Scalar product and distance in barycentric coordinates
Vladimir Zolotov
TL;DR
This paper presents formulas for scalar products and distances within generalized barycentric coordinates applicable to both Euclidean and Pseudo-Euclidean spaces, enhancing geometric computation methods.
Contribution
It introduces new formulas for scalar product and distance in barycentric coordinates for Euclidean and Pseudo-Euclidean spaces, expanding their computational framework.
Findings
Formulas for scalar product in barycentric coordinates
Formulas for distance in barycentric coordinates
Applicable to Euclidean and Pseudo-Euclidean spaces
Abstract
We give a formula for scalar product and distance in generalized barycentric coordinates for Euclidean and Pseudo-Euclidean spaces.
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Taxonomy
TopicsFixed Point Theorems Analysis · Mathematics and Applications · Advanced Differential Geometry Research