Computerized exercise apparatus

A training, rehabilitation, and recovery system comprises an exercise apparatus including a user interface member coupled to a plurality of links and joints, brakes capable of resisting movement of at least a subset of the links or joints, and sensors capable of sensing movement at the joints or the user interface member. The system also includes a processor configured to receive from the sensors positional data of the links or joints over an initial movement of the apparatus by a user, from which positional coordinates of the user interface member are calculated and a reference trajectory is established. An end space is defined based on the reference trajectory. Over a subsequent movement of the apparatus by the user, the processor receives additional positional data and determines a completion of a repetition based on the positional coordinates of the subsequent movement and the defined end space.