Disclosed is a method for supervision of an additive manufacturing process for producing a manufacturing product by selectively solidifying build-up material in a process chamber. The build-up material is irradiated according to predefinable irradiation control data; and a process chamber supervisory data set is generated based on the irradiation control data, supervisory data being encoded process chamber point by process chamber point in said data set. Quality data concerning the manufacturing process are determined based on the process chamber supervisory data set. A description is further given of a supervisory device suitable therefor a control device for an apparatus for additive manufacturing of manufacturing products, and an apparatus for additive manufacturing of manufacturing products comprising such a control device.