Image forming apparatus, non-transitory computer readable medium, and image forming method of switching an orientation of a recording medium

An image forming method comprising:

• forming a toner image;
• rotating a fixing unit around a central axis extending in a first direction, the fixing unit including a surface fixing the toner image formed based on image information to form the toner image in a rectangular region of a recording medium and transporting the recording medium in a second direction that is perpendicular to the first direction by contacting the recording medium;
• selecting an image formation corresponding to an orientation having a smallest integration value selected from a first integration value and a second integration value,
• the first integration value being integration values of an area of a portion of the surface of the fixing unit that first contacts the toner image when a side of the rectangular region is parallel to the first direction, when fixing is performed, and
• the second integration value being integration values of an area of a portion of the surface of the fixing unit that first contacts the toner image when the side of the rectangular region is perpendicular to a second direction, when fixing is performed, wherein
• the circumference of the surface in a rotation direction is shorter than at least one of the length of the toner image in the first direction and the length of the toner image in the second direction;
• dividing, using the circumference, a piece of image information representing the toner image into a plurality of pieces of unit image information in the first direction and the second direction;
• dividing each of the plurality of pieces of unit image information into a grid that forms a plurality of division areas to each of which one of different values is assigned depending on the presence or absence of an image to be formed;
• obtaining the integration values by obtaining logical sums of division areas of the plurality of pieces of unit image information along each of the first direction and the second direction;
• and
• selecting an image formation corresponding to an orientation that corresponds to a smallest one of the integration values, each of the logical sums being obtained from corresponding ones of the division areas of the plurality of pieces of unit image information.

An image forming apparatus comprising:

• a rotating fixing unit that has a surface, the surface fixing a toner image on a recording medium, which is being transported, by contacting the recording medium;
• a switching unit that switches between transportation directions in which the recording sheet is transported such that an orientation of a predetermined side of the recording medium with respect to the fixing unit matches either an orientation corresponding to a first direction in which the central axis of the fixing unit extends or an orientation corresponding to a second direction that is perpendicular to the first direction;
• and
• a control unit that controls the switching unit such that the recording medium is transported in a direction corresponding to a smallest one of integration values obtained along the first direction and the second direction, the integration values being integration values of an area of a portion of the surface of the rotating fixing unit that first contacts a toner image when fixing is performed, wherein
• the circumference of the surface in a rotation direction is shorter than at least one of the length of the toner image in the first direction and the length of the toner image in the second direction, and
• the control unit divides, using the circumference, a piece of image information representing the toner image into a plurality of pieces of unit image information in the first direction and the second direction, divides each of the plurality of pieces of unit image information into a grid that forms a plurality of division areas to each of which one of different values is assigned depending on the presence or absence of an image to be formed, obtains the integration values by obtaining logical sums of division areas of the plurality of pieces of unit image information along each of the first direction and the second direction, and controls the switching unit such that the recording medium is transported in a direction corresponding to a smallest one of the integration values, each of the logical sums being obtained from corresponding ones of the division areas of the plurality of pieces of unit image information.