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RESOLUTION IN REGISTRATION

The following is a round-up of experiments that investigate resolution and its effect on 3-D registration.




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Experiment 20112004-5

This was the earliest experiment that studied the effects of pyramiding. Here are the results:

\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/1-1.eps}\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/1-2.eps}\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/1-3.eps}

from left to right: before NRR; after 5 iterations of NRR at level 2; after another 5 iterations of NRR at level 1 1.




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Experiment 21112004-6

This later experiment took a different pair and applied a more intensive rigid and affine alignment. The following shows NRR stages.

\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/2-1.eps}\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/2-2.eps}\includegraphics[%%
scale=0.7]{/home/roy/Desktop/Graphics/2-3.eps}

from left to right: before NRR; after 5 iterations of NRR at level 2; after another 5 iterations of NRR at level 1.




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Experiment 22112004-1

10 iterations in level 2, then 2 iterations at level 1, and 1 iteration at the finest level.

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/3-1.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/3-2.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/3-3.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/3-4.eps}

from left to right: before NRR; after 10 iterations of NRR at level 2; after another 2 iterations of NRR at level 1; after 1 iteration at level 0.




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Experiment 22112004-2

10 iterations in level 2, 6 iterations at level 1, and 6 at level 0.

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/4-1.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/4-2.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/4-3.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/4-4.eps}

from left to right: before NRR; after 10 iterations of NRR at level 2; after another 6 iterations of NRR at level 1; after 6 iterations at level 0.




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Experiment 25112004-2

A longer optimisation that shows results of changing resolution and number of knot-points. There is a gradual increase in the number of knot-points (+1 at each stage) and a change from level 2 to level 1 between the second and third images below.

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-1.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-2.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-3.eps}

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-4.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-5.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/5-6.eps}

Before NRR (top left) and during NRR.




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Experiments 26112004-3 and 26112004-4

Long optimisations that change both the number of knot-points and the resolution.

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/6-1.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/6-2.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/6-3.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/6-4.eps}

From left to right: before NRR; after NRR, level 2, 4 knot-points; after NRR, level 1, 5 knot-points; after NRR, level 0, 10 knot-points. All stages comprise 10 iterations each.

\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/7-1.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/7-2.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/7-3.eps}\includegraphics[%%
scale=0.5]{/home/roy/Desktop/Graphics/7-4.eps}

As above, for a different pair.




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Experiments 28112004-1 and 28112004-2

This was an important comparison between large registrations. Up to 20 knot-points in each of the 3 dimensions were. picked.

\includegraphics[]{/home/roy/Desktop/Graphics/8-1.eps}\includegraphics[]{/home/roy/Desktop/Graphics/8-2.eps}

On the left: all at level 1; On the right: all at level 2.

There is a clear difference in quality, in favour of the left.



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2004-12-11