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Fibre Tracking: From Raw Images To Tract Visualisation. T.R. Barrick St. George’s Hospital Medical School, London, United Kingdom. Introduction.
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Fibre Tracking: From Raw Images ToTract Visualisation T.R. Barrick St. George’s Hospital Medical School, London, United Kingdom.
Introduction • Diffusion Tensor Magnetic Resonance Imaging has recently emerged as the technique of choice for representation of white matter pathways of the human brain in vivo
Objectives • To show how Diffusion Tensor Images (DTIs) are generated from Diffusion Weighted Images (DWIs) • To demonstrate how freely available software may be used to visualise coloured images and tractography results
Overview • Section 1: Computing the DTI • Section 2: Visualising Coloured Images • Section 3: Streamline Tractography • Section 4: Visualising Tractograms
Section 1: Computing The Diffusion Tensor Brownian motion
Water Diffusion Random, translational motion
Diffusion Characteristics • In a large structure the self diffusion of water is more or less free (isotropy) • In small structures such as axons the diffusion is restricted in some directions more than others (anisotropy)
Diffusion Coefficient (D) • Diffusion is a time dependent process • Molecules diffuse further from their starting point as time increases • Units of D are mm2 s-1 • D is temperature dependent • D depends species under consideration • Water at 37°C; D = 3.0 x 10-3 mm2 s-1
Diffusion-Weighting • Make pulse sequence sensitive to diffusion • Add additional gradients into sequence • Spins move in gradient – phase changes • These gradients cause signal dephasing • Results in signal loss
Diffusion Gradients: Stejskal-Tanner Sequence 90° echo 180° RF gradient d d D
Diffusion Sensitivity: b value • Amount of diffusion sensitivity is called the b value • b value depends on the gradient strength, G, duration d and separation D
Diffusion-Weighted Images (DWI) increasing b factor
Diffusion-Weighted Images (DWI) • Signal loss is proportional to b and D • S(0) is signal without gradients and S(b) is signal with gradients
Diffusion Tensor Imaging (DTI) • Acquire DWI sensitised in at least 6 different directions • (x,y,0), (x,0,z), (0,y,z), (-x,y,0), (-x,0,z), (0,-y,z)) • Plus image without diffusion weighting (T2)
Possible Diffusion Tensor Image Acquisition • 1.5T GE Signa MRI (max field 22 mT m-1) • Diffusion-weighted axial EPI • b=1000 s mm-2 • 12 directions • 4 averages • Voxel size: 2.5mm2.5mm2.8mm
Computation of the DTI • Subject DWIs coregistered to image without diffusion weighting(Haselgrove and Moore, 1996) • General linear model used to compute D at each voxel • Uses observed diffusion weightings and the b-matrix of diffusion sensitisation(Basser et al., 1996)
Diffusion Tensor Imaging • Provides a full description of the second order diffusion tensor, • At each voxel, D is then diagonalised
Diffusion Tensor Imaging • Eigenvalues and eigenvectors of D correspond to principal diffusivities and principal diffusion directions • Necessarily 3 eigenvalues, • Principal diffusivities 1, 2, and 3. • Invariant under rotation.
Diffusion Tensor Imaging • For each eigenvalue the corresponding diffusion direction is given by the eigenvector, v1, v2, and v3. • Direction of principal diffusivity is eigenvector corresponding to largest eigenvalue (diffusivity).
Diffusion Tensor Orientation and Shape Oblate,1 2 >> 3 Prolate,1 >> 2 3 Disc 3 2 3 1 Spherical,1 2 3 v1 Anisotropic Isotropic
Invariant Diffusion Measures: Mean Diffusivity • Apparent Diffusion Coefficient (ADC) • Quantitative • Bright pixels - high diffusion • Uniform across WM • Typical WM values; ADC = 0.8 x 10-3 mm2 s-1
Diffusion Anisotropy ADCx ADCy ADCz
Invariant Diffusion Measures: Fractional Anisotropy • Fractional anisotropy (Basser et al., 1996) • Quantitative, visualizes WM • Bright pixels - high anisotropy Data Range 0 to 1 (isotropic to anisotropic)
Section 2: Visualising Coloured Images • mri3dX – Krish Singh, Aston University • Home page: • http://www.aston.ac.uk/lhs/staff/singhkd/mri3dX/index.shtml • Allows visualisation of: • 24 bit RGB images (shade files, *.shd) • Analyze format images (*.hdr, *.img)
Visualising Coloured Images • 24 bit RGB images • 3 stacked 8 bit volumes (each 256×256×N) • Order: Red, Green, Blue • No header • N.B. Due to the *.shd file’s lack of a header an image with identical height must be loaded prior to loading the *.shd file
mri3dX Environment Main Window Axial Sagittal Coronal
Right-left Anterior-posterior Superior-inferior Principal Diffusion Direction Direction Encoded Colour map (DEC) Red = | vx | Green = | vy | Blue = | vz | Pajevic and Pierpaoli, 1999
Diffusion Tensor Shape Shape Encoded Colour map (SEC) Red = 1/1 = 1 Green = 2/1 Blue = 3/1 Prolate Oblate (Disc) Sphere
Section 3: Streamline Tractography • Attempt to ‘connect’ voxels on basis of directional similarity of coincident eigenvectors Mori et al., Ann Neurol 1999
Streamline Tractography • Tracts generated from DTI • Define step vector length, e.g. t = 1.0 mm • Define tract termination criteria • Fractional anisotropy, e.g. FA < 0.1 • Angle between consecutive eigenvectors, e.g. angle > 45° Basser et al., 2000 Mori et al., 1999
Streamline Tractography • Tracts computed in orthograde and retrograde directions from initial seeds • By using multiple seed points white matter structures are extracted
Tractography Algorithm Seed Point Read tensor
Tractography Algorithm Seed Point Diagonalise tensor Read tensor
Tractography Algorithm Seed Point FA < threshold? Diagonalise tensor Read tensor
Tractography Algorithm Seed Point FA < threshold? Diagonalise tensor Read tensor NO Angle > threshold? Basser et al., 1999 Mori et al., 1999
Tractography Algorithm Seed Point FA < threshold? Diagonalise tensor Read tensor NO Step distance, t, along principal eigenvector Angle > threshold? NO Basser et al., 1999 Mori et al., 1999
Tractography Algorithm Seed Point FA < threshold? Diagonalise tensor Read tensor NO Interpolate tensor field Step distance, t, along principal eigenvector Angle > threshold? NO Basser et al., 1999 Mori et al., 1999
Tractography Algorithm Seed Point FA < threshold? YES Diagonalise tensor Read tensor NO Output tract vectors Interpolate tensor field Step distance, t, along principal eigenvector Angle > threshold? NO YES Basser et al., 2000 Mori et al., 1999
Section 4: Visualising Tractograms • GeomView - interactive 3D viewing program for Unix and Linux (openGL) • View and manipulate 3D objects • Allows rotation, translation, zooming • Geometry Center, University of Minnesota, USA (1992-1996).
GeomView • Although the Geometry Center closed in 1998, GeomView is still available and continues to evolve • Home page – http://www.geomview.org/ • Download from: • http://www.geomview.org/download/
GeomView Environment Main Window Tool Bar Camera Window
GeomView File Format • Documentation available online • GeomView input file format: • Object Oriented Graphics Library (OOGL) • OOGL files may be either text (ASCII) or binary files
VECT File Format • VECT is an OOGL format that allows visualisation of vectors or strings of vectors in GeomView • Number of vectors (steps) in tractogram (N) • Start (s) and end (e) points for each vector • RGB colour (c) for each vector
VECT File Format • The conventional suffix for VECT files is ‘*.vect’. • The files must have the following syntax:
VECT File Format • VECT • #edges (N) #vertices (N×2) #colours (N) • #vertices per edge (i.e. 2, N times) • #colours for each vector (i.e. 1, N times) • N×2 vertices: N×6floats, s(x,y,z), e(x,y,z) • N vector colours: N×4 floats, R G B A)
VECT File Format • Example 1: Drawing two vectors • N = 2 • Edge 1 (2 vertices v1 = (1 0 0), v2 = (0 1 0)) • Edge 2 (2 vertices v1 = (0 1 0), v2 = (0 0 1)) • Colours (absolute value DEC) • For Edge 1 (R G B A) = (1 1 0 1) • For Edge 2 (R G B A) = (0 1 1 1)
VECT File Format • Example 1: Drawing two vectors
e Visualising Tractograms • Example 2: Corticospinal pathway • Patient: Biopsy proven right temporal glioblastoma • ROIs in Brodmann Area 6 and through the base of the corticospinal tract Clark et al., 2003
Visualising Tractograms • Example 2: Corticospinal pathway • Seed regions of interest drawn using… • mriCro – Chris Rorden, Nottingham University • Home page: • http://www.psychology.nottingham.ac.uk/staff/cr1/mricro.html
Visualising Tractograms • Example 2: Corticospinal pathway • Streamline tractography (Basser et al., 2000) • Angle threshold: 45° • FA threshold: 0.1 • Vector length: 2.0mm • Whole brain tractography