# (1) The Obligatory Mathematical surface.
# Rotated sinc function.
x <- seq(-10, 10, length= 30)
y <- x
f <- function(x,y) { r <- sqrt(x^2+y^2); 10 * sin(r)/r }
z <- outer(x, y, f)
z[is.na(z)] <- 1
open3d()
bg3d("white")
material3d(col="black")
persp3d(x, y, z, aspect=c(1, 1, 0.5), col = "lightblue",
xlab = "X", ylab = "Y", zlab = "Sinc( r )")
# (2) Add to existing persp plot:
xE <- c(-10,10); xy <- expand.grid(xE, xE)
points3d(xy[,1], xy[,2], 6, col = 2, size = 3)
lines3d(x, y=10, z= 6 + sin(x), col = 3)
phi <- seq(0, 2*pi, len = 201)
r1 <- 7.725 # radius of 2nd maximum
xr <- r1 * cos(phi)
yr <- r1 * sin(phi)
lines3d(xr,yr, f(xr,yr), col = "pink", size = 2)
# (3) Visualizing a simple DEM model
z <- 2 * volcano # Exaggerate the relief
x <- 10 * (1:nrow(z)) # 10 meter spacing (S to N)
y <- 10 * (1:ncol(z)) # 10 meter spacing (E to W)
open3d()
bg3d("slategray")
material3d(col="black")
persp3d(x, y, z, col = "green3", aspect="iso",
axes = FALSE, box = FALSE)
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