Image Layout Grid Search and Interval Adjustment

The imposition area is divided into multiple cells forming a grid structure. The layout searcher places objects by checking cell-by-cell whether profile lines overlap, rather than performing complex two-dimensional optimization calculations. This segmentation transforms a continuous optimization problem into a discrete cell-checking process, dramatically reducing computational complexity and processing time while maintaining efficient space utilization.

The layout searcher performs preliminary placement of objects in non-overlapping cell positions before the cutting process. By ensuring objects are placed in discrete cell positions where profile lines do not overlap, the system prepares the layout in advance to facilitate efficient single-stroke cutting, avoiding the need for complex multi-stroke cutting operations that would result from irregular non-cell-based positioning.

The interval adjuster applies local adjustment only to the interval between adjacent objects, reducing it by a unit smaller than the cell length when profile lines can be brought into partial agreement. This localized precision adjustment maintains the overall cell-based grid structure for efficient packing while achieving high precision alignment exactly where needed at object boundaries, without compromising the global layout efficiency.