Gaussian Scaled Metric Value
The above visualization shows the same representation of the metric and coordinates on the brain slice image as the last post, but this time the metric value has been scaled. It was scaled by taking the metric value measured the difference between the brain-skull interface point on a sampled intensity profile compared with the optimal value for that point and scaling it to s Gaussian or normal curve. The same this was done to the fit of each of the intensity profiles and then the two values were added up to create the final metric. The results of this seem to show that the addition of emphasizing the error into each metric value seems to through off the metric and in this particular example it's hard to find where the optimal location of the metric would be located.The above image is just the weighted difference part of the metric excluding the error resulting from the fit to each of the intensity profiles. The way that the bottom of the distribution seems to be all around the same level could be due to crowding happening on the tail end of the normal distribution that it is being mapped to.
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