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In the upcoming LHC Run 3, starting in 2021, the upgraded Time ProjectionChamber (TPC) of the ALICE experiment will record minimum bias Pb-Pb collisionsin a continuous readout mode at an interaction rate up to 50 kHz. Thiscorresponds to typically 4-5 overlapping collisions during the electron drifttime in the detector. Despite careful tuning of the new quadruple GEM-basedreadout chambers, which fulfill the design requirement of an ion backflow below1%, these conditions will lead to space-charge distortions of severalcentimeters that fluctuate in time. They will be corrected via a calibrationprocedure that uses the information of the Inner Tracking System (ITS), whichis located inside, and the Transition Radiation Detector (TRD) andTime-Of-Flight system (TOF), located around the TPC, respectively. By usingsuch a procedure the intrinsic track resolution of the TPC of a few hundredmicrometers can be restored.  The required online tracking algorithm for the TRD, which is based on aKalman filter, is presented. The procedure matches extrapolated ITS-TPC tracksto TRD space-points utilizing GPUs. Subsequently these global tracks arerefitted neglecting the TPC information. The residuals of the TPC clusters tothe interpolation of the refitted tracks are used to create a map ofspace-charge distortions. Regular updates of the map compensate for changes inthe TPC conditions. The map is applied in the final reconstruction of the data.First performance results of the tracking algorithm will be shown.

Space-point calibration of the ALICE TPC with track residuals