A method and an infrared measuring system for determining a temperature distribution of a surface without contact includes an infrared detector array with a detector array substrate and respective pluralities of measuring pixels and reference pixels. The measuring pixels are each connected to the detector array substrate with a first thermal conductivity, are sensitive to infrared radiation, and each provide a measurement signal for determining a temperature measurement value that depends on the intensity of the incident infrared radiation. The reference pixels are each connected to the detector array substrate with a second thermal conductivity and each provide a measurement signal for determining a temperature measurement value. The reference pixels are implemented as blind pixels that are substantially insensitive to infrared radiation. The temperature measurement values of the measuring pixels are corrected by a pixel-associated temperature drift component determined with reference to the temperature measurement values of the reference pixels.