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The present paper aims at providing the theoretical background required forinvestigating the use of the Microsoft Kinect$^{\rm TM}$ (`Kinect', for short)sensors (original and upgraded) in the analysis of human motion. Ourmethodology is developed in such a way that its application be easily adaptableto comparative studies of other systems used in capturing human-motion data.Our future plans include the application of this methodology to two situations:first, in a comparative study of the performance of the two Kinect sensors;second, in pursuing their validation on the basis of comparisons with amarker-based system (MBS). One important feature in our approach is thetransformation of the MBS output into Kinect-output format, thus enabling theanalysis of the measurements, obtained from different systems, with the samesoftware application, i.e., the one we use in the analysis of Kinect-captureddata; one example of such a transformation, for one popular marker-placementscheme (`Plug-in Gait'), is detailed. We propose that the similarity of theoutput, obtained from the different systems, be assessed on the basis of thecomparison of a number of waveforms, representing the variation within the gaitcycle of quantities which are commonly used in the modelling of the humanmotion. The data acquisition may involve commercially-available treadmills anda number of velocity settings: for instance, walking-motion data may beacquired at $5$ km/h, running-motion data at $8$ and $11$ km/h. We recommendthat particular attention be called to systematic effects associated with thesubject's knee and lower leg, as well as to the ability of the Kinect sensorsin reliably capturing the details in the asymmetry of the motion for the leftand right parts of the human body. The previous versions of the study have beenwithdrawn due to the use of a non-representative database.

On using the Microsoft Kinect$^{\rm TM}$ sensors in the analysis of human motion