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Volumn 17, Issue 5, 2013, Pages 503-514

A polynomial approach for extracting the extrema of a spherical function and its application in diffusion MRI

Author keywords

HARDI; Maxima; ODF; Polynomials; Tensors

Indexed keywords

HARDI; HOMOGENEOUS POLYNOMIALS; MAXIMA; MICROSTRUCTURAL INFORMATION; ODF; OPTIMIZATION APPROACH; ORIENTATION DISTRIBUTION FUNCTION; RECONSTRUCTION ALGORITHMS;

EID: 84876735438     PISSN: 13618415     EISSN: 13618423     Source Type: Journal    
DOI: 10.1016/j.media.2013.03.004     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 80055063492 scopus 로고    scopus 로고
    • ODF maxima extraction in spherical harmonic representation via analytical search space reduction
    • Springer, T. Jiang, N. Navab, J.P.W. Pluim, M.A. Viergever (Eds.)
    • Aganj I., Lenglet C., Sapiro G. ODF maxima extraction in spherical harmonic representation via analytical search space reduction. Medical Image Computing and Computer-Assisted Intervention (MICCAI) 2010, 8491. Springer. T. Jiang, N. Navab, J.P.W. Pluim, M.A. Viergever (Eds.).
    • (2010) Medical Image Computing and Computer-Assisted Intervention (MICCAI) , pp. 8491
    • Aganj, I.1    Lenglet, C.2    Sapiro, G.3
  • 2
    • 77955112124 scopus 로고    scopus 로고
    • Reconstruction of the orientation distribution function in single and multiple shell Q-ball imaging within constant solid angle
    • Aganj I., Lenglet C., Sapiro G., Yacoub E., Ugurbil K., Harel N. Reconstruction of the orientation distribution function in single and multiple shell Q-ball imaging within constant solid angle. Magnetic Resonance in Medicine 2010, 64:554566.
    • (2010) Magnetic Resonance in Medicine , vol.64 , pp. 554566
    • Aganj, I.1    Lenglet, C.2    Sapiro, G.3    Yacoub, E.4    Ugurbil, K.5    Harel, N.6
  • 3
    • 26444526978 scopus 로고    scopus 로고
    • Maximum entropy spherical deconvolution for diffusion MRI
    • In: Image Processing in Medical Imaging
    • Alexander, D.C., 2005. Maximum entropy spherical deconvolution for diffusion MRI. In: Image Processing in Medical Imaging, pp. 76-87.
    • (2005) , pp. 76-87
    • Alexander, D.C.1
  • 5
    • 34548425659 scopus 로고    scopus 로고
    • Symmetric positive 4th order tensors & their estimation from diffusion weighted MRI
    • In: Information Processing in Medical Imaging (IPMI 2007)
    • Barmpoutis, A., Jian, B., Vemuri, B.C., 2007. Symmetric positive 4th order tensors & their estimation from diffusion weighted MRI. In: Information Processing in Medical Imaging (IPMI 2007), pp. 308-319.
    • (2007) , pp. 308-319
    • Barmpoutis, A.1    Jian, B.2    Vemuri, B.C.3
  • 9
    • 58849119274 scopus 로고    scopus 로고
    • High Angular Resolution Diffusion MRI: From Local Estimation to Segmentation and Tractography
    • Ph.D. thesis, Universite de Nice - Sophia Antipolis.
    • Descoteaux, M., 2008. High Angular Resolution Diffusion MRI: From Local Estimation to Segmentation and Tractography. Ph.D. thesis, Universite de Nice - Sophia Antipolis.
    • (2008)
    • Descoteaux, M.1
  • 10
    • 79959696380 scopus 로고    scopus 로고
    • Apparent diffusion coefficients from high angular resolution diffusion imaging: estimation and applications
    • In: SPIE Medical Imaging, San Diego.
    • Descoteaux, M., Angelino, E., Fitzgibbons, S., Deriche, R., 2006. Apparent diffusion coefficients from high angular resolution diffusion imaging: estimation and applications. In: SPIE Medical Imaging, San Diego.
    • (2006)
    • Descoteaux, M.1    Angelino, E.2    Fitzgibbons, S.3    Deriche, R.4
  • 14
    • 0036779293 scopus 로고    scopus 로고
    • Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete
    • Garboczi E.J. Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete. Cement and Concrete Research 2002, 32:1621-1638.
    • (2002) Cement and Concrete Research , vol.32 , pp. 1621-1638
    • Garboczi, E.J.1
  • 15
    • 70450271025 scopus 로고    scopus 로고
    • A polynomial based approach to extract the maxima of an antipodally symmetric spherical function and its application to extract fiber directions from the orientation distribution function in diffusion MRI
    • In: Proceedings of Workshop on Computational Diffusion MRI, MICCAI.
    • Ghosh, A., Tsigaridas, E., Descoteaux, M., Comon, P., Mourrain, B., Deriche, R., 2008. A polynomial based approach to extract the maxima of an antipodally symmetric spherical function and its application to extract fiber directions from the orientation distribution function in diffusion MRI. In: Proceedings of Workshop on Computational Diffusion MRI, MICCAI.
    • (2008)
    • Ghosh, A.1    Tsigaridas, E.2    Descoteaux, M.3    Comon, P.4    Mourrain, B.5    Deriche, R.6
  • 17
    • 0142125688 scopus 로고    scopus 로고
    • Persistent angular structure: new insights from diffusion magnetic resonance imaging data
    • Jansons K.M., Alexander D.C. Persistent angular structure: new insights from diffusion magnetic resonance imaging data. Inverse Problems 2003, 19:1031-1046.
    • (2003) Inverse Problems , vol.19 , pp. 1031-1046
    • Jansons, K.M.1    Alexander, D.C.2
  • 18
    • 2342542443 scopus 로고    scopus 로고
    • Characterizing non-Gaussian diffusion by using generalized diffusion tensors
    • Liu C., Bammer R., Acar B., Moseley M.E. Characterizing non-Gaussian diffusion by using generalized diffusion tensors. Magnetic Resonance in Medicine 2004, 51:924-937.
    • (2004) Magnetic Resonance in Medicine , vol.51 , pp. 924-937
    • Liu, C.1    Bammer, R.2    Acar, B.3    Moseley, M.E.4
  • 19
    • 79953296412 scopus 로고    scopus 로고
    • On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers
    • Mantzaflaris A., Mourrain B., Tsigaridas E.P. On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Theoretical Computer Science 2011, 412:2312-2330.
    • (2011) Theoretical Computer Science , vol.412 , pp. 2312-2330
    • Mantzaflaris, A.1    Mourrain, B.2    Tsigaridas, E.P.3
  • 20
    • 60249084453 scopus 로고    scopus 로고
    • Subdivision methods for solving polynomial equations
    • Mourrain B., Pavone J.P. Subdivision methods for solving polynomial equations. Journal of Symbolic Computation 2009, 44:292-306.
    • (2009) Journal of Symbolic Computation , vol.44 , pp. 292-306
    • Mourrain, B.1    Pavone, J.P.2
  • 21
    • 0242290986 scopus 로고    scopus 로고
    • Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging
    • Ozarslan E., Mareci T.H. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magnetic Resonance in Medicine 2003, 50:955-965.
    • (2003) Magnetic Resonance in Medicine , vol.50 , pp. 955-965
    • Ozarslan, E.1    Mareci, T.H.2
  • 22
    • 78651578983 scopus 로고    scopus 로고
    • Higher order positive semidefinite diffusion tensor imaging
    • Qi L., Yu G., Wu E.X. Higher order positive semidefinite diffusion tensor imaging. SIAM Journal of Imaging Sciences 2010, 3:416-433.
    • (2010) SIAM Journal of Imaging Sciences , vol.3 , pp. 416-433
    • Qi, L.1    Yu, G.2    Wu, E.X.3
  • 23
    • 34147121196 scopus 로고    scopus 로고
    • Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution
    • Tournier J.D., Calamante F., Connelly A. Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 2007, 35:1459-1472.
    • (2007) NeuroImage , vol.35 , pp. 1459-1472
    • Tournier, J.D.1    Calamante, F.2    Connelly, A.3
  • 24
    • 7444257398 scopus 로고    scopus 로고
    • Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution
    • Tournier J.D., Calamante F., Gadian D., Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 2004, 23:1176-1185.
    • (2004) NeuroImage , vol.23 , pp. 1176-1185
    • Tournier, J.D.1    Calamante, F.2    Gadian, D.3    Connelly, A.4
  • 25
    • 66249095542 scopus 로고    scopus 로고
    • MedINRIA: medical image navigation and research tool by INRIA
    • In: Proc. of MICCAI'07 Workshop on Interaction in Medical Image Analysis and Visualization, Brisbane, Australia.
    • Toussaint, N., Souplet, J., Fillard, P., 2007. MedINRIA: medical image navigation and research tool by INRIA. In: Proc. of MICCAI'07 Workshop on Interaction in Medical Image Analysis and Visualization, Brisbane, Australia.
    • (2007)
    • Toussaint, N.1    Souplet, J.2    Fillard, P.3
  • 26
    • 70749153219 scopus 로고    scopus 로고
    • A new methodology for the estimation of fiber populations in the white matter of the brain with the Funk-Radon transform
    • Tristan-Vega A., Westin C.F., Aja-Fernandez S. A new methodology for the estimation of fiber populations in the white matter of the brain with the Funk-Radon transform. NeuroImage 2010, 49:1301-1315.
    • (2010) NeuroImage , vol.49 , pp. 1301-1315
    • Tristan-Vega, A.1    Westin, C.F.2    Aja-Fernandez, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.