Track based alignment of the ATLAS Inner Detector Tracking System

We discuss the track based alignment of the inner detector of the ATLAS experiment. After describing the main alignment method based on the minimization of hit residuals, we focus on alignment methods using information from the electromagnetic calorimeter as well as information obtained from physics quantities like the invariant mass of the J/Y-resonance. We present an overview of the current performance of the ATLAS inner detector and conclude with some general remarks summarizing the experience of the commissioning of the detector from the alignment point of view.