Interior tomography in x-ray differential phase contrast CT imaging

Physics in Medicine and Biology

Volumn 57, Issue 9, 2012, Pages

  Lauzier, Pascal Thériault ^a   Qi, Zhihua ^a   Zambelli, Joseph ^a   Bevins, Nicholas ^a   Chen, Guang Hong ^a,b  

^a UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTED TOMOGRAPHY; CONTRAST MECHANISM; CT IMAGING; CURRENT DATA; DATA SETS; DATA TRUNCATION; DIFFERENTIAL PHASE CONTRAST; FIELD OF VIEWS; IMAGE ARTIFACTS; INTERIOR TOMOGRAPHY; LARGE OBJECTS; ON-ELECTRON DENSITY; PHANTOM EXPERIMENTAL DATA; PHYSICAL CONDITIONS; PRIORI INFORMATION; PROJECTION ONTO CONVEX SETS; RECONSTRUCTED IMAGE; ROOT MEAN SQUARE ERRORS; SMALL REGION; TRUNCATED PROJECTIONS; WAVE PROPERTIES; XRAY IMAGING;

ALGORITHMS; MEAN SQUARE ERROR; X RAY TUBES;

COMPUTERIZED TOMOGRAPHY;

ABSORPTION; ALGORITHM; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; THEORETICAL MODEL;

ABSORPTION; ALGORITHMS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; PHANTOMS, IMAGING; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84859606536     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/57/9/N117     Document Type: Article

References (48)

1. Anastasio M and Pan X 2007 Region-of-interest imaging in differential phase-contrast tomography Opt. Lett. 32 31679 (Pubitemid 351328466)
2. Bech M, Jensen T, Feidenhans'l R, Bunk O, David C and Pfeiffer F 2009 Soft-tissue phase-contrast tomography with an x-ray tube source Phys. Med. Biol. 54 274753
3. Bevins N, Zambelli J, Li K, Qi Z and Chen G 2012 Multicontrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping Med. Phys. 39 424
4. Bevins N, Zambelli J, Qi Z and Chen G 2010 X-ray dark-field computed tomography using a grating interferometer setup Proc. SPIE 7622 76220P
5. Born M and Wolf E 1980 Principles of Optics 6th edn (Oxford: Pergamon)
6. Chen G, Bevins N, Zambelli J and Qi Z 2010a Small-angle scattering computed tomography (SAS-CT) using a Talbot-Lau interferometer and a rotating anode x-ray tube: theory and experiments Opt. Express 18 1296070
7. Chen G and Qi Z 2008 Image reconstruction for fan-beam differential phase contrast computed tomography Phys. Med. Biol. 53 101525 (Pubitemid 351238120)
8. Chen G, Zambelli J, Bevins N, Qi Z and Li K 2010b X-ray phase sensitive imaging methods: basic physical principles and potential medical applications Curr. Med. Imaging Rev. 6 909
9. Chen G, Zambelli J, Li K, Bevins N and Qi Z 2011 Scaling law for noise variance and spatial resolution in differential phase contrast computed tomography Med. Phys. 38 584
10. Clackdoyle R and Noo F 2004 A large class of inversion formulae for the 2D Radon transform of functions of compact support Inverse Problems 20 128191
11. Combettes P 1993 The foundations of set theoretic estimation Proc. IEEE 81 182208
12. Courdurier M, Noo F, Defrise M and Kudo H 2008 Solving the interior problem of computed tomography using a priori knowledge Inverse Problems 24 065001
13. David C, Bruder J, Rohbeck T, Grünzweig C, Kottler C, Diaz A, Bunk O and Pfeiffer F 2007 Fabrication of diffraction gratings for hard x-ray phase contrast imaging Microelectron. Eng. 84 11727 (Pubitemid 46678358)
14. Defrise M, Noo F, Clackdoyle R and Kudo H 2006 Truncated Hilbert transform and image reconstruction from limited tomographic data Inverse Problems 22 103753 (Pubitemid 43814744)
15. Herzen J, Donath T, Pfeiffer F, Bunk O, Padeste C, Beckmann F, Schreyer A and David C 2009 Quantitative phase-contrast tomography of a liquid phantom using a conventional x-ray tube source Opt. Express 17 100108
16. Köhler T and Noo F 2009 Comment on region-of-interest tomography for grating-based x-ray differential phase-contrast imaging Phys. Rev. Lett. 102 39801
17. Kudo H, Courdurier M, Noo F and Defrise M 2008 Tiny a priori knowledge solves the interior problem in computed tomography Phys. Med. Biol. 53 220731 (Pubitemid 351570907)
18. Leng S, Zhuang T, Nett B and Chen G 2005 Exact fan-beam image reconstruction algorithm Phys. Med. Biol. 50 180520
19. Mikhlin S 1957 Integral Equations (London: Pergamon)
20. Momose A 2003 Phase-sensitive imaging and phase tomography using x-ray interferometers Opt. Express 11 230314
21. Momose A, Takeda T and Itai Y 2000 Blood vessels: depiction at phase-contrast x-ray imaging without contrast agents in the mouse and ratfeasibility study Radiology 217 593
22. Momose A, Takeda T, Itai Y and Hirano K 1996 Phase-contrast x-ray computed tomography for observing biological soft tissues Nature Med. 2 4735 (Pubitemid 26191922)
23. Natterer F 2001 The Mathematics of Computerized Tomography (Philadelphia, PA: SIAM)
24. Noo F, Clackdoyle R and Pack J 2004 A two-step Hilbert transform method for 2D image reconstruction Phys. Med. Biol. 49 390323 (Pubitemid 39242984)
25. Parker D 1982 Optimal short scan convolution reconstruction for fan beam CT Med. Phys. 9 254
26. Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E F, Brönnimann C, Grünzweig C and David C 2008 Hard-x-ray dark-field imaging using a grating interferometer Nature Mater. 7 1347 (Pubitemid 351161343)
27. Pfeiffer F, Bunk O, David C, Bech M, Le Duc G, Bravin A and Cloetens P 2007 High-resolution brain tumor visualization using three-dimensional x-ray phase contrast tomography Phys. Med. Biol. 52 692330 (Pubitemid 350150622)
28. Pfeiffer F, Bunk O, Kottler C and David C 2007a Tomographic reconstruction of three-dimensional objects from hard x-ray differential phase contrast projection images Nucl. Instrum. Methods Phys. Res. A 580 9258 (Pubitemid 47379915)
29. Pfeiffer F, David C, Bunk O, Donath T, Bech M, Le Duc G, Bravin A and Cloetens P 2008 Region-of-interest tomography for grating-based x-ray differential phase-contrast imaging Phys. Rev. Lett. 101 168101
30. Pfeiffer F, Kottler C, Bunk O and David C 2007b Hard x-ray phase tomography with low-brilliance sources Phys. Rev. Lett. 98 108105
31. Pfeiffer F, Weitkamp T, Bunk O and David C 2006 Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources Nature Phys. 2 258
32. Qi Z and Chen G 2007 A local region of interest image reconstruction for fan-beam DPC-CT Phys. Med. Biol. 52 N41723
33. Qi Z, Zambelli J, Bevins N and Chen G H 2010a A novel quantitative imaging technique for material differentiation based on differential phase contrast CT Proc. SPIE 7622 76220O
34. Qi Z, Zambelli J, Bevins N and Chen G-H 2010b Quantitative imaging of electron density and effective atomic number using phase contrast CT Phys. Med. Biol. 55 2669
35. Stark H and Yang Y 1998 Vector Space Projections (New York: Wiley)
36. Strobl M, Grünszweig C, Hilger A, Manke I, Kardjilov N, David C and Pfeiffer F 2008 Neutron dark-field tomography Phys. Rev. Lett. 101 123902
37. Takeda T, Momose A, Hirano K, Haraoka S, Watanabe T and Itai Y 2000 Human carcinoma: early experience with phase-contrast x-ray CT with synchrotron radiationcomparative specimen study with optical microscopy Radiology 214 298301 (Pubitemid 30019908)
38. Tricomi F 1985 Integral Equations (New York: Dover)
39. Weitkamp T, Diaz A, David C, Pfeiffer F, Stampanoni M, Cloetens P and Ziegler E 1999 X-ray phase imaging with a grating interferometer Phys. Lett. 75 29124
40. Ye Y, Yu H, Wei Y and Wang G 2007 A general local reconstruction approach based on a truncated Hilbert transform Int. J. Biomed. Imaging 2007 8
41. Youla D and Webb H 1982 Image restoration by the method of convex projections: part 1. Theory IEEE Trans. Med. Imaging 1 81
42. Yu H and Wang G 2009 Compressed sensing based interior tomography Phys. Med. Biol. 54 2791805
43. Yu H, Yang J, Jiang M and Wang G 2009 Supplemental analysis on compressed sensing based interior tomography Phys. Med. Biol. 54 N42532
44. Zambelli J 2011 Design and characterization of a phase contrast x-ray CT system PhD Thesis The University of Wisconsin-Madison
45. Zambelli J, Bevins N, Qi Z and Chen G 2010a Measurement of contrast-to-noise ratio for differential phase contrast CT Proc. SPIE 7622 76224C
46. Zambelli J, Bevins N, Qi Z and Chen G 2010b Radiation dose efficiency comparison between differential phase contrast CT and conventional absorption CT Med. Phys. 37 2473
47. Zhuang T, Leng S, Nett B and Chen G 2004 Fan-beam and cone-beam image reconstruction via filtering the backprojection image Phys. Med. Biol. 49 5489503
48. Zou Y and Pan X 2004 Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT Phys. Med. Biol. 49 94159 (Pubitemid 38401110)