Against Expectations: A Simple Greedy Heuristic Outperforms Advanced Methods in Bitmap Decomposition
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| Publicado no: | Electronics vol. 14, no. 13 (2025), p. 2615-2653 |
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| Autor principal: | |
| Publicado em: |
MDPI AG
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| Assuntos: | |
| Acesso em linha: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| Resumo: | Partitioning rectangular and rectilinear shapes in n-dimensional binary images into the smallest set of axis-aligned n-cuboids is a fundamental problem in image analysis, pattern recognition, and computational geometry, with applications in object detection, shape simplification, and data compression. This paper introduces and evaluates four deterministic decomposition methods: pure greedy selection, greedy with backtracking, greedy with a priority queue, and an iterative integer linear programming (IILP) approach. These methods are benchmarked against three established baseline techniques across 13 diverse 1D–4D images (up to 8 × 8 × 8 × 8 elements), featuring holes, concavities, and varying orientations. Surprisingly, the simplest approach—a purely greedy heuristic selecting the largest unvisited region at each step—consistently achieved optimal or near-optimal decompositions, even for complex images, and maintained optimality under rotation without post-processing. By contrast, the more sophisticated methods (backtracking, prioritization, and IILP) exhibited trade-offs between speed and quality, with IILP adding overhead without superior results. Runtime testing showed IILP was on average ~37× slower than the fastest greedy method (ranging from ~3× to 100× slower). These findings highlight that a well-designed greedy strategy can outperform more complex algorithms for practical binary shape decomposition, offering a compelling balance between computational efficiency and solution quality in pattern recognition and image analysis. |
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| ISSN: | 2079-9292 |
| DOI: | 10.3390/electronics14132615 |
| Fonte: | Advanced Technologies & Aerospace Database |