Raster-based mathematical morphology for cutting and packing problems

Fernanda Miyuki Yamada; Hiroki Takahashi; Harlen Costa Batagelo; João Paulo Gois

doi:10.1117/12.2590997

13 March 2021 Raster-based mathematical morphology for cutting and packing problems

Fernanda Miyuki Yamada, Hiroki Takahashi, Harlen Costa Batagelo, João Paulo Gois

Author Affiliations +

Proceedings Volume 11766, International Workshop on Advanced Imaging Technology (IWAIT) 2021; 1176611 (2021) https://doi.org/10.1117/12.2590997
Event: International Workshop on Advanced Imaging Technology 2021 (IWAIT 2021), 2021, Online Only

Abstract

In this work, we propose a heuristic to solve two-dimensional cutting and packing problems using a raster representation of shapes and container. We use discrete mathematical morphology operators and representations to prevent overlaps and to reduce the gaps between shapes. During the shapes placement, our method executes a continuous snapping of polygons to bring recently positioned shapes closer to others and to the container boundaries, thereby making our method a hybrid method that takes advantage of different techniques in the continuous and discrete domains. The results show that our approach is competitive to other works in the literature, since it can find optimal solutions for 7 instances among the 15 instances included in our dataset, the same number as reported by other works in the literature.

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Fernanda Miyuki Yamada, Hiroki Takahashi, Harlen Costa Batagelo, and João Paulo Gois "Raster-based mathematical morphology for cutting and packing problems", Proc. SPIE 11766, International Workshop on Advanced Imaging Technology (IWAIT) 2021, 1176611 (13 March 2021); https://doi.org/10.1117/12.2590997

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