[darkmighty]

Yea just rounding the coordinates is problematic at high latitudes. Curiously, the problem of finding a "nice" quantization set on the sphere is a well known mathematical problem called Spherical Coding [1]. But you don't need anything this fancy I guess, you can just round the coordinates if the latitude is less than e.g. 60 degrees , and if above you chose another pole and round the coordinates with respect to the second pole. It would probably be a good idea to add some hysteresis as suggested below too (so you're not localizable when you're at one of the edges). Then you can give it some fancy name like "Advanced location privacy protection" :)

http://mathworld.wolfram.com/SphericalCode.html

https://en.wikipedia.org/wiki/Tammes_problem