geometry (version 0.3-5)

bary2cart: Conversion of Barycentric to Cartesian coordinates

Description

Given the baryocentric coordinates of one or more points with respect to a simplex, compute the Cartesian coordinates of these points.

Usage

bary2cart(X, Beta)

Arguments

X

Reference simplex in $N$ dimensions represented by a $N+1$-by-$N$ matrix

Beta

$M$ points in baryocentric coordinates with respect to the simplex X represented by a $M$-by-$N+1$ matrix

Value

• $M$-by-$N$ matrix in which each row is the Cartesian coordinates of corresponding row of Beta

See Also

cart2bary

Examples

## Define simplex in 2D (i.e. a triangle)
X <- rbind(c(0, 0),
           c(0, 1),
           c(1, 0))
## Cartesian cooridinates of points
beta <- rbind(c(0, 0.5, 0.5),
              c(0.1, 0.8, 0.1))
## Plot triangle and points
trimesh(rbind(1:3), X)
text(X[,1], X[,2], 1:3) # Label vertices
P <- bary2cart(X, beta)
points(P)