|Table of Contents|

Simplified Conductivity Reconstruction Algorithm Based on HilbertTransform of Magnetic Induced Boundary Vibration(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年03期
Page:
94-
Research Field:
·物理学·
Publishing date:

Info

Title:
Simplified Conductivity Reconstruction Algorithm Based on HilbertTransform of Magnetic Induced Boundary Vibration
Author(s):
Tao Jin; Guo Gepu
School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China
Keywords:
magnetic induced boundary vibration; Hilbert transform; transducer directivity; conductivity reconstruction
PACS:
O421+.2
DOI:
10.3969/j.issn.1001-4616.2017.03.014
Abstract:
As a new multi-physics imaging method possessing the advantages of electrical impedance tomography and sonography,magnetic induced acoustic imaging is demonstrated to have the capability of electrical impedance contrast imaging for tissues. In this study,the normal pressure of magnetic induced boundary vibration is retrieved by the derivative calculation from the detected acoustic pressure with a strong directional transducer to enhance the detection accuracy of acoustic transmission.Then,by decomposing Green function in three-dimensional free space,an electrical conductivity reconstruction algorithm based on Hilbert transform of the acoustic pressure of magnetic induced boundary vibration is derived with clear physical meanings of acoustic pressures and the corresponding derivatives.Lastly,a cylindrical scanning system is established to perform numerical simulations for magnetic induced vibration and the acoustic waveforms collected by an experimental transducer for a 2-layer eccentric cylindrical tissue model. By applying Hilbert transform to the collected waveforms for cluster envelope localization and vibration polarity identification,the time dependent pressure distributions of magnetic induced boundary vibrations are restored for further image reconstruction. The reconstructed image of the scanned layer shows good agreement with the cross-sectional conductivity distribution of the model.Not only the boundaries of the model in terms of shape and size,but also precise conductivity distributions inside the conductive media are reconstructed. Therefore,the proposed simplified conductivity reconstruction algorithm,based on Hilbert transform of the normal pressure of magnetic induced boundary vibration,provides a new method for the practical application of magnetic induced acoustic imaging in diagnostic analysis for biological tissues.

References:

[1] XU Y,HE B. Magnetoacoustic tomography with magnetic induction[J]. Phys Med Biol,2005,50(21):5 175-5 187.
[2]METHERALL P,BARBER D C,SMALLWOOD R H,et al. Three-dimensional electrical impedance tomography[J]. Nature,1996,380(6 574):509-512.
[3]PAULSON K,LIONHEART W,PIDCOCK M. Optimal experiments in electrical impedance tomography[J]. IEEE Trans Med Imag,1993,12(12):681-686.
[4]HARTOV A,LEPIVERT P,SONI N,et al. Using multiple-electrode impedance measurements to monitor cryosurgery[J]. Med Phys,2002,29(12):2 806-2 814.
[5]WELLS P N T. Ultrasound imaging[J]. Phys Med Biol,2006,51(13):R83-98.
[6]OELZE M L,ZACHARY J F. Examination of cancer in mouse models using high-frequency quantitative ultrasound[J]. Ultrasound Med Biol,2006,32(11):1 639-1 648.
[7]LI X,XU Y,HE B. Magnetoacoustic tomography with magnetic induction for imaging electrical impedance of biological tissue[J]. J Appl Phys,2006,99(6):066112.
[8]MARIAPPAN L,HU G,HE B. Magnetoacoustic tomography with magnetic induction for high-resolution bioimepedance imaging through vector source reconstruction under the static field of MRI magnet[J]. Med Phys,2014,41(2):131-134.
[9]XIA R,LI X,HE B. Magnetoacoustic tomographic imaging of electrical impedance with magnetic induction[J]. Appl Phys Lett,2007,91(8):083903.
[10]BRINKER K,ROTH B J. The effect of electrical anisotropy during magnetoacoustic tomography with magnetic induction[J]. IEEE Trans Biomed Eng,2008,55(5):1 637-1 639.
[11]HU G,HE B. Magnetoacoustic imaging of electrical conductivity of biological tissues at a spatial resolution better than 2 mm[J]. Plos One,2011,6(8):e23421.
[12]SUN X D,ZHOU Y Q,MA Q Y,et al. Radiation theory comparison for magnetoacoustic tomography with magnetic induction(MAT-MI)[J]. Sci Bull,2014,59(26):3 246-3 254.
[13]GUO L,LIU G,YANG Y. Difference frequency magnetoacoustic tomography without static magnetic field[J]. Appl Phys Exp,2015,8(8):086601.
[14]LI Y,MA Q,ZHANG D,et al. Acoustic dipole radiation model for magnetoacoustic tomography with magnetic induction[J]. Chin Phys B,2011,20(8):084302.
[15]LI Y,LIU Z,MA Q,et al. Two-dimensional Lorentz force image reconstruction for magnetoacoustic tomography with magnetic induction[J]. Chin Phys Lett,2010,27(8):084302.
[16]LU M,LIU X,SHI Y,et al. Propagation of shear waves generated by acoustic radiation force in nondissipative inhomogeneous media[J]. Chin Phys Lett,2012,29(1):014301.
[17]MA Q,HE B. Magnetoacoustic tomography with magnetic induction:a rigorous theory[J]. IEEE Trans Biomed Eng,2008,55(2):813-816.
[18]SUN X,ZHANG F,MA Q,et al. Acoustic dipole radiation based conductivity image reconstruction for magnetoacoustic tomography with magnetic induction[J]. Appl Phys Lett,2012,100(2):024105.
[19]MARIAPPAN L,HE B. Magnetoacoustic tomography with magnetic induction:bioimepedance reconstruction through vector source imaging[J]. IEEE Trans Med Imag,2013,32(3):619-627.
[20]GUO L,LIU G,XIA H. Magneto-acousto-electrical tomography with magnetic induction for conductivity reconstruction[J]. IEEE Trans Biomed Eng,2015,62(9):2 114-2 124.
[21]YU K,SHAO Q,ASHKENAZI S,et al. In vivo electrical conductivity contrast imaging in a mouse model of cancer using high-frequency magnetoacoustic tomography with magnetic induction(hfMAT-MI)[J]. IEEE Trans Med Imag,2016,35(10):2 301-2 311.
[22]ZHANG W,MA R,ZHANG S,et al. Image reconstruction in magnetoacoustic tomography with magnetic induction(MAT-MI)with variable sound speeds[J]. IEEE Trans Biomed Eng,2016,63(12):2 585-2 594.
[23]MARIAPPAN L,SHAO Q,JIANG C,et al. Magnetoacoustic tomography with short pulsed magnetic field for in-vivo imaging of magnetic iron oxide nanoparticles[J]. Nanomed Nanotech Biol Med,2015,12(3):689-699.
[24]ZHOU Y,WANG J,SUN X,et al. Transducer selection and application in magnetoacoustic tomography with magnetic induction[J]. J Appl Phys,2016,119(9):094903.
[25]程建春. 声学原理[M]. 北京:科学出版社,2012:96-246.
[26]SUN X,FANG D,ZHANG D,et al. Acoustic dipole radiation based electrical impedance contrast imaging approach of magnetoacoustic tomography with magnetic induction[J]. Med Phys,2013,40(5):052902.
[27]XU M,WANG L. Time-domain reconstruction algorithms and numerical simulations for thermoacoustic tomography in various geometries[J]. IEEE Trans Biomed Eng,2003,50(9):1 086-1 099.
[28]MORSE P,FESHBACH H. Methods of theoretical physics[M]. New York:McGraw-Hill,1953:762-814.
[29]ARFKEN G,WEBER H. Mathematical methods for physicists[M]. San Diego:Academic Press,1995:268-356.
[30]WANG J,ZHOU Y,SUN X,et al. Acoustic source analysis of magnetoacoustic tomography with magnetic induction for conductivity gradual-varying tissues[J]. IEEE Trans Biomed Eng,2016,63(4)758-764.
[31]沈宜昕,郭各朴,孙晓冬,等. 换能器指向性对磁感应磁声成像伪影的影响[J]. 南京师范大学学报(工程技术版),2016,16(4):1-7.
[32]LOUPAS T,PYE S D,MCDICKENM W N. Deconvolution in medical ultrasonics:practical considerations[J]. Phys Med Biol,1989,34(11):1 691-1 700.
[33]TAO Y,WANG M,XIA W. Semiconductor laser self-mixing micro-vibration measuring technology based on Hilbert transform[J]. Opt Comm,2016,368:12-19.

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Last Update: 2017-09-30