Sewing machine

1. A sewing machine comprising:

a bed;

a projector configured to project an image toward the bed onto at least a guarantee area;

a storage medium; and

a controller configured to:

control the projector to project the image toward the bed onto a maximum area;

determine, based on a position of the image projected onto the maximum area, first world coordinates representing, in a real space coordinate system, a rectangular area contained in the maximum area;

determine, based on the first world coordinates, second world coordinates representing, in the real space coordinate system, a target area containing at least the guarantee area; and

store the second world coordinates in the storage medium.

2. The sewing machine according to claim 1 , wherein the bed includes a needle plate, and the guarantee area contains at least a portion of the needle plate.

3. The sewing machine according to claim 1 , wherein the bed has a needle hole, and the guarantee area contains at least the needle hole.

4. The sewing machine according to claim 1 , further comprising a capture unit configured to capture an image of a capture area,

wherein the controller is configured to:

control the capture unit to capture, as a first captured image, the image projected by the projector onto the maximum area; and

determine, based on the first captured image, a first parameter for indicating the maximum area in the real space coordinate system,

wherein the first world coordinates are determined based on the position of the image projected onto the maximum area and the first parameter.

5. The sewing machine according to claim 4 , wherein the controller is configured to:

control the capture unit to capture, as a second captured image, a reference image to determine the real space coordinate system; and

determine, based on the second captured image, a second parameter for indicating the capture area in the real space coordinate system,

wherein the first parameter for indicating the maximum area in the real space coordinate system is determined based on the second parameter.

6. The sewing machine according to claim 1 , further comprising a sewing needle configured to move down to a needle drop position on the bed,

wherein the guarantee area is defined relative to the needle drop position.

7. The sewing machine according to claim 1 ,

wherein the target area is rectangular and has first, second, third, and fourth target-area sides, and the guarantee area is rectangular and has first, second third, and four guarantee-area sides, and the rectangular area has first, second, third, and fourth rectangular-area sides, and

wherein the controller is configured to determine the second world coordinates based on the first world coordinates by:

determining the first target-area side so as to overlap and extend along the first guarantee-area side;

determining the second target-area side connected to an end of the first target-area side, so as to overlap and extend along the second guarantee-area side connected to an end of the first guarantee-area side;

determining the third target-area side opposite to the first target-area side, so as to be located at a position away by a first distance from the first rectangular-area side adjacent to the first guarantee area side, toward the second rectangular-area side opposite to the first rectangular-area side; and

determining the fourth target-area side opposite to the second target-area side, so as to be located at a position away by a second distance from the third rectangular-area side adjacent to the second guarantee-area side, toward the fourth rectangular-area side opposite to the third rectangular-area side.

8. The sewing machine according to claim 1 , further comprising a moving unit configured to move an embroidery hoop for holding a workpiece,

wherein the controller controls the moving unit to move the embroidery hoop, based on the second world coordinates stored in the storage medium, such that a center of the target area coincides with a center of a sewable range in the embroidery hoop.

9. The sewing machine according to claim 1 , wherein the controller is configured to:

determine whether the target area is contained in the rectangular area; and

upon determining that the target area is not contained in the rectangular area, notify of the determination,

wherein the second world coordinates are determined upon determination that the target area is contained in the rectangular area.