Spatial resolution in photoacoustic tomography: Effects of detector size and detector bandwidth

Inverse Problems

Volumn 26, Issue 12, 2010, Pages

  Haltmeier, Markus ^a   Zangerl, Gerhard ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

DETECTOR SIZE; FINITE BANDWIDTH; HIGH SPATIAL RESOLUTION; LINE DETECTORS; PHOTOACOUSTIC TOMOGRAPHY; POINT DETECTORS; QUANTITATIVE ANALYSIS; SPATIAL RESOLUTION; THERMO-ACOUSTIC TOMOGRAPHIES; TOMOGRAPHIC IMAGING; ULTRASOUND DETECTION;

IMAGE RESOLUTION; PHOTOACOUSTIC EFFECT; TOMOGRAPHY; ULTRASONIC APPLICATIONS;

DETECTORS;

EID: 78649778277     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/12/125002     Document Type: Conference Paper

References (45)

1. Agranovsky M L and Kuchment P 2007 Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed Inverse Problems 23 2089-102
2. Agranovsky M L and Quinto E T 1996 Injectivity sets for the Radon transform over circles and complete systems of radial functions J. Funct. Anal. 139 383-414
3. Ambartsoumian G and Kuchment P 2005 On the injectivity of the circular Radon transform Inverse Problems 21 473-85
4. Anastasio M A, Zhang D, Modgil J and Riviere P L La 2007 Application of inverse source concepts to photoacoustic tomography Inverse Problems 23 S21-35
5. Burgholzer P, Bauer-Marschallinger J, Grün H, Haltmeier M and Paltauf G 2007 Temporal back-projection algorithms for photoacoustic tomography with integrating line detectors Inverse Problems 23 S65-80 (Pubitemid 350212325)
6. Burgholzer P, Hofer C, Paltauf G, Haltmeier M and Scherzer O 2005 Thermoacoustic tomography with integrating area and line detectors IEEE Trans. Ultrason., Ferroeletr., Freq. Control 52 1577-83 (Pubitemid 41560468)
7. Burgholzer P, Matt G J, Haltmeier M and Paltauf G 2007 Exact and approximate imaging methods for photoacoustic tomography using an arbitrary detection surface Phys. Rev. E 75 046706
8. Clason C and Klibanov M 2007 The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium SIAM J. Sci. Comput. 30 1-23
9. Esenaliev R O, Larina I V, Larin K V, Deyo D J, Motamedi M and Prough D S 2002 Optoacoustic technique for noninvasive monitoring of blood oxygenation: a feasibility study App. Opt. 41 4722-31 (Pubitemid 34879000)
10. Finch D, Haltmeier M and Rakesh 2007 Inversion of spherical means and the wave equation in even dimensions SIAM J. Appl. Math. 68 392-412
11. Finch D, Patch S and Rakesh 2004 Determining a function from its mean values over a family of spheres SIAM J. Math. Anal. 35 1213-40
12. Gorenflo R and Vessella S 1991 Abel Integral Equations (Lecture Notes in Mathematics vol 1461) (Berlin: Springer) (Analysis and applications)
13. Haltmeier M 2009 Frequency domain reconstruction for photo- and thermoacoustic tomography with line detectors Math. Models Methods Appl. Sci. 19 283-306
14. Haltmeier M, Scherzer O, Burgholzer P, Nuster R and Paltauf G 2007 Thermoacoustic tomography and the circular Radon transform: exact inversion formula Math. Models Methods Appl. Sci. 17 635-55
15. Haltmeier M, Scherzer O and Zangerl G 2009 Influence of detector bandwidth and detector size to the resolution of photoacoustic tomagraphy Proc. MATHMOD Vienna 09. 6th Vienna Conf. Math. Modelling (11-13 February 2009, Vienna University of Technology), (Argesim Report no 35) ed F Breitenecker and I Troch pp 1736-44
16. Haltmeier M, Schuster T and ScherzerO2005 Filtered backprojection for thermoacoustic computed tomography in spherical geometry Math. Methods Appl. Sci. 28 1919-37
17. Helgason S 1999 The Radon Transform (Progress in Mathematics vol 5) 2nd edn (Boston: Birkhäuser)
18. Hristova Y 2009 Time reversal in and thermoacoustic tomography-an error estimate Inverse Problems 25 055008
19. Hristova Y, Kuchment P and Nguyen L 2008 Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media Inverse Problems 24 055006
20. John F 1982 PartialDifferential Equations (Applied Mathematical Sciences vol 1) 4th edn (NewYork: Springer)
21. Kruger R A, Kiser W L, Reinecke D R, Kruger G A and Miller K D 2003 Thermoacoustic molecular imaging of small animals Mol. Imaging 2 113-23
22. Kruger R A, Lui P, Fang Y R and Appledorn R C 1995 Photoacoustic ultrasound (PAUS)-reconstruction tomography Med. Phys. 22 1605-9
23. Kuchment P and Kunyansky L A 2008 Mathematics of thermoacoustic and photoacoustic tomography Eur. J. Appl. Math. 19 191-224
24. Kunyansky L A 2007 Explicit inversion formulae for the spherical mean Radon transform Inverse Problems 23 373-83
25. Kunyansky L A 2007 A series solution and a fast algorithm for the inversion of the spherical mean radon transform Inverse Problems 23 S11-20
26. Louis A K and Quinto E T 2000 Local tomographic methods in sonar Surveys on Solution Methods for Inverse Problems (Vienna: Springer) pp 147-54
27. Manohar S, Kharine A, van Hespen J C G, Steenbergen Wand van Leeuwen T G 2005 The twente photoacoustic mammoscope: system overview and performance Phys. Med. Biol. 50 2543-57
28. Natterer F 2001 The Mathematics of Computerized Tomography (Classics in Applied Mathematics vol 32) (Philadelphia: SIAM)
29. Nguyen L V 2009 A family of inversion formulas for thermoacoustic tomography Inverse Probl. Imaging 3 649-75
30. Nuster R, Holotta M, Kremser C, Grossauer H, Burgholzer P and Paltauf G 2010 Photoacoustic microtomography using interferometric detection J. Biomed. Opt. 15 021307
31. Palamodov V P 2007 Remarks on the general Funk-Radon transform and thermoacoustic tomography arXiv math/0701204v1 [math.AP]
32. PaltaufG,NusterRand Burgholzer P 2009 Characterization of integrating ultrasound detectors for photoacoustic tomography J. Appl. Phys. 105 102026
33. Paltauf G, Nuster R, Haltmeier M and Burgholzer P 2007 Experimental evaluation of reconstruction algorithms for limited view photoacoustic tomography with line detectors Inverse Problems 23 S81-94
34. Paltauf G, Nuster R, Haltmeier M and Burgholzer P 2007 Photoacoustic tomography using a Mach-Zehnder interferometer as an acoustic line detector App. Opt. 46 3352-8 (Pubitemid 47146651)
35. Paltauf G, Nuster R, Passler K, Haltmeier M and Burgholzer P 2008 Optimizing image resolution in threedimensional photoacoustic tomography with line detectors Photons Plus Ultrasound: Imaging and Sensing 2008: The 9th Conference on Biomedical Thermoacoustics, Optoacoustics, and Acousto-optics (Proc. SPIE vol 6856) ed A Oraevsky and L V Wang, 685621
36. Scherzer O, Grasmair M, Grossauer H, Haltmeier M and Lenzen F 2009 Variational Methods in Imaging (Applied Mathematical Sciences vol 167) (New York: Springer)
37. Stefanov P and Uhlmann G 2009 Thermoacoustic tomography with variable sound speed Inverse Problems 25 075011
38. Wang L V 2008 Prospects of photoacoustic tomography Med. Phys. 35 5758-67
39. Wang L V 2009 Multiscale photoacoustic microscopy and computed tomography Nature Photoacoust. 3 503-9
40. Wang X D, Pang G, Ku Y J, Xie X Y, Stoica G and Wang L V 2003 Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain Nature Biotechnol. 21 803-6
41. Xu M andWang L V 2003 Analytic explanation of spatial resolution related to bandwidth and detector aperture size in thermoacoustic or photoacoustic reconstruction Phys. Rev. E 67 056605
42. Xu M and Wang L V 2005 Universal back-projection algorithm for photoacoustic computed tomography Phys. Rev. E 71 016706
43. Xu M and Wang L V 2006 Photoacoustic imaging in biomedicine Rev. Sci. Instrum. 77 041101
44. XuMandWang L V 2009 Analysis of Spatial Resolution in Photoacoustic Tomography (Boca Raton, FL: CRC Press) ed L V Wang chapter 5 Photoacoustic Imaging and Spectroscopy pp 47-60
45. Xu Y, Wang L V, Ambartsoumian G and Kuchment P 2004 Reconstructions in limited-view thermoacoustic tomography Med. Phys. 31 724-33