Method for contactlessly establishing a temperature of a surface, in particular for contactlessly establishing a temperature distribution on a surface, by means of an infrared measurement system (10, 10a), wherein the infrared measurement system (10, 10a) comprises at least: - an infrared detector array with a plurality of measurement pixels, which each provide a measurement signal for establishing a temperature measurement value T MP which is dependent on an intensity of the incident infrared radiation, and - a closure mechanism for suppressing an incidence of infrared radiation onto the infrared detector array, wherein the method comprises at least the following steps: - determining the temperature measurement values T MP of a plurality of measurement pixels; - correcting temperature measurement values T MP by in each case a pixel-associated temperature drift component T drift, wherein - an incidence of infrared radiation onto the infrared detector array is at least temporarily suppressed by means of the closure mechanism of the infrared measurement system (10, 10a) while temperature measurement values T MP blind are being established, wherein the temperature drift components T drift, by which the temperature measurement values T MP shift in time-dependent fashion, are determined using temperature measurement values T MP blind, wherein a temperature drift behaviour m MP of the measurement pixels is determined from temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift, characterized in that the temperature drift behaviour m MP of the measurement pixels is determined as a constant of proportionality between initial measurement deviations T MP,offset of the measurement pixels and temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift. - an infrared detector array with a plurality of measurement pixels, which each provide a measurement signal for establishing a temperature measurement value T MP which is dependent on an intensity of the incident infrared radiation, and - a closure mechanism for suppressing an incidence of infrared radiation onto the infrared detector array, wherein the method comprises at least the following steps: - determining the temperature measurement values T MP of a plurality of measurement pixels; - correcting temperature measurement values T MP by in each case a pixel-associated temperature drift component T drift, - determining the temperature measurement values T MP of a plurality of measurement pixels; - correcting temperature measurement values T MP by in each case a pixel-associated temperature drift component T drift, wherein - an incidence of infrared radiation onto the infrared detector array is at least temporarily suppressed by means of the closure mechanism of the infrared measurement system (10, 10a) while temperature measurement values T MP blind are being established, wherein the temperature drift components T drift, by which the temperature measurement values T MP shift in time-dependent fashion, are determined using temperature measurement values T MP blind, wherein a temperature drift behaviour m MP of the measurement pixels is determined from temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift, characterized in that the temperature drift behaviour m MP of the measurement pixels is determined as a constant of proportionality between initial measurement deviations T MP,offset of the measurement pixels and temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift. - an incidence of infrared radiation onto the infrared detector array is at least temporarily suppressed by means of the closure mechanism of the infrared measurement system (10, 10a) while temperature measurement values T MP blind are being established, wherein the temperature drift components T drift, by which the temperature measurement values T MP shift in time-dependent fashion, are determined using temperature measurement values T MP blind, wherein a temperature drift behaviour m MP of the measurement pixels is determined from temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift, characterized in that the temperature drift behaviour m MP of the measurement pixels is determined as a constant of proportionality between initial measurement deviations T MP,offset of the measurement pixels and temperature measurement values T MP blind for the purposes of determining the temperature drift components T drift.