Split-and-Merge-Based Genetic Algorithm (SM-GA) for LEGO Brick Sculpture Optimization

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This paper proposes a split-and-merge-based genetic algorithm (SM-GA) for converting a given 3-D voxel model into an LEGO brick sculpture using a minimal number of bricks. The proposed SM-GA is designed to always generate a feasible brick layout in accordance with a given voxel model considering the stability and connectivity between layouts. A novel split-and-merge operator to find the optimal layout is also proposed. To evaluate the effectiveness of the proposed approach, computational and physical experiments are performed. In the computational experiments, the performance of the proposed approach is compared with that of the most recent conventional GA approach. Also, the result of a 3-D physical sculpture made of real LEGO bricks is presented. Compared with the conventional GA-based approach, it is shown that the proposed SM-GA is more effective in finding the near optimal solution to the LEGO brick layout problem.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2018-12
Language
English
Article Type
Article
Citation

IEEE ACCESS, v.6, no.1, pp.40429 - 40438

ISSN
2169-3536
DOI
10.1109/ACCESS.2018.2859039
URI
http://hdl.handle.net/10203/245897
Appears in Collection
EE-Journal Papers(저널논문)
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