Expanding the domain of contraction mapping in the inverse problem of imaging with incoherently scattered radiation

Inverse Problems

Volumn 23, Issue 3, 2007, Pages 1289-1309

  Hussein, Esam M A ^a   Bowles, John T C ^a  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; ITERATIVE METHODS; RADIATION; SCATTERING;

FORWARD PROBLEMS; MATHEMATICAL FORMULATION; SCATTERED RADIATION;

IMAGING TECHNIQUES;

EID: 34249741515     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/3/026     Document Type: Article

References (15)

1. Hussein E M A 2007 On the intricacy of imaging with incoherently- scattered radiation Nucl. Instrum. Methods Phys. Res. B at press
2. Hussein E M A 2003 Handbook on Radiation Probing, Gauging and Imaging, Volume I: Basics and Techniques (Dordrecht: Kluwer)
3. El Khettabi F and Hussein E M A 2003 An inverse problem for three-dimensional x-ray scatter/transmission imaging Inverse Problems 19 447-95
4. Achmad B and Hussein E M A 2004 An x-ray Compton scatter method for density measurement at a point within an object Appl. Radiat. Isot. 60 805-14
5. Lale P G 1968 The examination of internal tissues by high-energy scattered X radiation Radiology 90 510-7
6. Farmer F T and Collins M P 1970 A new approach to the determination of anatomical cross-section of the body by Compton-scattering of gamma-rays Phys. Med. Biol. 16 577-86
7. Brateman L, Jacobs A M and Fitzgerald L T 1984 Compton scatter axial tomography with x-rays: SCAT-CAT Phys. Med. Biol. 29 1353-70
8. Prettyman T H, Gardner R P, Russ J C and Verghese K 1993 Combined transmission and scattering tomographic approach to composition and density imaging Appl. Radiat. Isot. 44 1327-41
9. Battista J J and Bronskill M J 1981 Compton scatter imaging of transverse sections: an overall appraisal and evaluation for radiotherapy planning Phys. Med. Biol. 26 81-99
10. Hussein E M A, Meneley D A and Banerjee S 1986 On the solution of the inverse problem of radiation scatter imaging Nucl. Sci. Eng. 92 341-9
11. Arendtsz N V and Hussein E M A 1995 Energy-spectral scatter imaging: Part I. Theory and Mathematics IEEE Trans. Nucl. Sci. 42 2155-65
12. Arsenault P J and Hussein E M A 2006 Image reconstruction from the Compton scattering of x-ray fan beams in thick/dense objects IEEE Trans. Nucl. Sci. 53 1622-33
13. Pallet VACIS Inspection System Technical Specifications SAIC San Diego, CA http://www.saic.com/products/security/pallet-vacis/pallet-tech.html
14. Bowles J T 2006 An image reconstruction method for inspecting pallet-sized cargo containers using gamma-ray scattering MScE Thesis University of New Brunswick, Fredericton, NB Canada
15. Tikhonov A N 1977 Solutions of Ill-posed Problems (Washington, DC: Halsted Press)