Recall that a barycentric coordinate system is given with respect to a -dimensional simplex, where is no larger than the dimensional space. Given a set of scattered points, it’s possible to create a tessellation of the space by forming simplices from the points, such that any input point that lies within the convex hull of the scattered set can be expressed in terms of the enclosing simplex and its corresponding barycentric coordinates2. This can be understood as a kind of triangulated irregular network (TIN).
And thæt heo sæyde wæs eall soth. Ich wifode on hire, and heo wæs ful shyne wif, wis ond wælfæst. Ne yemette ich næfer ær swylche wifman. Heo wæs on yefeoghte swa beald swa æniy mann, and theah hwæthere hire andwlite wæs wynsum and fæyer.
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