Towards quantification of the brain's sheet structure : evaluation of the discrete Lie bracket

C.M.W. Tax; T.C.J. Dela Haije; A. Fuster; R. Duits; M.A. Viergever; L.M.J. Florack; A. Leemans

Towards quantification of the brain's sheet structure : evaluation of the discrete Lie bracket

C.M.W. Tax, T.C.J. Dela Haije, A. Fuster, R. Duits, M.A. Viergever, L.M.J. Florack, A. Leemans

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

Abstract

Recently, a debate in literature discussed the possibility of the cerebral pathways being organized in a grid structure of interwoven sheets. To prove or disprove this statement, a more quantitative evaluation is needed. In this work, we evaluate the capability of the discrete Lie bracket proposed in Wedeen (2012a) to quantify sheet structure as a function of noise and voxel size. On simulated vector fields, we show that this Lie bracket is indeed capable of distinguishing sheet structured from non-sheet structured vector fields within certain limits for noise and voxel size.

Original language	English
Title of host publication	Joint Annual Meeting ISMRM-ESMRMB 2014 (Milan, Italy, May 10-16, 2014)
Place of Publication	s.l.
Publisher	s.n.
Pages	975-
Publication status	Published - 2014
Event	Joint Annual Meeting ISMRM-ESMRMB 2014 - Milan, Italy Duration: 10 May 2014 → 16 May 2014 http://www.ismrm.org/14/

Conference

Conference	Joint Annual Meeting ISMRM-ESMRMB 2014
Country/Territory	Italy
City	Milan
Period	10/05/14 → 16/05/14
Internet address	http://www.ismrm.org/14/

Cite this

@inproceedings{d1e2b90b4ba1414ea5ea698c9a592f0d,

title = "Towards quantification of the brain's sheet structure : evaluation of the discrete Lie bracket",

abstract = "Recently, a debate in literature discussed the possibility of the cerebral pathways being organized in a grid structure of interwoven sheets. To prove or disprove this statement, a more quantitative evaluation is needed. In this work, we evaluate the capability of the discrete Lie bracket proposed in Wedeen (2012a) to quantify sheet structure as a function of noise and voxel size. On simulated vector fields, we show that this Lie bracket is indeed capable of distinguishing sheet structured from non-sheet structured vector fields within certain limits for noise and voxel size.",

author = "C.M.W. Tax and {Dela Haije}, T.C.J. and A. Fuster and R. Duits and M.A. Viergever and L.M.J. Florack and A. Leemans",

year = "2014",

language = "English",

pages = "975--",

booktitle = "Joint Annual Meeting ISMRM-ESMRMB 2014 (Milan, Italy, May 10-16, 2014)",

publisher = "s.n.",

note = "Joint Annual Meeting ISMRM-ESMRMB 2014 ; Conference date: 10-05-2014 Through 16-05-2014",

url = "http://www.ismrm.org/14/",

}

TY - GEN

T1 - Towards quantification of the brain's sheet structure : evaluation of the discrete Lie bracket

AU - Tax, C.M.W.

AU - Dela Haije, T.C.J.

AU - Fuster, A.

AU - Duits, R.

AU - Viergever, M.A.

AU - Florack, L.M.J.

AU - Leemans, A.

PY - 2014

Y1 - 2014

N2 - Recently, a debate in literature discussed the possibility of the cerebral pathways being organized in a grid structure of interwoven sheets. To prove or disprove this statement, a more quantitative evaluation is needed. In this work, we evaluate the capability of the discrete Lie bracket proposed in Wedeen (2012a) to quantify sheet structure as a function of noise and voxel size. On simulated vector fields, we show that this Lie bracket is indeed capable of distinguishing sheet structured from non-sheet structured vector fields within certain limits for noise and voxel size.

AB - Recently, a debate in literature discussed the possibility of the cerebral pathways being organized in a grid structure of interwoven sheets. To prove or disprove this statement, a more quantitative evaluation is needed. In this work, we evaluate the capability of the discrete Lie bracket proposed in Wedeen (2012a) to quantify sheet structure as a function of noise and voxel size. On simulated vector fields, we show that this Lie bracket is indeed capable of distinguishing sheet structured from non-sheet structured vector fields within certain limits for noise and voxel size.

M3 - Conference contribution

SP - 975-

BT - Joint Annual Meeting ISMRM-ESMRMB 2014 (Milan, Italy, May 10-16, 2014)

PB - s.n.

CY - s.l.

T2 - Joint Annual Meeting ISMRM-ESMRMB 2014

Y2 - 10 May 2014 through 16 May 2014

ER -

Towards quantification of the brain's sheet structure : evaluation of the discrete Lie bracket

Abstract

Conference

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