Mathematics (May 2021)

Overlap Detection in 2D Amorphous Shapes for Paper Optimization in Digital Printing Presses

  • Yainier Labrada-Nueva,
  • Martin H. Cruz-Rosales,
  • Juan Manuel Rendón-Mancha,
  • Rafael Rivera-López,
  • Marta Lilia Eraña-Díaz,
  • Marco Antonio Cruz-Chávez

DOI
https://doi.org/10.3390/math9091033
Journal volume & issue
Vol. 9, no. 9
p. 1033

Abstract

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Paper waste in the mockups design with regular, irregular, and amorphous patterns is a critical problem in digital printing presses. Paper waste reduction directly impacts production costs, generating business and environmental benefits. This problem can be mapped to the two-dimensional irregular bin-packing problem. In this paper, an iterated local search algorithm using a novel neighborhood structure to detect overlaps between amorphous shapes is introduced. This algorithm is used to solve the paper waste problem, modeled as one 2D irregular bin-packing problem. The experimental results show that this approach works efficiently and effectively to detect and correct the overlaps between regular, irregular, and amorphous figures.

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