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This thesis presents the implementation of the online reconstruction, calibration and monitoring of the data of the Transition Radiation Detector of ALICE. This reconstruction is performed on the High Level Trigger, the third level of the ALICE trigger system, and enables online calibration and monitoring of the incoming data. Additionally, the HLT can steer the data storage, such that only physical interesting events are saved. The online reconstruction, as well as the calibration, makes use of the existing offline algorithms. Therefore, interfaces between the HLT and these offline algorithms were implemented. For being able to reach the speed of 2000 Hz in proton-proton collisions, and 200 Hz in leadlead collisions, the algorithms had to be accelerated. Bottlenecks were tracked down using dedicated tools, and respective code was either reimplemented or it is being skipped during the online reconstruction. The quality of the output data was monitored throughout the implementation, to assure that it is not being cut too much.