They all organize data by location so you can skip irrelevant regions, replacing "check everything" with "check the things that could possibly matter." That's what took us from a million comparisons to ten.
While there exist many possible ways to triangulate a set of points, the most common method for TINs is the Delaunay triangulation. This is because Delaunay triangulations tend to produce more regular tessellations that are better suited to interpolation. In theory, we can represent our colour palette as a TIN by computing the 3D Delaunay triangulation of the colours in colour space. The nice thing about this is that it makes finding an enclosing simplex much faster; the candidate selection process is simply a matter of determining the enclosing tetrahedron of an input point within the network using a walking algorithm, and taking the barycentric coordinates as the weights.
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An Mn3Sn homo-junction enables efficient field-free full switching of chiral antiferromagnets with greatly reduced power consumption, advancing their potential for energy-efficient magnetic memory devices with advantages of ultradense integration and ultrafast speed.
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