Example Images

Figure B.1: Local transformations of tensors after synthetic displacement. (a) Original image; (b) Full local transformation, Equation 7.28; (c) Local transformation without scaling, Equation 7.29; (d) Only local rotation, Equation 7.30.

$\includegraphics[width = 0.3\textwidth]{images/westin_single.ps}$	$\includegraphics[width = 0.3\textwidth]{images/westin_single_full_warp.ps}$
(a)	(b)
$\includegraphics[width = 0.3\textwidth]{images/westin_single_warpnoscale.ps}$	$\includegraphics[width = 0.3\textwidth]{images/westin_single_onlyrot.ps}$
(c)	(d)

**Figure B.2:** Diffusion tensor image of an adult human brain. The tensors are color encoded as described in section 4.3 on page . The image shows a field of 80 $\times$ 40 $\times$ 1 tensors.

**Figure B.3:** Diffusion tensor image of the corpus callosum of an adult human brain. The tensors are color encoded as described in section 4.3 on page . The image shows a field of 40 $\times$ 40 $\times$ 1 tensors.
$\fbox{\includegraphics[width = 0.9\textwidth]{images/westinslice11_5b.ps}}$

**Figure B.4:** Three dimensional representation of the frontal lobe of the corpus callosum in an adult human brain. Field of view is 40 $\times$ 40 $\times$ 4, smoothed with a Gauss filter of length 3
$\fbox{\includegraphics[width = 0.9\textwidth]{images/westinslice3De.ps}}$

**Figure B.5:** Three dimensional representation of the frontal lobe of the corpus callosum in an adult human brain. Field of view is 40 $\times$ 40 $\times$ 4, smoothed with a Gauss filter of length 3
$\fbox{\includegraphics[width = 0.9\textwidth]{images/westinslice3Dh.ps}}$

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Raimundo Sierra 2001-07-19