Natural neighbour interpolation has a number of strengths over linear barycentric interpolation. Namely, it provides a smooth or continuous slope between samples3, and is always the same for a given point set, unlike the TIN where the quality of the triangulation can produce biases in the outcome, even in the best case.
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And looksmaxxers hyperfocus on specific attributes. The name "Clavicular" itself references the clavicle, a bone important in the looksmax community. One's side profile and face shape are other examples. These are features that previous generations of men surely didn't notice or care about, and their sudden importance is the result of unlimited access to mirrors, a camera, and a mainline to endless posts about looksmaxxing.