Definition
Let be the vertices of a simplex in a vector space A. If, for some point in A,
and at least one of does not vanish then we say that the coefficients are barycentric coordinates of with respect to . The vertices themselves have the coordinates . Barycentric coordinates are not unique: for any b not equal to zero are also barycentric coordinates of p.
When the coordinates are not negative, the point lies in the convex hull of, that is, in the simplex which has those points as its vertices.
Read more about this topic: Barycentric Coordinate System (mathematics)
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