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The goal is to extract reference shapes (referred to as templates) from noisy, deformed and censored realizations of curves and images.
In the current method, we extract reference voxels that fall under the lower end of the histogram range, which sets the mean ( {BP}_{mathsf{ND}}^{ast } ) in this range to be zero in the regenerated ( {BP}_{mathsf{ND}}^{ast } ) parametric images.
To apply the current method to the quantification of tau accumulation in the patients with tauopathies, prior knowledge of HC histograms is required to determine the range of ( {BP}_{mathsf{ND}}^{ast } ) values to extract reference voxels from the histogram of the patients.
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Our study also shows the ability to extract reference-free SNPs from a large set of genomes and then to use these SNPs for phylogenetic reconstruction.
Therefore, we extracted reference voxels only from the cortex in the present study.
All comparisons are made between the detected buildings and the manually extracted reference buildings.
This finding may stem from low-level contamination of the extracted reference tissue with voxels containing tau lesions in ADs.
We extracted reference voxels that have a low likelihood of tau binding only from the cortical voxels.
We also found that α in the extracted reference regions was higher in ADs than in HCs.
The ( {BP}_{mathsf{ND}}^{ast } ) values estimated using the extracted reference voxels were slightly higher than those estimated using cerebellar cortical ROIs.
Figure 12a is the initial SAR image with the size of 312 × 363 pixels and Figure 12b shows the manually extracted reference building boundaries.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com