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Fig. 4

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2D algorithm sketch of both transformation directions, highlighting the symmetry. This also illustrates buffer sizes, showing how padding facet data to 4uΥln tends to dominate memory consumption both in the horizontal (u) and vertical (υ) axes. This is why it is important to share intermediate buffers for subgrids from the same ‘column’ (mi(u)=mi(u))$\[\left(\mathrm{m}_i^{(\mathrm{u})}=\mathrm{m}_{i^{\prime}}^{(\mathrm{u})}\right)\]$.

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