메뉴 건너뛰기




Volumn 16, Issue 2, 2012, Pages 459-481

Feature-based interpolation of diffusion tensor fields and application to human cardiac DT-MRI

Author keywords

Diffusion tensor imaging; Diffusion tensor magnetic resonance imaging; Euler angle; Quaternion; Tensor interpolation

Indexed keywords

CHOLESKY; CO-ORDINATE SYSTEM; DIFFUSION TENSOR; DIFFUSION TENSOR IMAGING; DIFFUSION TENSOR MAGNETIC RESONANCE IMAGING; EIGENVALUES; EUCLIDEAN; EULER ANGLE; EULER ANGLES; FEATURE-BASED; FIBER CROSSINGS; FRACTIONAL ANISOTROPY; HUMAN HEART; INTERPOLATION SCHEMES; LOG-EUCLIDEAN; MEAN DIFFUSIVITY; MONOTONICITY; QUATERNION; TENSOR COMPONENTS; TENSOR FIELDS; TENSOR ORIENTATION;

EID: 84856218640     PISSN: 13618415     EISSN: 13618423     Source Type: Journal    
DOI: 10.1016/j.media.2011.11.003     Document Type: Article
Times cited : (37)

References (53)
  • 1
    • 0002648277 scopus 로고    scopus 로고
    • Reconstruction of vector and tensor fields from sampled discrete data
    • Aldroubi A., Basser P. Reconstruction of vector and tensor fields from sampled discrete data. Contemp. Math. 1999, 247:1-15.
    • (1999) Contemp. Math. , vol.247 , pp. 1-15
    • Aldroubi, A.1    Basser, P.2
  • 2
    • 84856234086 scopus 로고    scopus 로고
    • Principles of flight simulation
    • Wiley, New York, L. Moic, A. Seabridge, R. Langton (Eds.)
    • Allerton D. Principles of flight simulation. Receptor Localization 2009, 97-154. Wiley, New York. L. Moic, A. Seabridge, R. Langton (Eds.).
    • (2009) Receptor Localization , pp. 97-154
    • Allerton, D.1
  • 3
    • 33746724078 scopus 로고    scopus 로고
    • Log-Euclidean metrics for fast and simple calculus on diffusion tensors
    • Arsigny V., Fillard P., Pennec X., Ayache N. Log-Euclidean metrics for fast and simple calculus on diffusion tensors. Magn. Reson. Med. 2006, 56:411-421.
    • (2006) Magn. Reson. Med. , vol.56 , pp. 411-421
    • Arsigny, V.1    Fillard, P.2    Pennec, X.3    Ayache, N.4
  • 4
    • 66549124324 scopus 로고    scopus 로고
    • In vivo measurement of axon diameter distribution in the corpus callosum of rat brain
    • Barazany D., Basser P.J., Assaf Y. In vivo measurement of axon diameter distribution in the corpus callosum of rat brain. Brain 2009, 132:1210-1220.
    • (2009) Brain , vol.132 , pp. 1210-1220
    • Barazany, D.1    Basser, P.J.2    Assaf, Y.3
  • 5
    • 0026884426 scopus 로고
    • Smooth interpolation of orientations with angular velocity constraints using quaternions
    • Barr A.H., Currin B., Gabriel S., Hughes J.F. Smooth interpolation of orientations with angular velocity constraints using quaternions. Comput. Graph. (SIGGRAPH'92) 1992, 26(2):313-320.
    • (1992) Comput. Graph. (SIGGRAPH'92) , vol.26 , Issue.2 , pp. 313-320
    • Barr, A.H.1    Currin, B.2    Gabriel, S.3    Hughes, J.F.4
  • 6
    • 0028154030 scopus 로고
    • MR diffusion tensor spectroscopy and imaging
    • Basser P.J., Mattiello J., Bihan D.L. MR diffusion tensor spectroscopy and imaging. Biophys. J. 1994, 66:259-267.
    • (1994) Biophys. J. , vol.66 , pp. 259-267
    • Basser, P.J.1    Mattiello, J.2    Bihan, D.L.3
  • 8
    • 53649094176 scopus 로고    scopus 로고
    • Resolving the sign ambiguity in the singular value decomposition
    • Bro R., Acar E., Kolda T.G. Resolving the sign ambiguity in the singular value decomposition. J. Chemometrics 2008, 22:133-140.
    • (2008) J. Chemometrics , vol.22 , pp. 133-140
    • Bro, R.1    Acar, E.2    Kolda, T.G.3
  • 10
    • 0035041359 scopus 로고    scopus 로고
    • Mean diffusivity and fractional anisotropy histograms of patients with multiple sclerosis
    • Cercignani M., Inglese M., Pagani E., Comi G., Filippi M. Mean diffusivity and fractional anisotropy histograms of patients with multiple sclerosis. AJNR Am. J. Neuroradiol. 2001, 22:952-958.
    • (2001) AJNR Am. J. Neuroradiol. , vol.22 , pp. 952-958
    • Cercignani, M.1    Inglese, M.2    Pagani, E.3    Comi, G.4    Filippi, M.5
  • 11
    • 67349135983 scopus 로고    scopus 로고
    • Effects of interpolation methods in spatial normalization of diffusion tensor imaging data on group comparison of fractional anisotropy
    • Chao T., Chou M., Yang P., Chung H., Wu M. Effects of interpolation methods in spatial normalization of diffusion tensor imaging data on group comparison of fractional anisotropy. Magn. Reson. Imag. 2009, 27:681-690.
    • (2009) Magn. Reson. Imag. , vol.27 , pp. 681-690
    • Chao, T.1    Chou, M.2    Yang, P.3    Chung, H.4    Wu, M.5
  • 14
    • 84856209868 scopus 로고    scopus 로고
    • Quaternions, Interpolation and Animation. University of Copenhagen, Technical Report DIKU-TR-98/5
    • Dam, E.B., Koch, M., Millholm, M., 1998. Quaternions, Interpolation and Animation. University of Copenhagen, Technical Report DIKU-TR-98/5, pp. 40-50.
    • (1998) , pp. 40-50
    • Dam, E.B.1    Koch, M.2    Millholm, M.3
  • 15
    • 79953225586 scopus 로고    scopus 로고
    • Variational approaches to the estimation, regularization and segmentation of diffusion tensor images
    • Springer, Faugeras, Paragios, Chen (Eds.)
    • Deriche R., Tschumperle D., Lenglet C., Rousson M. Variational approaches to the estimation, regularization and segmentation of diffusion tensor images. Mathematical Models in Computer Vision: The Handbook 2005, 517-530. Springer. Faugeras, Paragios, Chen (Eds.).
    • (2005) Mathematical Models in Computer Vision: The Handbook , pp. 517-530
    • Deriche, R.1    Tschumperle, D.2    Lenglet, C.3    Rousson, M.4
  • 16
    • 77957310536 scopus 로고    scopus 로고
    • A graph-based approach for automatic cardiac tractography
    • Frindel C., Robini M.C., Croisille P., Zhu Y.-M. A graph-based approach for automatic cardiac tractography. Magn. Reson. Med. 2010, 64(4):1215-1229.
    • (2010) Magn. Reson. Med. , vol.64 , Issue.4 , pp. 1215-1229
    • Frindel, C.1    Robini, M.C.2    Croisille, P.3    Zhu, Y.-M.4
  • 17
    • 60249087119 scopus 로고    scopus 로고
    • Reduced fractional anisotropy of corpus callosum in first-contact, antipsychotic drug-naive patients with schizophrenia
    • Gasparotti R., Valsecchi P., Carletti F., Galluzzo A., Liserre R., Cesana B., Sacchetti E. Reduced fractional anisotropy of corpus callosum in first-contact, antipsychotic drug-naive patients with schizophrenia. Schizophr. Res. 2009, 108:41-48.
    • (2009) Schizophr. Res. , vol.108 , pp. 41-48
    • Gasparotti, R.1    Valsecchi, P.2    Carletti, F.3    Galluzzo, A.4    Liserre, R.5    Cesana, B.6    Sacchetti, E.7
  • 18
    • 0008624048 scopus 로고
    • On a new species of imaginary quantities connected with a theory of quaternions
    • Hamilton W.R. On a new species of imaginary quantities connected with a theory of quaternions. Proc. R. Irish. Acad. 1844, 2:424-434.
    • (1844) Proc. R. Irish. Acad. , vol.2 , pp. 424-434
    • Hamilton, W.R.1
  • 19
    • 0035742314 scopus 로고    scopus 로고
    • Analytical computation of the eigenvalues and eigenvectors in DT-MRI
    • Hasan K.M., Basser P.J., Parker D.L., Alexander A.L. Analytical computation of the eigenvalues and eigenvectors in DT-MRI. J. Magn. Reson. 2001, 152:41-47.
    • (2001) J. Magn. Reson. , vol.152 , pp. 41-47
    • Hasan, K.M.1    Basser, P.J.2    Parker, D.L.3    Alexander, A.L.4
  • 20
    • 23744447246 scopus 로고    scopus 로고
    • Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging
    • Helm P.A., Beg M.F., Miller M.I., Winslow R.L. Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging. Ann. N.Y. Acad. Sci. 2005, 1047:296-307.
    • (2005) Ann. N.Y. Acad. Sci. , vol.1047 , pp. 296-307
    • Helm, P.A.1    Beg, M.F.2    Miller, M.I.3    Winslow, R.L.4
  • 22
    • 78650766526 scopus 로고    scopus 로고
    • Tensor field reconstruction based on eigenvector and eigenvalue interpolation
    • IEEE Computer Society Press, Los Alamitos, California, H. Hagen (Ed.)
    • Hotz I., Sreevalsan Nair J., Hamann B. Tensor field reconstruction based on eigenvector and eigenvalue interpolation. Scientific Visualization: Advanced Concepts 2010, 110-123. IEEE Computer Society Press, Los Alamitos, California. H. Hagen (Ed.).
    • (2010) Scientific Visualization: Advanced Concepts , pp. 110-123
    • Hotz, I.1    Sreevalsan Nair, J.2    Hamann, B.3
  • 23
    • 34047248364 scopus 로고    scopus 로고
    • Analysis of the fiber architecture of the heart by quantitative polarized light microscopy: accuracy, limitations and contribution to the study of the fibre architecture of the ventricles during fetal and neonatal life
    • Jouk P., Mourad A., Milisic V., Michalowicz G., Raoult A., Caillerie D., Usson Y. Analysis of the fiber architecture of the heart by quantitative polarized light microscopy: accuracy, limitations and contribution to the study of the fibre architecture of the ventricles during fetal and neonatal life. Eur. J. Cardio-Thorac. Surg. 2007, 31:915-921.
    • (2007) Eur. J. Cardio-Thorac. Surg. , vol.31 , pp. 915-921
    • Jouk, P.1    Mourad, A.2    Milisic, V.3    Michalowicz, G.4    Raoult, A.5    Caillerie, D.6    Usson, Y.7
  • 25
    • 35649023697 scopus 로고    scopus 로고
    • Diffusion tensor analysis with invariant gradients and rotation tangents
    • Kindlmann G., Ennis D.B., Whitaker R.T., Westin C.F. Diffusion tensor analysis with invariant gradients and rotation tangents. IEEE Trans. Med. Imag. 2007, 26:1483-1499.
    • (2007) IEEE Trans. Med. Imag. , vol.26 , pp. 1483-1499
    • Kindlmann, G.1    Ennis, D.B.2    Whitaker, R.T.3    Westin, C.F.4
  • 26
    • 33645734613 scopus 로고    scopus 로고
    • Introduction to diffusion tensor imaging mathematics: Part I. Tensors, rotations, and eigenvalues
    • Kingsley P.B. Introduction to diffusion tensor imaging mathematics: Part I. Tensors, rotations, and eigenvalues. Concepts Magn. Reson. 2006, 28A:101-123.
    • (2006) Concepts Magn. Reson. , vol.28 A , pp. 101-123
    • Kingsley, P.B.1
  • 27
    • 77952010176 scopus 로고    scopus 로고
    • Cambridge University Press
    • Lavalle S.M. Planning Algorithms 2006, Cambridge University Press, pp. 96-100.
    • (2006) Planning Algorithms , pp. 96-100
    • Lavalle, S.M.1
  • 29
    • 0029151575 scopus 로고
    • Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog
    • LeGrice I.J., Smaill B.H., Chai L.Z., Edgar S.G., Gavin J.B., Hunter P.J. Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am. J. Physiol. 1995, 269:H571-H582.
    • (1995) Am. J. Physiol. , vol.269
    • LeGrice, I.J.1    Smaill, B.H.2    Chai, L.Z.3    Edgar, S.G.4    Gavin, J.B.5    Hunter, P.J.6
  • 30
    • 33746718728 scopus 로고    scopus 로고
    • Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing
    • Lenglet C., Rousson M., Deriche R., Faugeras O. Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing. J. Math. Imag. Vis. 2006, 25:423-444.
    • (2006) J. Math. Imag. Vis. , vol.25 , pp. 423-444
    • Lenglet, C.1    Rousson, M.2    Deriche, R.3    Faugeras, O.4
  • 31
    • 70649100117 scopus 로고    scopus 로고
    • Ex vivo diffusion tensor MRI reflects microscopic structural remodeling associated with aging and disease progression in normal and cardiomyopathic Syrian hamsters
    • Li W., Lu M., Banerjee S., Zhong J., Ye A., Molter J., Yu X. Ex vivo diffusion tensor MRI reflects microscopic structural remodeling associated with aging and disease progression in normal and cardiomyopathic Syrian hamsters. NMR Biomed. 2009, 22:819-825.
    • (2009) NMR Biomed. , vol.22 , pp. 819-825
    • Li, W.1    Lu, M.2    Banerjee, S.3    Zhong, J.4    Ye, A.5    Molter, J.6    Yu, X.7
  • 32
    • 79957650827 scopus 로고    scopus 로고
    • Statistical analysis of the human cardiac fiber architecture from DT-MRI. In: Proceedings of the 6th International Conference on Functional Imaging and Modeling of the Heart (FIMH'11)
    • Lombaert, H., Peyrat, J.-M., Croisille, P., Rapacchi, S., Fanton, L., Clarysse, P., Delingette, H., Ayache, N., 2011. Statistical analysis of the human cardiac fiber architecture from DT-MRI. In: Proceedings of the 6th International Conference on Functional Imaging and Modeling of the Heart (FIMH'11), pp. 171-179.
    • (2011) , pp. 171-179
    • Lombaert, H.1    Peyrat, J.-M.2    Croisille, P.3    Rapacchi, S.4    Fanton, L.5    Clarysse, P.6    Delingette, H.7    Ayache, N.8
  • 33
    • 51049120708 scopus 로고    scopus 로고
    • A general interpolation method for symmetric second-rank tensors in two dimensions. In: the 5th IEEE Int. Symposium on Biomedical Imaging (ISBI)
    • Merino-Caviedes, S., Martin-Fernandez, M., 2008. A general interpolation method for symmetric second-rank tensors in two dimensions. In: the 5th IEEE Int. Symposium on Biomedical Imaging (ISBI), pp. 931-934.
    • (2008) , pp. 931-934
    • Merino-Caviedes, S.1    Martin-Fernandez, M.2
  • 34
    • 85032187592 scopus 로고    scopus 로고
    • Symmetric positive definite matrices: from geometry to applications and visualization
    • Springer, J. Weickart, H. Hagen (Eds.)
    • Moakher M., Batchelor P.G. Symmetric positive definite matrices: from geometry to applications and visualization. Visualization and Image Processing of Tensor Fields 2006, 285-298. Springer. J. Weickart, H. Hagen (Eds.).
    • (2006) Visualization and Image Processing of Tensor Fields , pp. 285-298
    • Moakher, M.1    Batchelor, P.G.2
  • 36
    • 35648951723 scopus 로고    scopus 로고
    • A computational framework for the statistical analysis of cardiac diffusion tensors: application to a small database of canine hearts
    • Peyrat J.-M., Sermesant M., Pennec X., Delingette H., Xu C., McVeigh E.R., Ayache N. A computational framework for the statistical analysis of cardiac diffusion tensors: application to a small database of canine hearts. IEEE Trans. Med. Imag. 2007, 26(11):1500-1514.
    • (2007) IEEE Trans. Med. Imag. , vol.26 , Issue.11 , pp. 1500-1514
    • Peyrat, J.-M.1    Sermesant, M.2    Pennec, X.3    Delingette, H.4    Xu, C.5    McVeigh, E.R.6    Ayache, N.7
  • 37
    • 0029908076 scopus 로고    scopus 로고
    • Toward a quantitative assessment of diffusion anisotropy
    • Pierpaoli C., Basser P.J. Toward a quantitative assessment of diffusion anisotropy. Magn. Reson. Med. 1996, 36:893-906.
    • (1996) Magn. Reson. Med. , vol.36 , pp. 893-906
    • Pierpaoli, C.1    Basser, P.J.2
  • 38
    • 32944457704 scopus 로고    scopus 로고
    • Fiber density index correlates with reduced fractional anisotropy in white matter of patients with glioblastoma
    • Robertsa Tim P.L., Liu F., Kassnera A., Morib S., Guhaa A. Fiber density index correlates with reduced fractional anisotropy in white matter of patients with glioblastoma. AJNR Am. J. Neroradiol. 2005, 26:2183-2186.
    • (2005) AJNR Am. J. Neroradiol. , vol.26 , pp. 2183-2186
    • Robertsa, T.P.L.1    Liu, F.2    Kassnera, A.3    Morib, S.4    Guhaa, A.5
  • 39
    • 0022095776 scopus 로고
    • Animating rotation with quaternion curves
    • Shoemake K. Animating rotation with quaternion curves. Comput. Graph. 1985, 19:245-254.
    • (1985) Comput. Graph. , vol.19 , pp. 245-254
    • Shoemake, K.1
  • 43
    • 0002701585 scopus 로고
    • Gross morphology and fibre geometry of the heart
    • American Physiology Society
    • Streeter D.D. Gross morphology and fibre geometry of the heart. Handbook of Physiology: The Cardiovascular System 1979, vol. 1:61-112. American Physiology Society.
    • (1979) Handbook of Physiology: The Cardiovascular System , vol.1 , pp. 61-112
    • Streeter, D.D.1
  • 46
    • 84883842704 scopus 로고    scopus 로고
    • In vivo human 3D cardiac fibre architecture: reconstruction using curvilinear interpolation of diffusion tensor images. In: Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI'10), LNCS, Beijing, China, September 2010.
    • Toussaint, N., Stoeck, C.T., Kozerke, S., Sermesant, M., Batchelor, P.G., 2010. In vivo human 3D cardiac fibre architecture: reconstruction using curvilinear interpolation of diffusion tensor images. In: Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI'10), LNCS, Beijing, China, September 2010.
    • (2010)
    • Toussaint, N.1    Stoeck, C.T.2    Kozerke, S.3    Sermesant, M.4    Batchelor, P.G.5
  • 47
    • 0032830679 scopus 로고    scopus 로고
    • Visualizing and characterizing white matter fiber structure and architecture in the human pyramidal tract using diffusion tensor MRI
    • Virta A., Barnett A., Pierpaoli C. Visualizing and characterizing white matter fiber structure and architecture in the human pyramidal tract using diffusion tensor MRI. Magn. Reson. Imag. 1999, 17:1121-1133.
    • (1999) Magn. Reson. Imag. , vol.17 , pp. 1121-1133
    • Virta, A.1    Barnett, A.2    Pierpaoli, C.3
  • 48
    • 4043092662 scopus 로고    scopus 로고
    • A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI
    • Wang Z., Vemuri B.C., Chen Y., Mareci T.H. A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI. IEEE Trans. Med. Imag. 2004, 23:930-939.
    • (2004) IEEE Trans. Med. Imag. , vol.23 , pp. 930-939
    • Wang, Z.1    Vemuri, B.C.2    Chen, Y.3    Mareci, T.H.4
  • 49
    • 33646360207 scopus 로고    scopus 로고
    • Reduced fractional anisotropy on diffusion tensor magnetic resonance imaging after hypoxic-ischemic encephalopathy
    • Ward P., Counsell S., Allsop J., Cowan F., Shen Y., Edwards D., Rutherford M. Reduced fractional anisotropy on diffusion tensor magnetic resonance imaging after hypoxic-ischemic encephalopathy. Pediatrics 2006, 117:e619-e630.
    • (2006) Pediatrics , vol.117
    • Ward, P.1    Counsell, S.2    Allsop, J.3    Cowan, F.4    Shen, Y.5    Edwards, D.6    Rutherford, M.7
  • 51
    • 84856213443 scopus 로고    scopus 로고
    • Euler Angles. From MathWorld - A Wolfram Web Resource.
    • Weisstein, W.E., 1996. Euler Angles. From MathWorld - A Wolfram Web Resource. http://mathworld.wolfram.com/EulerAngles.html.
    • (1996)
    • Weisstein, W.E.1
  • 52
    • 33748498239 scopus 로고    scopus 로고
    • Diffusion tensor magnetic resonance imaging mapping the fiber architecture remodeling in human myocardium after infarction: correlation with viability and wall motion
    • Wu M., Tseng W.I., Su M.M., Liu C., Chiou K., Wedeen V.J., Reese T.G., Yang C. Diffusion tensor magnetic resonance imaging mapping the fiber architecture remodeling in human myocardium after infarction: correlation with viability and wall motion. Circulation 2006, 114:1036-1045.
    • (2006) Circulation , vol.114 , pp. 1036-1045
    • Wu, M.1    Tseng, W.I.2    Su, M.M.3    Liu, C.4    Chiou, K.5    Wedeen, V.J.6    Reese, T.G.7    Yang, C.8
  • 53
    • 35048876603 scopus 로고    scopus 로고
    • MR diffusion tensor imaging study of postinfarct myocardium structural remodeling in a porcine model
    • Wu E.X., Wu Y., Nicholls J.M., Wang J., Liao S., Zhu S., Lau C.P., Tse H. MR diffusion tensor imaging study of postinfarct myocardium structural remodeling in a porcine model. Magn. Reson. Med. 2007, 58:687-695.
    • (2007) Magn. Reson. Med. , vol.58 , pp. 687-695
    • Wu, E.X.1    Wu, Y.2    Nicholls, J.M.3    Wang, J.4    Liao, S.5    Zhu, S.6    Lau, C.P.7    Tse, H.8


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.