From affine to barycentric coordinates in polytopes

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 point in a general convex polytope, there may be multiple representations, so i

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Publication Details

Journal
Banach Center Publications
Published
2025-01-01
DOI
https://doi.org/10.4064/bc129-10
Citations
2
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
8.18
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article

From affine to barycentric coordinates in polytopes

Jonathan D. H. Smith, Anna Zamojska-Dzienio, Anna Romanowska
2 citations
Banach Center Publications
Mathematics and Applications
8.18
article

From affine to barycentric coordinates in polytopes

Jonathan D. H. Smith, Anna Zamojska-Dzienio, Anna Romanowska
article en
2 citations

Abstract

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 point in a general convex polytope, there may be multiple representations, so i

Banach Center PublicationsVol. 129
Warsaw University of Technology (PL), Iowa State University (US), University of Warsaw (PL)
Openalex Percentile: Top 4%
Mathematics and Applications
8.18
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