Shape measuring machine and method of correcting shape measurement error
A shape measuring machine includes a slider that supports a scanning probe. A scale unit detects a displacement of the slider. A tip sphere displacement detection unit detects a displacement of the tip sphere. A calculation unit includes a correction filter including a first and second filters and an adder, and calculates a measurement value from the displacements of the slider and the tip sphere. The first filter corrects the displacement of the slider based on a frequency transfer characteristic from the scale unit to the tip of the slider. The second filter outputs a value that is obtained by correcting a value corrected by the first filter based on a frequency transfer characteristic from the tip of the slider to the tip sphere as the correction value. The adder outputs a measurement value obtained by adding the correction value and the displacement of the tip sphere.
1. A shape measuring machine comprising:
a scanning probe that performs scanning measurement by using a tip sphere disposed at a tip of a stylus attached to one end of the scanning probe, the tip sphere being configured to come into contact with an object to be measured;
a movably-disposed slider that supports the scanning probe at another end of the scanning probe opposite to the tip sphere;
a scale unit that detects a displacement of the slider;
a tip sphere displacement detection unit that detects a displacement of the tip sphere of the scanning probe with respect to a junction between the scanning probe and the slider; and
a calculation unit that calculates a measurement value from the displacement of the slider detected by the scale unit and the displacement of the tip sphere detected by the tip sphere displacement detection unit, wherein
the calculation unit comprises:
a correction filter that outputs a correction value, the correction value being obtained by correcting the displacement of the slider detected by the scale unit based on a frequency transfer characteristic from the scale unit to the tip sphere; and
a first adder that adds the correction value and the displacement of the tip sphere detected by the tip sphere displacement detection unit, and
the correction filter comprises:
a first filter that corrects the displacement of the slider detected by the scale unit based on a frequency transfer characteristic from the scale unit to the junction between the scanning probe and the slider; and
a second filter that outputs a value as the correction value, the value being obtained by correcting a value corrected by the first filter based on a frequency transfer characteristic from the junction between the scanning probe and the slider to the tip sphere.
2. The shape measuring machine according to claim 1 , wherein
the first filter corrects the displacement of the slider detected by the scale unit based on an estimated value of the frequency transfer characteristic from the scale unit to the junction between the scanning probe and the slider, and
the second filter corrects the value corrected by the first filter based on an estimated value of the frequency transfer characteristic from the junction between the scanning probe and the slider to the tip sphere.
3. The shape measuring machine according to claim 2 , wherein
the frequency transfer characteristic is actually measured for each movement direction axis of the slider, and
the estimated value of the frequency transfer characteristic is calculated as a transfer function based on an actual measurement value of a frequency transfer characteristic for each movement direction axis of the slider.
4. The shape measuring machine according to claim 1 , further comprising a storage unit storing a design value indicating a shape of an object to be measured, wherein
the calculation unit further comprises:
a subtracter that outputs a value obtained by subtracting the design value from the displacement of the slider detected by the scale unit as a motion error of the slider to be input to the first filter; and
a second adder that outputs a value obtained by adding the design value to the value output from the second filter as the correction value output from the correction filter.
5. The shape measuring machine according to claim 1 , wherein the second filter comprise:
a third filter that outputs a value obtained by correcting a value corrected by the first filter based on a frequency transfer characteristic from the junction between the scanning probe and the slider to an attachment part of the stylus; and
a fourth filter that outputs a value as the correction value, the value being obtained by correcting a value corrected by the third filter based on a frequency transfer characteristic from the attachment part of the stylus to the tip sphere.
6. A method of correcting a shape measurement error comprising:
detecting, by a scale unit, a displacement of a movably-disposed slider, the slider supporting a scanning probe that performs scanning measurement by using a tip sphere disposed at a tip of a stylus attached to one end of the scanning probe, the slider supporting the scanning probe at another end of the scanning probe opposite to the tip sphere, the tip sphere being configured to come into contact with an object to be measured;
detecting a displacement of the tip sphere of the scanning probe with respect to a junction between the scanning probe and the slider;
correcting the displacement of the slider detected by the scale unit based on a frequency transfer characteristic from the scale unit to the junction between the scanning probe and the slider;
outputting a value as the correction value, the value being obtained by correcting the corrected displacement based on a frequency transfer characteristic from the junction between the scanning probe and the slider to the tip sphere; and
calculating a measurement value by adding the correction value and the displacement of the tip sphere.
7. The method of correcting a shape measurement error according to claim 6 , wherein
the displacement of the slider detected by the scale unit is corrected based on an estimated value of the frequency transfer characteristic from the scale unit to the junction between the scanning probe and the slider, and
the corrected displacement of the slider is corrected based on an estimated value of the frequency transfer characteristic from the junction between the scanning probe and the slider to the tip sphere.
8. The method of correcting a shape measurement error according to claim 7 , wherein
the frequency transfer characteristic is actually measured for each movement direction axis of the slider, and
the estimated value of the frequency transfer characteristic is calculated as a transfer function based on an actual measurement value of a frequency transfer characteristic for each movement direction axis of the slider.
9. The method of correcting a shape measurement error according to claim 6 , wherein
a value obtained by subtracting a design value from the displacement of the slider detected by the scale unit is corrected based on the frequency transfer characteristic from the scale unit to the junction between the scanning probe and the slider, and
a value obtained by adding a value obtained by correcting the corrected value based on the frequency transfer characteristic from the junction between the scanning probe and the slider to the tip sphere and the design value is output as the correction value.
10. The method of correcting a shape measurement error according to claim 6 , wherein
a first value obtained by correcting the corrected displacement based on a frequency transfer characteristic from the junction between the scanning probe and the slider to an attachment part of the stylus is output, and
a value obtained by correcting the first value based on a frequency transfer characteristic from the attachment part of the stylus to the tip sphere is output as the correction value.