YAW measurement by spectral analysis
Some embodiments relate to a method of measuring a magnitude of a yaw angle of print head(s) or of a supporting print-bar thereof relative to cross-print direction. In some embodiments, a 1D-representation (1D-rep) of an ink-calibration image is transformed into the frequency domain (e.g. by FFT) characterized by peak profile. The yaw angle magnitude may be computed from relative energies of a primary and secondary peak of the peak profile of the frequency domain.
1. A method of measuring a magnitude of a yaw angle of print head(s) or of a supporting print-bar thereof relative to cross-print direction, the method comprising:
a. depositing ink droplets from print head(s) of the print-bar onto a target surface to form a calibration ink-image thereon;
b. optically imaging the calibration ink-image to acquire a 2D digital calibration image;
c. computing a 1D-representation (1D-rep) of the 2D digital calibration image by averaging the 2D digital calibration image in a pre-determined direction;
d. transforming the 1D-rep into a frequency domain representation characterized by a peak profile;
e. analyzing the frequency domain representation to compute an energy magnitude(s) of one or more secondary peaks of the peak profile;
f. computing a measured yaw angle magnitude from the energy magnitude(s) of the secondary peak(s).
2. The method of claim 1 wherein the measured yaw angle magnitude is computed from the combination of (A) the energy magnitude(s) of the secondary peak(s) and (B) a yaw:peak-energy correlation function between yaw magnitudes and absolute or relative secondary peak energy values.
3. The method of claim 1 wherein the transforming of the 1D-rep into the frequency domain representation comprises subjecting the 1D-rep to a fast Fourier transformation (FFT).
4. The method of claim 1 wherein the pre-determined direction is the print direction.
5. The method of claim 1 wherein (i) a parameter describing relative energy-magnitudes of two or more secondary peaks is computed from the peak profile and (ii) the yaw angle magnitude is measured and/or the yaw of the print head is adjusted according to the parameter describing the relative energy-magnitudes.
6. The method of claim 5 wherein the parameter describing the relative energy-magnitudes is a ratio between respective energies of first and second secondary peaks of the peak profile.
7. A method of measuring a magnitude of a yaw angle of print head(s) or of a supporting print-bar thereof relative to cross-print direction, the method comprising:
a. depositing ink droplets from print head(s) of the print-bar onto a target surface to form a calibration ink-image thereon;
b. optically imaging the calibration ink-image to acquire a 2D digital calibration image;
c. computing a 1D-representation (1D-rep) of the 2D digital calibration image by averaging the 2D digital calibration image in a pre-determined direction;
d. transforming the 1D-rep into a frequency domain representation characterized by a peak profile;
e. analyzing the frequency domain representation to compute an energy magnitude(s) of one or more secondary peaks of the peak profile;
f. adjusting a yaw of the print head or of a supporting print bar thereof by an adjustment angle that is computed from the energy magnitude(s) of the one of more secondary peak(s).
8. The method of claim 7 wherein the adjustment angle by which the print head or print bar is adjusted is computed from the combination of the (A) the energy magnitude(s) of the secondary peak(s) and (B) the yaw:peak-energy correlation function.
9. The method of claim 7 wherein a measured yaw angle magnitude is computed from the energy magnitude(s) of the secondary peak(s), and the adjustment angle is computed to have a magnitude matching the measured yaw angle magnitude.
10. The method of claim 7 wherein the transforming of the 1D-rep into the frequency domain representation comprises subjecting the 1D-rep to a fast Fourier transformation (FFT).
11. The method of claim 7 wherein (i) a parameter describing relative energy-magnitudes of two or more secondary peaks is computed from the peak profile and (ii) the yaw angle magnitude is measured and/or the yaw of the print head is adjusted according to the parameter describing the relative energy-magnitudes.
12. The method of claim 11 wherein the parameter describing the relative energy-magnitudes is a ratio between respective energies of first and second secondary peaks of the peak profile.
13. The method of claim 7 wherein the calibration ink-image is formed by printing a digital input image comprising a plurality of parallel lines.
14. The method of claim 7 wherein the pre-determined direction is the print direction.
15. The method of claim 7 wherein the calibration ink-image is optically imaged on the target surface.
16. The method of claim 7 wherein the calibration ink-image is optically imaged after being transferred away from the target surface.
17. A printing system comprising:
a. at least one of (i) an intermediate transfer member (ITM); (ii) a support thereof and (iii) a substrate-transport system (STS), the ITM or support thereof or the STS defining print and cross-print directions for the printing system;
b. an image-forming station comprising at least one print bar that is configured, when loaded with a print head, to deposit ink droplets onto a target surface to form a calibration image thereon,
c. imaging apparatus for optically imaging the calibration ink-image to acquire a 2D digital calibration image;
d. data-processing circuitry for:
i. computing a 1D-representation (1D-rep) of the 2D digital calibration image by averaging the 2D digital calibration image in a pre-determined direction;
ii. transforming the 1D-rep into a frequency domain representation characterized by a peak profile;
iii. analyzing the frequency domain representation to compute an energy magnitude(s) of one or more secondary peaks of the peak profile; and
iv. computing a measured yaw angle magnitude from the energy magnitude(s) of the secondary peak(s).
18. The system of claim 17 further comprising:
a mechanized rotation system responsive to output of the data-processing circuitry for automatically rotating the print bar or loaded print head by an adjustment angle whose magnitude equals the computed measured yaw magnitude.
19. The system of claim 18 wherein the mechanized rotation system comprises at least one of an electrical motor and a servo.
20. The system of claim 17 , wherein the target surface is selected from the group consisting of (i) an external surface of the ITM and (ii) substrate that is transported by the STS.