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#' @title 3D Minimum Spanning Tree Plot
#'
#' @description Plots a 3D MST by producing a point cloud with segments as a
#' 'scatterplot3d' graphic.
#'
#' @param tree a \code{MST} class object returned by the \code{ComputeMST()}
#' function.
#' @param x the numeric position or the name of the column to be used as the x
#' coordinates of points in the plot.
#' @param y the numeric position or the name of the column to be used as the y
#' coordinates of points in the plot.
#' @param z the numeric position or the name of the column to be used as the z
#' coordinates of points in the plot.
#' @param col.pts color of points (vertices/nodes) in the plot.
#' @param col.segts color of segments (edges) in the plot.
#' @param angle angle between x and y axis (Attention: result depends on
#' scaling).
#' @param ... further graphical parameters.
#' @return NULL
#'
#' @examples
#'
#' ## 3D artificial data:
#' n1 = 12
#' n2 = 22
#' n3 = 7
#' n = n1 + n2 + n3
#' set.seed(1984)
#'
#' mean_vector <- sample(seq(1, 10, by = 2), 3)
#' sd_vector <- sample(seq(0.01, 0.8, by = 0.01), 3)
#' c1 <- matrix(rnorm(n1*3, mean = mean_vector[1], sd = .3), n1, 3)
#' c2 <- matrix(rnorm(n2*3, mean = mean_vector[2], sd = .5), n2, 3)
#' c3 <- matrix(rnorm(n3*3, mean = mean_vector[3], sd = 1), n3, 3)
#' d<-rbind(c1, c2, c3)
#'
#' ## MST:
#' out <- ComputeMST(d)
#'
#' ## 3D PLOT:
#' plotMST3D(out)
#'
#' @export
#'
plotMST3D <- function(tree, x=1, y=2, z=3,
col.pts = "black", col.segts = "black", angle=40, ...) {
x = x
y = y
z = z
g <- scatterplot3d::scatterplot3d(tree[, x], tree[, y], tree[, z],
color=col.pts, angle=angle, ...)
from <- g$xyz.convert(tree[tree$from, x] , tree[tree$from, y],
tree[tree$from, z])
to <- g$xyz.convert(tree[tree$to, x] , tree[tree$to, y],
tree[tree$to, z])
graphics::segments(from$x, from$y, to$x, to$y, col=col.segts, ...)
}
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