Current Monitors for Avalanche Photodiodes
Aren't these the same as transimpadance amplifiers?


Well, yes and no. Technically, any current to voltage converter can be called a transimpedance amplifier. However, when dealing with opamps this generally refers to a configuration where the current is injected directly into one of the opamp inputs and the feedback resistor does the voltage conversion. The answer you link to is a good example. The big problem with this approach is that the conditioning electronics is tightly constrained by the need to return all the current through the load into the amplifier. For multiple sensors this can be difficult.

The current monitor, as shown above, isolates the sense element from the amplifier. This has good and bad consequences. On the plus side, it's easier to measure multiple sensors, and good frequency response is easier to guarantee. On the minus side, you have to insert a separate monitor element into the current path, and the usable gain is typically a good deal less. Also, the transimpedance configuration potentioally injects noise directly into the opamp, which can cause unexpected and intermittent problems.  

Which approach one chooses depends on which considerations are more important.