An arrangement for the model-based calibration of a mechanism in a workspace with calibration objects that are either directed laser radiation patterns together with an associated laser radiation-pattern generator or radiation-pattern position sensors. Functional operation groups made up of at least one laser radiation pattern and at least one position sensor interact in such a way when a radiation pattern impinges on the sensor that measured sensor position information values are passed along to computing devices that determine the parameters of a mathematical mechanism model with the aid of these measured values. In the process, at least two different functional operation groups are used to calibrate the mechanism, and at least two calibration objects from different functional operation groups are rigidly connected to one another.