[R-sig-Geo] uniformly sample points on a border of a polygon

[Paolo Piras]

HI folks,

I write for a (hopefully) relatively simple question:

I would need to uniformly sample 1000 or more points **along the border** of a polygon (not within the area enclosed) that is identified by ordered but not equally spaced points; which is the fastest way?

In a first moment I thought to sample between any pair of consecutive points but, given that starting points are not uniformly distributed, the final result would be very far from a uniform distribution.

here my polygon:


  mypol<-round(matrix(c(-13.8447497369687, -3.51439434200449, 6.09494902836977, 6.83498916728338, 9.20403746769121, 15.3061452155498, 18.4050681631565, 15.334153355932, 9.21809033073377, 6.90467983448734, 6.17942233200763, -3.4864867866601, -13.8299219386242, -17.5237987124776, -17.2262670680261, -17.5217563171495, -2.29667185082115, -7.72275721405543, -9.77084968112857, -8.81725304021858, -8.32894043391822, -4.76080777897439, -0.0600572363382094, 4.62779963258511, 8.20771806467615, 8.70484104396818, 9.68531129857718, 7.67574865642846, 2.46081860449754, 1.31152149442131, 0.0845735294613392, -1.11988475144136),ncol=2),digits=2)
  plot(mypol,asp=1,cex=0)
  text(mypol[,1],mypol[,2],c(1:nrow(mypol)))
Thanks in advance for any hints
all the best
paolo






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