed and implemented numerically in $3D$ (the much simpler $2D$ case was… CONTINUE READING
Figures and Tables from this paper
4 Citations
New properties of the attenuated V-line transform for breast cancer detection with Compton cameras
- 2017
Compton camera study for high efficiency SPECT and benchmark with Anger system.
- Physics, Medicine
- Physics in medicine and biology
- 2017
- 19
Monitoring Ion Beam Therapy With a Compton Camera: Simulation Studies of the Clinical Feasibility
- Physics
- IEEE Transactions on Radiation and Plasma Medical Sciences
- 2020
- 8
References
SHOWING 1-10 OF 54 REFERENCES
Filtered Backprojection Reconstruction and Redundancy in Compton Camera Imaging
- Physics, Medicine
- IEEE Transactions on Image Processing
- 2014
- 20
- PDF
Application of spherical harmonics to image reconstruction for the Compton camera.
- Physics, Medicine
- Physics in medicine and biology
- 1998
- 105
- Highly Influential
- PDF
Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors
- Physics, Computer Science
- SIAM J. Imaging Sci.
- 2016
- 25
- PDF
Towards direct reconstruction from a gamma camera based on Compton scattering
- Physics, Computer Science
- IEEE Trans. Medical Imaging
- 1994
- 125
- PDF
A series formula for inversion of the V-line Radon transform in a disc
- Computer Science, Mathematics
- Comput. Math. Appl.
- 2013
- 33