Instead of filtering syscalls to the host kernel, gVisor interposes a completely separate kernel implementation called the Sentry between the untrusted code and the host. The Sentry does not access the host filesystem directly; instead, a separate process called the Gofer handles file operations on the Sentry’s behalf, communicating over a restricted protocol. This means even the Sentry’s own file access is mediated.
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The efficiency depends on the query size relative to the data distribution. A small query in a sparse region prunes almost everything. A query that covers the whole space prunes nothing (because every node overlaps), degenerating to a brute-force scan. The quadtree gives you the most benefit when your queries are spatially local, which is exactly the common case for map applications, game physics, and spatial databases.