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From affine to barycentric coordinates in polytopes
Anna B. Romanowska, Jonathan D. H. Smith, Anna Zamojska-Dzienio
Each point of a simplex is expressed as a unique convex combination of the vertices. The coefficients in the combination are the barycentric coordinates of the point. For each poin…
math.MG2023
The inverse problem of convex polygon coordinates
A. B. Romanowska, J. D. H. Smith, A. Zamojska-Dzienio
Each convex combination of extreme points of a compact convex set represents a certain point of the convex set. Barycentric coordinates provide solutions to the inverse problem of…