Coordinate measuring machine for dimensionally measuring a measurement object situated in a measurement volume of the coordinate measuring machine, comprising: - a measuring head configured to capture dimensional measurement data of the measurement object; - a guide structure configured to guide the measuring head and/or the measurement object and to move same in the measurement volume, wherein the guide structure is assigned at least one measuring transducer configured to capture position data of the guide structure, on the basis of which a pose of the measuring head can be calculated; - a plurality of temperature sensors (34, 36) configured to capture temperature data concerning the measurement volume; and - an evaluation and control unit configured to process the dimensional measurement data and the position data and to correct the dimensional measurement data and/or the position data on the basis of the temperature data by calculating a temperature-dictated deformation of the guide structure or a temperature-dictated deformation of the guide structure and of the measuring head at a plurality of defined points within the measurement volume, wherein during the calculation for each of the plurality of defined points temperature-dictated state changes are calculated on the basis of thermoelastic coefficients which define the effects of the temperature data on three translational degrees of freedom and three rotational degrees of freedom at the respective point, characterized in that each of the plurality of defined points is assigned one thermoelastic coefficient per degree of freedom and temperature difference determined from the temperature data, and in that the evaluation and control unit is configured to calculate the temperature-dictated deformation of the guide structure with the mathematical inclusion of a kinematic model of the guide structure, wherein the kinematic model models the guide structure as a mechanical system constructed from a plurality of rigid bodies connected to one another via a respective elastic node (K 1, K 2), wherein the nodes (K 1, K 2) of the kinematic model are arranged at the defined points. - a measuring head configured to capture dimensional measurement data of the measurement object; - a guide structure configured to guide the measuring head and/or the measurement object and to move same in the measurement volume, wherein the guide structure is assigned at least one measuring transducer configured to capture position data of the guide structure, on the basis of which a pose of the measuring head can be calculated; - a plurality of temperature sensors (34, 36) configured to capture temperature data concerning the measurement volume; and - an evaluation and control unit configured to process the dimensional measurement data and the position data and to correct the dimensional measurement data and/or the position data on the basis of the temperature data by calculating a temperature-dictated deformation of the guide structure or a temperature-dictated deformation of the guide structure and of the measuring head at a plurality of defined points within the measurement volume, wherein during the calculation for each of the plurality of defined points temperature-dictated state changes are calculated on the basis of thermoelastic coefficients which define the effects of the temperature data on three translational degrees of freedom and three rotational degrees of freedom at the respective point,