I will take a guess that you are asking how a rectifier with a transistor as well as a diode in each leg compares to one with just a diode in each leg. Both have an "H" topology.
The rectifier with just diodes is usually termed a "passive" rectifier, without any ability to actively control when and how it passes current to the DC side. It typically "gulps" current at the peaks of the AC input waveforms. This does lousy things to the power quality of the system.
The rectifier with transistors as well in the legs can be a "active" rectifier. It is essentially the same as an inverter, but usually acting in "(re)generation" mode. By controlling the duty cycle of the transistors, it can much more smoothly take power from the AC input. Of course, this extra capability and complexity costs a lot more.
Curt Wilson
Omron Delta Tau