Abstract
Photoacoustic tomography (PAT), also known as thermoacoustic or optoacoustic tomography, is a rapidly emerging imaging technique that holds great promise for biomedical imaging. PAT is a hybrid imaging technique, and can be viewed either as an ultrasound mediated electromagnetic modality or an ultrasound modality that exploits electromagnetic-enhanced image contrast. In this chapter, we provide a review of the underlying imaging physics and contrast mechanisms in PAT. Additionally, the imaging models that relate the measured photoacoustic wavefields to the sought-after optical absorption distribution are described in their continuous and discrete forms. The basic principles of image reconstruction from discrete measurement data are presented, which includes a review of methods for modeling the measurement system response.
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References and Further Reading
Anastasio MA, Zhang J, Modgil D, La Riviere PJ (2007) Application of inverse source concepts to photoacoustic tomography. Inverse Prob 23(6):S21–S35
Anastasio MA, Zhang J, Sidky EY, Zou Y, Xia D, Pan X (2005) Feasibility of half-data image reconstruction in 3D reflectivity tomography with a spherical aperture. IEEE Trans Med Imaging 24:1100–1112
Anastasio MA, Zhang J, Pan X (2005) Image reconstruction in thermoacoustic tomography with compensation for acoustic heterogeneities. In: SPIE, vol 5750. SPIE, pp 298–304
Anastasio MA, Zhang J (2006) Image reconstruction in photoacoustic tomography with truncated cylindrical measurement apertures. In: Proceedings of the SPIE conference, vol 6086. p 36
Anastasio MA, Zhang J, Pan X (2005) Image reconstruction in thermoacoustic tomography with compensation for acoustic heterogeneties. In: Proceedings of the SPIE medical imaging conference, vol 5750. pp 298–304
Anastasio MA, Zhang J, Pan X, Zou Y, Keng G, Wang LV (2005) Half-time image reconstruction in thermoacoustic tomography. IEEE Trans Med Imaging 24:199–210
Anastasio MA, Zou Y, Pan X (2002) Reflectivity tomography using temporally truncated data. In: IEEE EMBS/BMES conference proceedings, vol 2. IEEE, pp 921–922
Axelsson O (1994) Iterative solution methods. Cambridge University Press, Cambridge
Barrett H, Myers K (2004) Foundations of image science. Wiley series in pure and applied optics. Wiley, Hoboken
Beard PC, Laufer JG, Cox B, Arridge SR (2009) Quantitative photoacoustic imaging: measurement of absolute chromophore concentrations for physiological and molecular imaging. In: Wang LV (ed) Photoacoustic imaging and spectroscopy. CRC Press, Boca Raton
Bertero M, Boccacci P (1998) Inverse problems in imaging. Institute of Physics Publishing, Bristol
Cheong W, Prahl S, Welch A (1990) A review of the optical properties of biological tissues. IEEE J Quantum Electron 26:2166–2185
Cox BT, Arridge SR, Kstli KP, Beard PC (2006) Two-dimensional quantitative photoacoustic image reconstruction of absorption distributions in scattering media by use of a simple iterative method. Appl Opt 45:1866–1875
Devaney AJ (1979) The inverse problem for random sources. J Math Phys 20:1687–1691
Devaney AJ (1983) Inverse source and scattering problems in ultrasonics. IEEE T Son Ultrason 30:355–364
Diebold GJ (2009) Photoacoustic monopole radiation: waves from objects with symmetry in one, two, and three dimension. In: Wang LV (ed) Photoacoustic imaging and spectroscopy. CRC Press, Boca Raton
Diebold GJ, Sun T, Khan MI (Dec 1991) Photoacoustic monopole radiation in one, two, and three dimensions. Phys Rev Lett 67(24):3384–3387
Diebold GJ, Westervelt PJ (1988) The photoacoustic effect generated by a spherical droplet in a fluid. J Acoust Soc Am 84(6):2245–2251
Ephrat P, Keenliside L, Seabrook A, Prato FS, Carson JJL (2008) Three-dimensional photoacoustic imaging by sparse-array detection and iterative image reconstruction. J Biomed Opt 13(5): 054052
Esenaliev RO, Karabutov AA, Oraevsky AA (1999) Sensitivity of laser opto-acoustic imaging in detection of small deeply embedded tumors. IEEE J Sel Top Quantum Electron 5:981–988
Fessler JA (1994) Penalized weighted least-squares reconstruction for positron emission tomography. IEEE Trans Med Imaging 13:290–300
Fessler JA, Booth SD (1999) Conjugate-gradient preconditioning methods for shiftvariant PET image reconstruction. IEEE Trans Image Process 8(5):688–699
Finch D, Haltmeier M, Rakesh (2007) Inversion of spherical means and the wave equation in even dimensions. SIAM J Appl Math 68(2): 392–412
Finch D, Patch S, Rakesh (2004) Determining a function from its mean values over a family of spheres. SIAM J Math Anal 35:1213–1240
Haltmeier M, Scherzer O, Burgholzer P, Paltauf G (2004) Thermoacoustic computed tomography with large planar receivers. Inverse Prob 20(5):1663–1673
Jin X, Wang LV (2006) Thermoacoustic tomography with correction for acoustic speed variations. Phys Med Biol 51(24):6437–6448
Joines W, Jirtle R, Rafal M, Schaeffer D (1980) Microwave power absorption differences between normal and malignant tissue. Radiat Oncol Biol Phys 6:681–687
Khokhlova TD, Pelivanov IM, Kozhushko VV, Zharinov AN, Solomatin VS, Karabutov AA (2007) Optoacoustic imaging of absorbing objects in a turbid medium: ultimate sensitivity and application to breast cancer diagnostics. Appl Opt 46(2):262–272
Köstli KP, Beard PC (2003) Two-dimensional photoacoustic imaging by use of fouriertransform image reconstruction and a detector with an anisotropic response. Appl Opt 42(10): 1899–1908
Köstli KP, Frenz M, Bebie H, Weber HP (2001) Temporal backward projection of optoacoustic pressure transients using Fourier transform methods. Phys Med Biol 46(7):1863–1872
Kruger R, Reinecke D, Kruger G (1999) Thermoacoustic computed tomography-technical considerations. Med Phys 26:1832–1837
Kruger RA, Kiser WL, Reinecke DR, Kruger GA, Miller KD (2003) Thermoacoustic optical molecular imaging of small animals. Mol Imaging 2:113–123
Kruger RA, Liu P, Fang R, Appledorn C (1995) Photoacoustic ultrasound (PAUS) reconstruction tomography. Med Phys 22:1605–1609
Ku G, Fornage BD, Jin X, Xu M, Hunt KK, Wang LV (2005) Thermoacoustic and photoacoustic tomography of thick biological tissues toward breast imaging. Technol Cancer Res Treat 4:559–566
Kuchment P, Kunyansky L (2008) Mathematics of thermoacoustic tomography. Eur J Appl Math 19:191–224
Kunyansky LA (2007) Explicit inversion formulae for the spherical mean radon transform. Inverse Prob 23:373–383
Langenberg KJ (1987) Basic methods of tomography and inverse problems. Adam Hilger, Philadelphia
Lewitt RM (1992) Alternatives to voxels for image representation in iterative reconstruction algorithms. Phys Med Biol 37(3):705–716
Li C, Pramanik M, Ku G, Wang LV (2008) Image distortion in thermoacoustic tomography caused by microwave diffraction. Phys Rev E Stat Nonlinear Soft Matter Phys 77(3):031923
Li C, Wang LV (2009) Photoacoustic tomography and sensing in biomedicine. Phys Med Biol 54(19):R59–R97
Maslov K, Wang LV (2008) Photoacoustic imaging of biological tissue with intensitymodulated continuous-wave laser. J Biomeded Opt 13(2):024006
Wernick MN, Aarsvold JN (2004) Emission tomography, the fundamentals of PET and SPECT. Elsevier, San Diego
Modgil D, Anastasio MA, Wang K, LaRivière PJ(2009) Image reconstruction in photoacoustic tomography with variable speed of sound using a higher order geometrical acoustics approximation. In: SPIE, vol 7177. p 71771A
Norton S, Linzer M (1981) Ultrasonic reflectivity imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical, and spherical apertures. IEEE Trans Biomed Eng 28: 202–220
Oraevsky AA, Jacques SL, Tittel FK (1997) Measurement of tissue optical properties by time-resolved detection of laser-induced transient stress. Appl Opt 36:402–415
Oraevsky AA, Karabutov AA (2000) Ultimate sensitivity of time-resolved optoacoustic detection. In: SPIE, vol 3916. pp 228–239
Oraevsky AA, Karabutov AA (2003) Optoacoustic tomography. In: Vo-Dinh T (ed) Biomedical photonics handbook. CRC Press, Boca Raton
Paltauf G, Nuster R, Burgholzer P (2009) Characterization of integrating ultrasound detectors for photoacoustic tomography. J Appl Phys 105(10):102026
Paltauf G, Schmidt-Kloiber H, Guss H (1996) Light distribution measurements in absorbing materials by optical detection of laser-induced stress waves. Appl Phys Lett 69(11): 1526–1528
Paltauf G, Viator J, Prahl S, Jacques S (2002) Iterative reconstruction algorithm for optoacoustic imaging. J Acoust Soc Am 112:1536–1544
Pan X, Zou Y, Anastasio MA (2003) Data redundany and reduced-scan reconstruction in reflectivity tomography. IEEE Trans Image Process 12:784–795
Patch SK (2004) Thermoacoustic tomography—consistency conditions and the partial scan problem. Phys Med Biol 49(11):2305–2315
Provost J, Lesage F (2009) The application of compressed sensing for photo-acoustic tomography. IEEE Trans Med Imaging 28:585–594
La Riviere PJ, Zhang J, Anastasio MA (2006) Image reconstruction in optoacoustic tomography for dispersive acoustic media. Opt Lett 31:781–783
Sushilov NV, Cobbold SC (Apr 2004) Frequency-domain wave equation and its timedomain solutions in attenuating media. J Acoust Soc Am 115(4):1431–1436
Tam AC (1986) Application of photo-acoustic sensing techniques. Rev Mod Phys 58:381–431
Wang LV (ed) (2009) Photoacoustic imaging and spectroscopy. CRC Press, Boca Raton
Wang LV, Wu H-I (2007) Biomedical optics, principles and imaging. Wiley, Hoboken
Wang LV, Zhao XM, Sun HT, Ku G (1999) Microwave-induced acoustic imaging of biological tissues. Rev Sci Instrum 70:3744–3748
Wang X, Xie X, Ku G, Wang LV, Stoica G (2006) Noninvasive imaging of hemoglobin concentration and oxygenation in the rat brain using high-resolution photoacoustic tomography. J Biomed Opt 11(2):024015
Wang Y, Xie X, Wang X, Ku G, Gill KL, ONeal DP, Stoica G, Wang LV (2004) Photoacoustic tomography of a nanoshell contrast agent in the in vivo rat brain. Nano Lett 4:1689–1692
Xu M, Wang LV (2002) Time-domain reconstruction for thermoacoustic tomography in a spherical geometry. IEEE Trans Med Imaging 21:814–822
Xu M, Wang LV (2003) Analytic explanation of spatial resolution related to bandwidth and detector aperture size in thermoacoustic or photoacoustic reconstruction. Phys Rev E 67: 056605
Xu M, Wang L (2005) Universal back-projection algorithm for photoacoustic computed tomography. Phys Rev E 71:016706
Xu M, Wang LV (2006) Biomedical photoacoustics. Rev Sci Instrum 77:041101
Xu Y, Feng D, Wang LV (2002) Exact frequency-domain reconstruction for thermoacoustic tomography i: planar geometry. IEEE Trans Med Imaging 21:823–828
Xu Y, Wang LV (2003) Effects of acoustic heterogeneity in breast thermoacoustic tomography. IEEE Trans Ultrason Ferroelectr Freq Control 50:1134–1146
Xu Y, Xu M, Wang LV (2002) Exact frequency-domain reconstruction for thermoacoustic tomography-ii: cylindrical geometry. IEEE Trans Med Imaging 21:829–833
Yuan Z, Jiang H (2006) Quantitative photoacoustic tomography: Recovery of optical absorption coefficient maps of heterogeneous media. Appl Phys Lett 88(23):231101
Zhang J, Anastasio MA, Pan X, Wang LV (2005) Weighted expectation maximization reconstruction algorithms for thermoacoustic tomography. IEEE Trans Med Imaging 24:817–820
Zou Y, Pan X, Anastasio MA (2002) Data truncation and the exterior reconstruction problem in reflection-mode tomography. In: IEEE nuclear science symposium conference record, vol 2. IEEE, pp 726–730
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Wang, K., Anastasio, M.A. (2011). Photoacoustic and Thermoacoustic Tomography: Image Formation Principles. In: Scherzer, O. (eds) Handbook of Mathematical Methods in Imaging. Springer, New York, NY. https://doi.org/10.1007/978-0-387-92920-0_18
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DOI: https://doi.org/10.1007/978-0-387-92920-0_18
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