Kontinuation commented on PR #845:
URL: https://github.com/apache/sedona/pull/845#issuecomment-1566979479
The transformation from sphere/spheroid distance to radius distance may not
be an inclusive transformation, which means that $\forall (p_0, p_1, d) [
\textrm{DistanceSphere}(p_0, p_1) < d \implies \textrm{Distance}(p_0, p_1) <
\frac{d}{111000} ]$ does not hold. Applying the optimization may result in
fewer results being produced. If this is the case, we have to document that
such queries may not produce accurate results, especially for geometries near
the poles.
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