Method and system for printing on tilted print medium using printhead

A method for printing on a tilted print medium using a printhead, wherein during printing a print medium is moved relative to the printhead and is printed when passing through the printhead, the print medium is referred to as a untilted print medium before it is tilted, and the print medium is referred to as a tilted print medium when it is tilted;

• multi-column linear print points perpendicular to a moving direction of the print medium are formed on the untilted print medium by the printhead, and the printhead is provided with a plurality of inkjet holes corresponding to the print points, the method comprises steps of:
• S1) acquiring a tilted state of the tilted print medium, including a tilted direction and a tilted angle α relative to the moving direction;
• S2) acquiring a print start point Z0 on the tilted print medium;
• S3) starting print, by the printhead, from the start point Z0 and continuously translating the printhead toward a side of the tilted print medium opposite to a tilted side in a direction perpendicular to the moving direction of the tilted print medium, and controlling one or more inkjet holes to delay jetting ink, according to the tilted state of the tilted print medium, in a direction parallel to the moving direction of the tilted print medium;
• and
• S4) forming a complete pattern on the tilted print medium, wherein the complete pattern is not deformed due to the tilted print medium,
• wherein the tilted print medium is moved relative to the printhead at a speed VX and is printed as passing through the printhead, in the step S3, the printhead is continuously translated toward the side of the tilted print medium opposite to the tilted side with a speed VY relative to the tilted print medium in the direction perpendicular to the moving direction of the tilted print medium, and the plurality of the inkjet holes forming each column of the print points on the tilted print medium are configured to jet ink with a sequential time delay of Δt from the side opposite to the tilted side to the other side;
• and wherein VY and Δt are set according to α,
• wherein a print point closest to the printhead in each column of print points mapped on the tilted print medium is marked as point A1, and a print point farthest from the point A1 in the same column is marked as point A2, a distance between the point A1 and point A2 in the direction perpendicular to the moving direction of the tilted print medium is marked as ω, and the number of a column of inkjet holes corresponding to each column of print points is N, it is satisfied that,
• V
• Y
• =
• V
• X
• ⁢
• tan
• ⁢
• α
• ,
• Δ
• ⁢
• t
• =
• -
• ω
• ⁢
• sin
• ⁢
• α
• V
• X
• (
• N
• -
• 1
• )
• ,
• wherein the printhead is provided with multiple columns of inkjet holes with different spacing or spacing between the adjacent inkjet holes in the printhead is adjustable, the spacing between the adjacent inkjet holes in the plurality of inkjet holes forming each column of the print points on the untilted print medium is marked as L1, a time interval of the print points closest to the printhead in the adjacent column of print points on the tilted print medium printed by the printhead is set as ΔT′=ΔT cos α prior to the step S3, and the spacing of the inkjet holes is selected or the spacing of the inkjet holes is adjusted as L1=VX ΔT sin α+L1 cos α, wherein the ΔT is an inkjet interval for printing print points in adjacent columns on the untilted print medium.