Find spatial discontinuities in r

Question

I would like to draw previously unknown borders based on spatial discontinuities, i.e. a significant change in the value of a variable of interest between adjacent points.

I have tried sm.discontinuity with geographic coordinates, but found the border to be changing a lot.

Points are generated with code below.

set.seed(2)

scatter = data.frame(
  x = rnorm(100, mean = 1.5, sd = .6),
  y = rnorm(100, mean = 5, sd = 2),
  value = rnorm(100, mean = 5, sd = 2)
)

Any help would be much appreciated!