Approximate Symmetry Detection in Partial 3D Meshes

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Shape Completion Using 3D-Encoder-Predictor CNNs and Shape Synthesis (2016, background): “For instance, many works detect symmetries in meshes or point clouds, and use them to ﬁll in missing data [41, 23, 30, 36, 39].”
ScanComplete: Large-Scale Scene Completion and Semantic Segmentation for 3D Scans (2017, methodology): “Other shape completion methods have been developed, including approaches that leverage symmetries in meshes or point clouds [40, 19, 26, 34, 37] or part-based structural priors derived from a database [38].”
PCN: Point Completion Network (2018, methodology): “Symmetry-driven methods [29, 30, 35, 36, 46, 52, 55] identify symmetry axes and repeating regular structures in the partial input in order to copy parts from observed regions to unobserved regions.”
3D Object Reconstruction from a Single Depth View with Adversarial Learning (2017, unknown): “[35] uses plane fitting to complete small missing regions, while [32] [34] [40] [48] [52] [56] applies shape symmetry to fill in holes.”
3D Object Dense Reconstruction from a Single Depth View (2018, methodology): “[25] uses plane fitting to complete small missing regions, while [26] [27] [28] [29] [30] apply shape symmetry to fill in holes.”