What you do in Detours is, freeze the process, disassemble the first several instructions of the function you want to hook, copy out enough of them to make room for a full jump instruction, copy in your hook function somewhere in memory, followed by the instructions you stole to make room for the jump, followed by a jump back to the original function. Then you patch in a jump to that location and unfreeze the process.
The example programs for Detours do this, for instance, on every libc function to implement library tracing.
That this "just works" with Microsoft's Detours package is kind of mindboggling.
This is a great project to tackle if you want to write programmable debuggers. We've done it for Win32 (you need a full build environment to use Detours; we have the whole thing in Ruby), OS X, and Linux. It's crazy useful.