How to cluster points inside a contour map?

I have a global map of Earth with contour lines plus, I have coordinates of measurements. What is the best way to cluster the points inside and outside of the contours? In the image attached, as you can see the clustering is not so good. Thanks

Answer 1

[KSSV]

doc kmeans

[Shlomit Sharoni]

Thank you but i'm not sure kmeans will work. if I understood correctly kmeans cluster the points by their distances from each other which is not the case here. I would like to cluster them according to a specific boundary.

[KSSV]

Then it is an easy job....have a look inpolygon. Provide the boundaries of the closed region and the points...this function will give you indices of points lying in and on the closed region.