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Methods
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Figure 39 shows another example. In the left image, all pixels but one have zero displacement
values. The displacement value that is not zero has been assigned manually by using a func-
tionality provided by mrFindBorders (manual warping). The image in the middle also shows
control points, but there are more control points here than in the left image, which results in
more degrees of freedom. It can be seen how the one non-zero displacement value in the left
image influences its local environment (up to its neighboring control points). The right image
shows the same control points as in the left image as well as the resulting deformed atlas im-
age. It is important to note that the deformation is “smooth” (continuous) although only one
control point has been assigned a non-zero displacement value. Again, this is due to the bilin-
ear interpolation of displacement values for all pixels when calculating the full displacement
fields.
5.2.3 Deformation
The deformation is performed with the full displacement fields u and v, which were calculated
from the cu and cv.
Figure 39: Displacement fields and corresponding deformed atlas image
See text for details
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