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The representation qualities for both image Lena and peppers using different AMA methods are shown in Table 1.
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Further adaptation does not improve the representation quality for this case.
The reconstructed image is shown in Fig. 15 and the representation quality is PSNR=34.30.
The representation quality for (mathbb {M}_{text {aniso,1}}) is PSNR = 29.81, and is PSNR = 30.81 for (mathbb {M}_{text {aniso,2}}).
Our results in Section 3 also confirm that anisotropic meshes provide better representation quality than isotropic meshes.
The representation quality is PSNR=28.41 for ED. Figure 7 shows similar results for the image peppers at S D=3 %.
In order to improve the representation quality of the quadratic separable kernel distribution, the distribution known as the modified B distribution (MBD) [4, 8, 9] has been proposed.
In fact, quadratical interpolation provides higher representation quality; however, the sample density is also higher since it uses the midpoints on the edges of the triangles.
However, in this paper, we only consider linear finite element interpolation for triangular elements and the effects of higher order interpolation on representation quality is currently under investigation.
In our computations, we choose metric tensor (mathbb {M}_{text {aniso,3}}) in the above procedures for GPRAMA due to its good representation quality as described in Section 3. In each iteration of Step 2, except the first, we only need to compute the significance measures for the neighboring vertices of v i after it is removed.
Notably, cross-species representation levels may not necessarily be a proof of representation quality.
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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