System for determining a thermal image, comprising: a detector array, a processor unit, and a signal interface, wherein the detector array comprises a multiplicity of bolometric measurement cells and a main body with a predetermined thermal heat capacity, wherein each measurement cell is directly or indirectly connected to the main body via an associated connection with a predetermined thermal conductivity, the connection being such that heat is transferable between each measurement cell and the main body, wherein each measurement cell is designed to capture infrared radiation I in a capturing region assigned to the respective measurement cell and is designed as a time delay member with a time constant T for generating a measurement value M which represents the captured infrared radiation I and which represents a temperature in the capturing region of the respective measurement cell and which comprises a measurement value error caused by a heat flux Q via the connection of the respective measurement cell to the main body, wherein the detector array is designed to periodically capture infrared radiation I by means of the associated measurement cells, to generate a measurement signal S which represents the measurement values M generated by the measurement cells, and to transfer the measurement signal S to the processor unit, wherein the processor unit is configured to determine a body heat stored by the main body on the basis of the heat capacity, the thermal conductivity and, either directly or indirectly, the measurement signal S, wherein the processor unit is configured to determine, for each current measurement value M of each measurement cell, a prediction value P, compensated by the time delay of the respective measurement cell, on the basis of the current measurement value M of the respective measurement cell and at least one temporally preceding measurement value M from the same measurement cell, with the result that the respective prediction value P represents a current predicted temperature, compensated by the time delay, in the capturing region of the respective measurement cell, wherein the processor unit is configured to determine, for each current prediction value P, a temperature value, corrected by the measurement value error, in the capturing region of the respective measurement cell on the basis of the respective prediction value P, the thermal conductivity and, either directly or indirectly, the current value of the body heat, and wherein the processor unit is configured to determine a thermal image on the basis of the current temperature values for the capturing regions of the measurement cells, and wherein the signal interface is designed to provide an image signal E which represents the thermal image. a detector array, a processor unit, and a signal interface, wherein the detector array comprises a multiplicity of bolometric measurement cells and a main body with a predetermined thermal heat capacity, wherein each measurement cell is directly or indirectly connected to the main body via an associated connection with a predetermined thermal conductivity, the connection being such that heat is transferable between each measurement cell and the main body, wherein each measurement cell is designed to capture infrared radiation I in a capturing region assigned to the respective measurement cell and is designed as a time delay member with a time constant T for generating a measurement value M which represents the captured infrared radiation I and which represents a temperature in the capturing region of the respective measurement cell and which comprises a measurement value error caused by a heat flux Q via the connection of the respective measurement cell to the main body, wherein the detector array is designed to periodically capture infrared radiation I by means of the associated measurement cells, to generate a measurement signal S which represents the measurement values M generated by the measurement cells, and to transfer the measurement signal S to the processor unit, wherein the processor unit is configured to determine a body heat stored by the main body on the basis of the heat capacity, the thermal conductivity and, either directly or indirectly, the measurement signal S, wherein the processor unit is configured to determine, for each current measurement value M of each measurement cell, a prediction value P, compensated by the time delay of the respective measurement cell, on the basis of the current measurement value M of the respective measurement cell and at least one temporally preceding measurement value M from the same measurement cell, with the result that the respective prediction value P represents a current predicted temperature, compensated by the time delay, in the capturing region of the respective measurement cell, wherein the processor unit is configured to determine, for each current prediction value P, a temperature value, corrected by the measurement value error, in the capturing region of the respective measurement cell on the basis of the respective prediction value P, the thermal conductivity and, either directly or indirectly, the current value of the body heat, and wherein the processor unit is configured to determine a thermal image on the basis of the current temperature values for the capturing regions of the measurement cells, and wherein the signal interface is designed to provide an image signal E which represents the thermal image.