The Missing GAP: From Solving Square Jigsaw Puzzles to Handling Real World Archaeological Fragments
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Abstract (arXiv)
Jigsaw puzzle solving has been an increasingly popular task in the computer vision research community. Recent works have utilized cutting-edge architectures and computational approaches to reassemble groups of pieces into a coherent image, while achieving increasingly good results on well established datasets. However, most of these approaches share a common, restricting setting: operating solely on strictly square puzzle pieces. In this work, we introduce GAP, a set of novel jigsaw puzzles datasets containing synthetic, heavily eroded pieces of unrestricted shapes, generated by a learned distribution of real-world archaeological fragments. We also introduce PuzzleFlow, a novel ViT and Flow-Matching based framework for jigsaw puzzle solving, capable of handling complex puzzle pieces and demonstrating superior performance on GAP when compared to both classic and recent prominent works in this domain.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 33 of its 73 references that are in the map. First posted on arXiv 12 May 2026.
Builds on
33 of 73 references.
References · 33
- 2017Attention Is All You Needcited by 60,361
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- 2022Flow Matching for Generative Modelingcited by 5,702
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- 2019Domain Generalization by Solving Jigsaw Puzzlescited by 450
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- 2022Masked Jigsaw Puzzle: A Versatile Position Embedding for Vision Transformerscited by 33
- 2024DiffAssemble: A Unified Graph-Diffusion Model for 2D and 3D Reassemblycited by 33
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- 2020Deepzzle: Solving Visual Jigsaw Puzzles with Deep Learning andShortest Path Optimizationcited by 20
- 2024Re-assembling the past: The RePAIR dataset and benchmark for real world 2D and 3D puzzle solvingcited by 19
21 more
- 2021JigsawGAN: Auxiliary Learning for Solving Jigsaw Puzzles with Generative Adversarial Networkscited by 16
- 2018Solving Archaeological Puzzlescited by 15
- 2019Solving Jigsaw Puzzles with Eroded Boundariescited by 14
- 2017A Genetic Algorithm-Based Solver for Very Large Jigsaw Puzzlescited by 13
- 2024Solving Masked Jigsaw Puzzles with Diffusion Vision Transformerscited by 11
- 2015Solving Jigsaw Puzzles with Linear Programmingcited by 10
- 2020Pictorial and apictorial polygonal jigsaw puzzles from arbitrary number of crossing cutscited by 10
- 2022GANzzle: Reframing jigsaw puzzle solving as a retrieval task using a generative mental imagecited by 10
- 2024A Survey on Computational Solutions for Reconstructing Complete Objects by Reassembling Their Fractured Partscited by 9
- 2018JigsawNet: Shredded Image Reassembly using Convolutional Neural Network and Loop-based Compositioncited by 7
- 2023Multi-Phase Relaxation Labeling for Square Jigsaw Puzzle Solvingcited by 7
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- 2017DNN-Buddies: A Deep Neural Network-Based Estimation Metric for the Jigsaw Puzzle Problemcited by 6
- 2025Pairwise Alignment & Compatibility for Arbitrarily Irregular Image Fragmentscited by 6
- 2019A Novel Hybrid Scheme Using Genetic Algorithms and Deep Learning for the Reconstruction of Portuguese Tile Panelscited by 5
- 2025ERL-MPP: Evolutionary Reinforcement Learning with Multi-head Puzzle Perception for Solving Large-scale Jigsaw Puzzles of Eroded Gapscited by 5
- 2022TEN: Twin Embedding Networks for the Jigsaw Puzzle Problem with Eroded Boundariescited by 4
- 2025VLHSA: Vision-Language Hierarchical Semantic Alignment for Jigsaw Puzzle Solving with Eroded Gapscited by 4
- 2025ReassembleNet: Learnable Keypoints and Diffusion for 2D Fresco Reconstructioncited by 2
- 2025Solving Convex Partition Visual Jigsaw Puzzlescited by 1
- 2026Solving Jigsaw Puzzles in the Wild: Human-Guided Reconstruction of Cultural Heritage Fragmentscited by 1
Built on by
Citing papers per year: 2026: 3.
3 papers.
- 2026JigSync: Gauge-Resolved Synchronization for Jigsaw Reassembly under Unknown Piece Orientationcited by 0
- 2026An Invariant Tangent-Angle Descriptor and a Band U-Net for 2D Fragment Adjacency Predictioncited by 0
- 2026Fix the Match, Not the Solver: STITCH -- a Self-Supervised Compatibility Measure for Eroded Visual Puzzlescited by 0
- 2026Fix the Match, Not the Solver: STITCH -- a Self-Supervised Compatibility Measure for Eroded Visual Puzzles9 Oct 2026
- 2026An Invariant Tangent-Angle Descriptor and a Band U-Net for 2D Fragment Adjacency Prediction7 Oct 2026
- 2026JigSync: Gauge-Resolved Synchronization for Jigsaw Reassembly under Unknown Piece Orientation16 Sep 2026
Similar, not cited
Close in wording, no citation either way
- 2025Benchmarking Content-Based Puzzle Solvers on Corrupted Jigsaw Puzzles
- 2025PuzLM: Solving Jigsaw Puzzles with Sequence-to-Sequence Language Models
- 2026JigShape: Evaluating Visual-Geometric Reasoning in VLMs through Jigsaw Puzzles
- 2025GARF: Learning Generalizable 3D Reassembly for Real-World Fractures
- 2024PuzzleFusion++: Auto-agglomerative 3D Fracture Assembly by Denoise and Verify
- 2024An archaeological Catalog Collection Method Based on Large Vision-Language Models
- 2025Jigsaw-Puzzles: From Seeing to Understanding to Reasoning in Vision-Language Models
- 2025PuzzleBench: A Fully Dynamic Evaluation Framework for Large Multimodal Models on Puzzle Solving