Abstract: The present invention is directed to a method for the material-removing machining of a component for a turbomachine that includes the steps of i) recording a distance image by contact-free measurement of at least one surface of the component that is to be machined; ii) comparing the distance image to a computer model of the component and determining the sites of the component that are to be machined based on deviations between the distance image and the computer model; iii) generating a tool path for the sites of the component that are to be machined; and iv) material-removing machining of the component on the basis of the tool path by spark erosion, laser drilling, or conventional drilling.