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Volumn , Issue , 2010, Pages 375-408

A review of the mathematical and computational foundations of biomechanical imaging

Author keywords

Biomechanical Imaging; Computational Methods; Elasticity Imaging; Inverse Problems

Indexed keywords


EID: 84889954249     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-90-481-3575-2_13     Document Type: Chapter
Times cited : (35)

References (100)
  • 2
    • 0025806883 scopus 로고
    • Elastography -A quantitative method for imaging the elasticity of biological tissues
    • Ophir, J., Cespedes, I., Ponnekanti, H., Yazdi, Y., Li, X.: Elastography -A Quantitative Method for Imaging the Elasticity of Biological Tissues. Ultrasonic Imaging 13:111-134 (1991)
    • (1991) Ultrasonic Imaging , vol.13 , pp. 111-134
    • Ophir, J.1    Cespedes, I.2    Ponnekanti, H.3    Yazdi, Y.4    Li, X.5
  • 3
    • 0027173365 scopus 로고
    • Mechanobiologic influences in long bone growth
    • Van der Meulen, M.C.H., Beaupré, G.S., Carter, D.R.: Mechanobiologic influences in long bone growth. Bone 14:635-642 (1993)
    • (1993) Bone , vol.14 , pp. 635-642
    • Van Der Meulen, M.C.H.1    Beaupré, G.S.2    Carter, D.R.3
  • 4
    • 0003474880 scopus 로고
    • Maquet, P. and Furlong R., translators Springer Berlin
    • Wolff, J.: The Law of Bone Remodeling. Maquet, P. and Furlong R., translators, Springer, Berlin (1986)
    • (1986) The Law of Bone Remodeling
    • Wolff, J.1
  • 5
    • 0003488383 scopus 로고    scopus 로고
    • Wood the internal optimization of trees
    • In: Timell, T.E. (eds.) Springer, New York (1995
    • Mattheck C., Kubler, H.: Wood-the internal optimization of trees. In: Timell, T.E. (eds.) Springer Series in Wood Science. Springer, New York (1995)
    • Springer Series in Wood Science
    • Mattheck, C.1    Kubler, H.2
  • 8
    • 0012024334 scopus 로고
    • Ultrasonic remote palpation (urp): Use of shear elastic modulus to differentiate pathology
    • Hill, C.R., Tristam, M., Bamber, J.C., et al. Ultrasonic remote palpation (URP): Use of shear elastic modulus to differentiate pathology. J. Ultrasound. Med. 7(Suppl.):S:129 (1988)
    • (1988) J. Ultrasound. Med. , vol.7 , Issue.SUPPL..
    • Hill, C.R.1    Tristam, M.2    Bamber, J.C.3
  • 10
    • 0034857903 scopus 로고    scopus 로고
    • Magnetic resonance elastography using 3d gradient echo measurements of steady-state motion
    • Weaver, J.B., Van Houten, E.E.W.,Miga, M.I., Kennedy, F.E., Paulsen, K.D.: Magnetic resonance elastography using 3D gradient echo measurements of steady-state motion. Med. Phys. 28(8):1620-1628 (2001)
    • (2001) Med. Phys. , vol.28 , Issue.8 , pp. 1620-1628
    • Weaver, J.B.1    Van Houten, E.E.W.2    Miga, M.I.3    Kennedy, F.E.4    Paulsen, K.D.5
  • 12
    • 0029239565 scopus 로고
    • Estimation of shear modulus distribution in soft tissue from strain distribution
    • Sumi, C., Suzuki, A., Nakayama, K.: Estimation of shear modulus distribution in soft tissue from strain distribution. IEEE Trans. Biomed. Eng. 42:193-202 (1995)
    • (1995) IEEE Trans. Biomed. Eng. , vol.42 , pp. 193-202
    • Sumi, C.1    Suzuki, A.2    Nakayama, K.3
  • 13
    • 0030828450 scopus 로고    scopus 로고
    • Ultrasonic measurement of differential displacement strain in a vascular model
    • Ryan, L.K., Foster, F.S.: Ultrasonic measurement of differential displacement strain in a vascular model. Ultrason. Imaging 19(1):19-38 (1997)
    • (1997) Ultrason. Imaging , vol.19 , Issue.1 , pp. 19-38
    • Ryan, L.K.1    Foster, F.S.2
  • 14
    • 0030825419 scopus 로고    scopus 로고
    • Intravascular elasticity imaging using ultrasound: Feasibility studies in phantoms
    • deKorte, C.L., Cespedes, E.I., vanderSteen, A.F.W., Lancee, C.T.: Intravascular Elasticity Imaging Using Ultrasound: Feasibility Studies in Phantoms. Ultrasound Med. Biol. 23(5):735-746 (1997)
    • (1997) Ultrasound Med. Biol. , vol.23 , Issue.5 , pp. 735-746
    • DeKorte, C.L.1    Cespedes, E.I.2    VanderSteen, A.F.W.3    Lancee, C.T.4
  • 15
    • 0032033822 scopus 로고    scopus 로고
    • Intravascular ultrasound elastography in human arteries: Initial experience in vitro
    • de Korte, C.L., van der Steen, A.F.W., Cespedes, E.I., Pasterkamp, G.: Intravascular ultrasound elastography in human arteries: Initial experience in vitro. Ultrasound Med. Biol. 24(3):401-408 (1998)
    • (1998) Ultrasound Med. Biol. , vol.24 , Issue.3 , pp. 401-408
    • De Korte, C.L.1    Van Der Steen, A.F.W.2    Cespedes, E.I.3    Pasterkamp, G.4
  • 18
    • 0034622623 scopus 로고    scopus 로고
    • Characterization of plaque components with intravascular ultrasound elastography in human femoral and coronary arteries in vitro
    • de Korte, C.L., Pasterkamp, G., van der Steen, A.F., Woutman, H.A., Bom, N.: Characterization of plaque components with intravascular ultrasound elastography in human femoral and coronary arteries in vitro. Circulation 102(6):617-23 (2000)
    • (2000) Circulation , vol.102 , Issue.6 , pp. 617-23
    • De Korte, C.L.1    Pasterkamp, G.2    Van Der Steen, A.F.3    Woutman, H.A.4    Bom, N.5
  • 19
    • 0343729905 scopus 로고    scopus 로고
    • Intraluminal ultrasonic palpation: Assessment of local and cross-sectional tissue stiffness
    • Cespedes, E.I., de Korte, C.L., van der Steen, A.F.W.: Intraluminal ultrasonic palpation: Assessment of local and cross-sectional tissue stiffness. Ultrasound Med. Biol. 26(3):385-396 (2000)
    • (2000) Ultrasound Med. Biol. , vol.26 , Issue.3 , pp. 385-396
    • Cespedes, E.I.1    De Korte, C.L.2    Van Der Steen, A.F.W.3
  • 22
    • 0032809552 scopus 로고    scopus 로고
    • Detection of high-intensity focused ultrasound liver lesions using dynamic elastometry
    • Shi, X.G., Martin, R.W., Rouseff, D., Vaezy, S., Crum, L.A.: Detection of high-intensity focused ultrasound liver lesions using dynamic elastometry. Ultrason. Imaging 21(2):107-126 (1999)
    • (1999) Ultrason. Imaging , vol.21 , Issue.2 , pp. 107-126
    • Shi, X.G.1    Martin, R.W.2    Rouseff, D.3    Vaezy, S.4    Crum, L.A.5
  • 23
    • 0032931389 scopus 로고    scopus 로고
    • The feasibility of elastographic visualization of hifu-induced thermal lesions in soft tissues
    • Kallel, F., Stafford, R.J.: Price, R.E., Righetti, R., Ophir, J., Hazle, J.D.: The feasibility of elastographic visualization of HIFU-induced thermal lesions in soft tissues. Ultrasound Med. Biol. 25(4):641-647 (1999)
    • (1999) Ultrasound Med. Biol. , vol.25 , Issue.4 , pp. 641-647
    • Kallel, F.1    Stafford, R.J.2    Price, R.E.3    Righetti, R.4    Ophir, J.5    Hazle, J.D.6
  • 25
    • 0035297602 scopus 로고    scopus 로고
    • Biomechanical 3-d finite element modeling of the human breast using mri data
    • Samani A., Bishop J., Yaffe M.J, Plewes D.B.: Biomechanical 3-D finite element modeling of the human breast using MRI Data. IEEE Trans. Med. Imaging 20(4):271-279 (2001)
    • (2001) IEEE Trans. Med. Imaging , vol.20 , Issue.4 , pp. 271-279
    • Samani, A.1    Bishop, J.2    Yaffe, M.J.3    Plewes, D.B.4
  • 27
    • 0035544622 scopus 로고    scopus 로고
    • Registration of 3-d intraoperative mr images of the brain using a finite-element biomechanical model
    • Ferrant, M., Nabavi, A.,Macq, B., Jolesz, F.A., Kikinis, R.,Warfield, S.K.: Registration Of 3-D intraoperative MR images of the brain using a finite-element biomechanical model. IEEE Trans. Med. Imaging 20(12):1384-1397 (2001)
    • (2001) IEEE Trans. Med. Imaging , vol.20 , Issue.12 , pp. 1384-1397
    • Ferrant, M.1    Nabavi, A.2    Macq, B.3    Jolesz, F.A.4    Kikinis, R.5    Warfield, S.K.6
  • 28
    • 0033201363 scopus 로고    scopus 로고
    • Biomechanical modeling of the human head for physically based, nonrigid image registration
    • Hagemann, A., Rohr, K., Stiehl, H.S., Spetzger, U. Gilsbach, J.M.: Biomechanical modeling of the human head for physically based, nonrigid image registration. IEEE Trans. Med. Imaging 18(10):875-884 (1999)
    • (1999) IEEE Trans. Med. Imaging , vol.18 , Issue.10 , pp. 875-884
    • Hagemann, A.1    Rohr, K.2    Stiehl, H.S.3    Spetzger, U.4    Gilsbach, J.M.5
  • 32
    • 0642366763 scopus 로고    scopus 로고
    • Selected methods for imaging elastic properties of biological tissues
    • Greenleaf, J.F., Fatemi, M., Insana, M.: Selected methods for imaging elastic properties of biological tissues. Ann. Rev. Biomed. Eng. 5(1):57-78 (2003)
    • (2003) Ann. Rev. Biomed. Eng. , vol.5 , Issue.1 , pp. 57-78
    • Greenleaf, J.F.1    Fatemi, M.2    Insana, M.3
  • 34
    • 0028559733 scopus 로고
    • Lesion detection in elastography versus echography: A quantitative analysis
    • Belaid, N., Cespedes, I., Thijssen, J., Ophir, J.: Lesion detection in elastography versus echography: A quantitative analysis. Ultrasound Med. Biol. 20:877-891 (1994)
    • (1994) Ultrasound Med. Biol. , vol.20 , pp. 877-891
    • Belaid, N.1    Cespedes, I.2    Thijssen, J.3    Ophir, J.4
  • 35
    • 0000479497 scopus 로고    scopus 로고
    • Ultrasound freehand elastography: Evaluation of diagnostic potential in clinical breast imaging
    • Fuechsel, F.G., Bush, N.L., Tranquart, F., Bamber, J.C., Cosgrove, D.O., Miller, N.R.: Ultrasound freehand elastography: Evaluation of diagnostic potential in clinical breast imaging. Radiology 221:188-198 (2001)
    • (2001) Radiology , vol.221 , pp. 188-198
    • Fuechsel, F.G.1    Bush, N.L.2    Tranquart, F.3    Bamber, J.C.4    Cosgrove, D.O.5    Miller, N.R.6
  • 38
    • 0034043280 scopus 로고    scopus 로고
    • Non-invasive quantitative reconstruction of tissue elasticity using an iterative forward approach
    • Fu, D., Levinson, S. F., Gracewski, S. M., Parker, K. J.: Non-invasive quantitative reconstruction of tissue elasticity using an iterative forward approach. Phys. Med. Biol. 45:1495-1510 (2000)
    • (2000) Phys. Med. Biol. , vol.45 , pp. 1495-1510
    • Fu, D.1    Levinson, S.F.2    Gracewski, S.M.3    Parker, K.J.4
  • 39
    • 0036771559 scopus 로고    scopus 로고
    • Ultrafast compound imaging for 2-d motion vector estimation: Application to transient elastography
    • Tanter, M., Bercoff, J., Sandrin, L., Fink, M.: Ultrafast compound imaging for 2-d motion vector estimation: Application to transient elastography. IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. 49(10):1363-1374 (2002)
    • (2002) IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. , vol.49 , Issue.10 , pp. 1363-1374
    • Tanter, M.1    Bercoff, J.2    Sandrin, L.3    Fink, M.4
  • 41
    • 0036525593 scopus 로고    scopus 로고
    • Acoustic radiation force impulse imaging of in vivo vastus medialis muscle under varying isometric load
    • Nightingale, K.R., Nightingale, R.W., Stutz, D., Trahey, G.E.: Acoustic radiation force impulse imaging of in vivo vastus medialis muscle under varying isometric load. Ultrason. Imaging 24(2):100-108 (2002)
    • (2002) Ultrason. Imaging , vol.24 , Issue.2 , pp. 100-108
    • Nightingale, K.R.1    Nightingale, R.W.2    Stutz, D.3    Trahey, G.E.4
  • 42
    • 0036218695 scopus 로고    scopus 로고
    • Acoustic radiation force impulse imaging: In vivo demonstration of clinical feasibility
    • Nightingale, K.R., Soo, M.S., Nightingale, R.W., Trahey, G.E.: Acoustic radiation force impulse imaging: In vivo demonstration of clinical feasibility. Ultrasound Med. Biol. 28(2):227-235 (2002)
    • (2002) Ultrasound Med. Biol. , vol.28 , Issue.2 , pp. 227-235
    • Nightingale, K.R.1    Soo, M.S.2    Nightingale, R.W.3    Trahey, G.E.4
  • 44
    • 0033862645 scopus 로고    scopus 로고
    • Two dimensional mr elastography with linear inversion reconstruction: Methodology and noise analysis
    • Bishop, J., Samani, A., Sciaretta, J., Plewes, D. B.: Two dimensional MR elastography with linear inversion reconstruction: Methodology and noise analysis. Phys. Med. Biol. 45:2081-2091 (2000)
    • (2000) Phys. Med. Biol. , vol.45 , pp. 2081-2091
    • Bishop, J.1    Samani, A.2    Sciaretta, J.3    Plewes, D.B.4
  • 46
    • 0034099679 scopus 로고    scopus 로고
    • Visualization and quantification of breast cancer biomechanical properties with magnetic resonance elastography
    • Plewes, D.B., Bishop, J., Samani, A., Sciaretta, J.: Visualization and quantification of breast cancer biomechanical properties with magnetic resonance elastography. Phys. Med. Biol. 45:1591-1610 (2000)
    • (2000) Phys. Med. Biol. , vol.45 , pp. 1591-1610
    • Plewes, D.B.1    Bishop, J.2    Samani, A.3    Sciaretta, J.4
  • 48
    • 0029654138 scopus 로고
    • Magnetic resonance elastography by direct visualization of propagating acoustic strain waves
    • Muthupillai, R., Lomas, D. J., Rossman, P. J., Greenleaf, J. F., Manduca, A., Ehman, R. L.: Magnetic resonance elastography by direct visualization of propagating acoustic strain waves. Science 269:1854-1857 (1995)
    • (1995) Science , vol.269 , pp. 1854-1857
    • Muthupillai, R.1    Lomas, D.J.2    Rossman, P.J.3    Greenleaf, J.F.4    Manduca, A.5    Ehman, R.L.6
  • 50
    • 1342329309 scopus 로고    scopus 로고
    • Estimation of complex-valued stiffness using acoustic waves measured with magnetic resonance. In: Imaging of complex media with acoustic and seismic waves
    • Oliphant, T.E., Ehman, R.L., Greenleaf, J.F.: Estimation of complex-valued stiffness using acoustic waves measured with magnetic resonance. In: Imaging of complex media with acoustic and seismic waves, Top. Appl. Phys. 84:277-294 (2002)
    • (2002) Top. Appl. Phys. , vol.84 , pp. 277-294
    • Oliphant, T.E.1    Ehman, R.L.2    Greenleaf, J.F.3
  • 52
    • 0035146230 scopus 로고    scopus 로고
    • Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation
    • Oliphant, T.E., Manduca, A., Ehman, R.L., Greenleaf, J.F.: Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation. Magn. Reson. Med 45(2):299-310 (2001)
    • (2001) Magn. Reson. Med , vol.45 , Issue.2 , pp. 299-310
    • Oliphant, T.E.1    Manduca, A.2    Ehman, R.L.3    Greenleaf, J.F.4
  • 57
    • 17044414054 scopus 로고    scopus 로고
    • Viscoelastic shear properties of in vivo breast lesions measured by mr elastography
    • Sinkus, R., Tanter, M., Xydeas, T., Catheline, S., Bercoff, J., Fink, M.: Viscoelastic shear properties of in vivo breast lesions measured by MR elastography. Magnet. Reson. Imaging 23(2):159-165 (2005)
    • (2005) Magnet. Reson. Imaging , vol.23 , Issue.2 , pp. 159-165
    • Sinkus, R.1    Tanter, M.2    Xydeas, T.3    Catheline, S.4    Bercoff, J.5    Fink, M.6
  • 58
    • 0036995742 scopus 로고    scopus 로고
    • Ultrafast imaging of beamformed shear waves induced by the acoustic radiation force. Application to transient elastography. Ultrasonics symposium 2002
    • Bercoff, J., Tanter, M., Chaffai, S., Fink, M.: Ultrafast imaging of beamformed shear waves induced by the acoustic radiation force. Application to transient elastography. Ultrasonics Symposium, 2002. Proceedings. 2002 IEEE, p. 2 (2002)
    • (2002) Proceedings. 2002 IEEE , pp. 2
    • Bercoff, J.1    Tanter, M.2    Chaffai, S.3    Fink, M.4
  • 59
    • 11144347615 scopus 로고    scopus 로고
    • Measurement of viscoelastic properties of homogeneous soft solid using transient elastography: An inverse problem approach
    • Catheline, S., Gennisson, J.-L., Delon, G., Fink, M., Sinkus, R., Abouelkaram, S., Culioli, J.: Measurement of viscoelastic properties of homogeneous soft solid using transient elastography: An inverse problem approach. J. Acoust. Soc. Am. 116:3734 (2004)
    • (2004) J. Acoust. Soc. Am. , vol.116 , pp. 3734
    • Catheline, S.1    Gennisson, J.-L.2    Delon, G.3    Fink, M.4    Sinkus, R.5    Abouelkaram, S.6    Culioli, J.7
  • 60
    • 0032478645 scopus 로고    scopus 로고
    • Ultrasound-stimulated vibro-acoustic spectrography
    • Fatemi, M., Greenleaf, J.F.: Ultrasound-Stimulated Vibro-Acoustic Spectrography. Science 280:82-85 (1998)
    • (1998) Science , vol.280 , pp. 82-85
    • Fatemi, M.1    Greenleaf, J.F.2
  • 61
    • 0033536065 scopus 로고    scopus 로고
    • Vibro-acoustography: An imaging modality based on ultrasoundstimulated acoustic emission
    • Fatemi, M., Greenleaf, J.F.: Vibro-acoustography: An imaging modality based on ultrasoundstimulated acoustic emission. Proc. Natl. Acad. Sci. USA 96:6603-6608 (1999)
    • (1999) Proc. Natl. Acad. Sci. USA , vol.96 , pp. 6603-6608
    • Fatemi, M.1    Greenleaf, J.F.2
  • 63
    • 0037150467 scopus 로고    scopus 로고
    • Quantitative elasticity imaging: What can and cannot be inferred from strain images
    • Barbone, P. E., Bamber, J.C.: Quantitative elasticity imaging: What can and cannot be inferred from strain images. Phys. Med. Biol. 47:2147-2164 (2002)
    • (2002) Phys. Med. Biol. , vol.47 , pp. 2147-2164
    • Barbone, P.E.1    Bamber, J.C.2
  • 64
    • 0028493913 scopus 로고
    • Forward and inverse problems in elasticity imaging of soft tissues
    • Raghavan, K.R., Yagle, A.E.: Forward and inverse problems in elasticity imaging of soft tissues. IEEE Trans. Nucl. Sci. 41:1639-1648, (1994)
    • (1994) IEEE Trans. Nucl. Sci. , vol.41 , pp. 1639-1648
    • Raghavan, K.R.1    Yagle, A.E.2
  • 65
    • 33846233340 scopus 로고    scopus 로고
    • Reconstructions of shear modulus, poisson's ratio, and density using approximate mean normal stress-# As unknown
    • Sumi, C.: Reconstructions of shear modulus, Poisson's ratio, and density using approximate mean normal stress-# as unknown. IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. 53(12):2416-34 (2006)
    • (2006) IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. , vol.53 , Issue.12 , pp. 2416-34
    • Sumi, C.1
  • 66
    • 0034043281 scopus 로고    scopus 로고
    • Evaluation of an iterative reconstruction method for quantitative elasticity
    • Doyley, M. M., Meaney, P. M., Bamber J.C.: Evaluation of an iterative reconstruction method for quantitative elasticity. Phys. Med. Biol. 45:1521-1540 (2000)
    • (2000) Phys. Med. Biol. , vol.45 , pp. 1521-1540
    • Doyley, M.M.1    Meaney, P.M.2    Bamber, J.C.3
  • 67
    • 0030173129 scopus 로고    scopus 로고
    • Tissue elasticity reconstruction using linear perturbation method
    • Kallel, F., Bertrand, M.: Tissue elasticity reconstruction using linear perturbation method. IEEE Trans. Med. Imaging 15(3):299-313 (1996)
    • (1996) IEEE Trans. Med. Imaging , vol.15 , Issue.3 , pp. 299-313
    • Kallel, F.1    Bertrand, M.2
  • 68
    • 3442884895 scopus 로고    scopus 로고
    • Evaluation of the adjoint equation based algorithm for elasticity imaging
    • Oberai, A.A., Gokhale, N.H., Doyley, M.M., Bamber, J.C.: Evaluation of the adjoint equation based algorithm for elasticity imaging. Phys, Med, Biol, 49(13):2955-2974 (2004)
    • (2004) Phys, Med, Biol , vol.49 , Issue.13 , pp. 2955-2974
    • Oberai, A.A.1    Gokhale, N.H.2    Doyley, M.M.3    Bamber, J.C.4
  • 69
    • 33746475165 scopus 로고    scopus 로고
    • Shear modulus reconstruction in dynamic elastography: Time harmonic case
    • Park, E., Maniatty, A.M.: Shear modulus reconstruction in dynamic elastography: Time harmonic case. Phys. Med. Biol. 51(15):3697-3721 (2006)
    • (2006) Phys. Med. Biol. , vol.51 , Issue.15 , pp. 3697-3721
    • Park, E.1    Maniatty, A.M.2
  • 70
    • 0346681402 scopus 로고    scopus 로고
    • Unique identifiability of elastic parameters from time dependent interior displacement measurement
    • McLaughlin, J. R., Yoon, J. R.: Unique identifiability of elastic parameters from time dependent interior displacement measurement. Inverse Probl. 20(1):25-45 (2004)
    • (2004) Inverse Probl. , vol.20 , Issue.1 , pp. 25-45
    • McLaughlin, J.R.1    Yoon, J.R.2
  • 71
    • 0347312118 scopus 로고    scopus 로고
    • Recovery of the lamé parameter in biological tissues
    • Ji, l., McLaughlin, J.: Recovery of the lamé parameter-in biological tissues. Inverse Probl. 20(1):1-24 (2004)
    • (2004) Inverse Probl. , vol.20 , Issue.1 , pp. 1-24
    • Ji, L.1    McLaughlin, J.2
  • 72
    • 0347577853 scopus 로고    scopus 로고
    • Interior elastodynamics inverse problems: Shear wave speed reconstruction in transient elastography
    • Ji, L., McLaughlin, J.R., Renzi, D., Yoon, J.-R.: Interior elastodynamics inverse problems: Shear wave speed reconstruction in transient elastography. Inverse Probl. 19:S1-S29 (2003)
    • (2003) Inverse Probl. , vol.19
    • Ji, L.1    McLaughlin, J.R.2    Renzi, D.3    Yoon, J.-R.4
  • 73
    • 36749087742 scopus 로고    scopus 로고
    • Adjoint weighted variational formulation for direct computational solution of an inverse heat conduction problem
    • Barbone, P.E., Oberai, A.A., Harari, I.: Adjoint weighted variational formulation for direct computational solution of an inverse heat conduction problem. Inverse Probl. 23:2325-2342 (2007)
    • (2007) Inverse Probl. , vol.23 , pp. 2325-2342
    • Barbone, P.E.1    Oberai, A.A.2    Harari, I.3
  • 74
    • 1342287230 scopus 로고    scopus 로고
    • Elastic modulus imaging: On the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions
    • Barbone, P.E., Gokhale, N.H.: Elastic modulus imaging: On the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions. Inverse Probl. 20:283-296 (2004)
    • (2004) Inverse Probl. , vol.20 , pp. 283-296
    • Barbone, P.E.1    Gokhale, N.H.2
  • 75
    • 34247470388 scopus 로고    scopus 로고
    • Elastic modulus imaging: Some exact solutions of the compressible elastography inverse problem
    • Barbone, P.E., Oberai, A.A.: Elastic modulus imaging: Some exact solutions of the compressible elastography inverse problem. Phys. Med. Biol. 52:1577-1593 (2007)
    • (2007) Phys. Med. Biol. , vol.52 , pp. 1577-1593
    • Barbone, P.E.1    Oberai, A.A.2
  • 77
    • 34347359477 scopus 로고    scopus 로고
    • Adjoint weighted equation for steady advection in a compressible fluid
    • Oberai, A.A., Barbone, P.E., Harari, I.: Adjoint weighted equation for steady advection in a compressible fluid. Int. J. Numer. Methods Fluids 54:683-693 (2007)
    • (2007) Int. J. Numer. Methods Fluids , vol.54 , pp. 683-693
    • Oberai, A.A.1    Barbone, P.E.2    Harari, I.3
  • 81
    • 19844370110 scopus 로고    scopus 로고
    • An iterative regularization method for total variation based image restoration
    • Osher, S., Burger, M., Goldfarb, D., Xu, J., Yin, W.: An iterative regularization method for total variation based image restoration. Multiscale Model. Simul. 4(2):460-489 (2005)
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.2 , pp. 460-489
    • Osher, S.1    Burger, M.2    Goldfarb, D.3    Xu, J.4    Yin, W.5
  • 83
    • 77958398767 scopus 로고
    • The convergence of a class of double-rank minimization algorithms. Ii. The new algorithm
    • Broyden, C. G.: The convergence of a class of double-rank minimization algorithms. ii. the new algorithm. J. Inst. Math. Appl. 6:76-90 (1970)
    • (1970) J. Inst. Math. Appl. , vol.6 , pp. 76-90
    • Broyden, C.G.1
  • 84
    • 0037390964 scopus 로고    scopus 로고
    • Solution of inverse problems in elasticity imaging using the adjoint method
    • Oberai, A.A., Gokhale, N.H., Feijoo, G.R.: Solution of inverse problems in elasticity imaging using the adjoint method. Inverse Probl. 19:297-313 (2003)
    • (2003) Inverse Probl. , vol.19 , pp. 297-313
    • Oberai, A.A.1    Gokhale, N.H.2    Feijoo, G.R.3
  • 88
    • 49749119161 scopus 로고    scopus 로고
    • Solution of the nonlinear elasticity imaging problem
    • Gokhale, N.H., Barbone, P.E., Oberai, A.A.: Solution of the nonlinear elasticity imaging problem. Inverse Probl. 24:045010 (2008)
    • (2008) Inverse Probl. , vol.24 , pp. 045010
    • Gokhale, N.H.1    Barbone, P.E.2    Oberai, A.A.3
  • 93
    • 0014698583 scopus 로고
    • Mechanical characterization of skin -Finite deformations
    • Veronda, D. R., Westman, R. A.: Mechanical characterization of skin -finite deformations. J. Biomech. 3(1):111-122 (1970)
    • (1970) J. Biomech. , vol.3 , Issue.1 , pp. 111-122
    • Veronda, D.R.1    Westman, R.A.2
  • 95
    • 0043246587 scopus 로고    scopus 로고
    • Measuring the elastic modulus of ex vivo small tissue samples
    • Samani, A., Bishop, J., Luginbuhl, C., Plewes, D.B.:Measuring the elastic modulus of ex vivo small tissue samples. Phys. Med. Biol. 48:2183-98 (2003)
    • (2003) Phys. Med. Biol. , vol.48 , pp. 2183-98
    • Samani, A.1    Bishop, J.2    Luginbuhl, C.3    Plewes, D.B.4
  • 96
    • 4644365744 scopus 로고    scopus 로고
    • A method to measure the hyperelastic parameters of ex vivo breast tissue samples
    • Samani, A., Plewes, D.B.: A method to measure the hyperelastic parameters of ex vivo breast tissue samples. Phys. Med. Biol. 49:4395-4405 (2004)
    • (2004) Phys. Med. Biol. , vol.49 , pp. 4395-4405
    • Samani, A.1    Plewes, D.B.2
  • 99
    • 0033356117 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
    • Klaas, O., Maniatty, A., Shephard, M.S.: A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation. Comput. Methods Appl. Mech. Eng. 180(1-2):65-79 (1999)
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.180 , Issue.1-2 , pp. 65-79
    • Klaas, O.1    Maniatty, A.2    Shephard, M.S.3
  • 100
    • 33645205282 scopus 로고    scopus 로고
    • Computational methods for inverse problems
    • Vogel, C. R.: Computational methods for inverse problems. SIAM (2002)
    • (2002) SIAM
    • Vogel, C.R.1


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