Abstract: A method includes operating a tool of a cutting machine to form a shape at a material surface. The shape has an x-fiducial at an estimated x-coordinate at the material surface and a y-fiducial at an estimated y-coordinate at the material surface. With the shape weeded from the material surface, the method includes operating a sensor of the cutting machine to capture sensor data representative of the material surface. Based on the captured sensor data, the method includes determining a measured x-coordinate of the x-fiducial at the material surface and a measured y-coordinate of the y-fiducial at the material surface. Based on a comparison of the estimated x-coordinate and the measured x-coordinate of the x-fiducial and a comparison of the estimated y-coordinate and the measured y-coordinate of the y-fiducial, the method includes determining an x-offset and a y-offset between the tool and the sensor of the cutting machine.