... SIGGRAPH ( ) Photoshop : People are looking at a presentation about very difficult math, particularly about geometry. There are about ten people, but only some of them can understand the presentation. So, there are three people in front of the white board discussing eagerly about the presentation, while the other people get bored. ( ) 10 3 6
l Differentiable Surface Triangulation [Rakotosaona et al., TOG 2021] l Neural Mesh Simplification [Potamias et al., CVPR 2022] l Learning Direction Fields for Quadrangulation [Dielen et al., SGP 2021] 13 Remeshing & Simplification [Rakotosaona et al., TOG 2021] [Dielen et al., SGP 2021]
: 1: 2: ([Ohtake et al., VMV 2022] ) , 線 15 Smoothing & Denoising l NN , ○ DNF-Net [Li et al., TVCG 2020] ○ GCN-Denoiser [Shen et al., TOG 2022]) l ○ GeoBi-GNN [Zhang et al., CAD 2022] l Deep Image Prior [Ulyanov et al., CVPR 2018] , . End-to-End . ○ Dual-DMP [Hattori et al., ECCV 2022]) [Hattori et al., ECCV 2022]
l Functional Map , ○ Deep Functional Maps [Litany et al., ICCV 2017] ○ Weakly Supervised DFM [Sharma and Ovsjanikov 2020], etc. Parameterization 16 [Litany et al., ICCV 2017] l Poincare disk 0, 1 ! ○ AtlasNet [Groueix et al., CVPR 2018] ○ Neural Shape Maps [Morreale et al., CVPR 2021] ○ DA Wand [Liu et al., CVPR 2023], etc. [Morreale et al., CVPR 2021]
l , . ( ) l , DMP-Inpaint [Hattori et al., arXiv 2023] Model Repair 17 Hattori et al., “Learning Self-Prior for Mesh Inpainting Using Self-Supervised GCNs,” arXiv, 2023.
Pooling , . , ( , ). 22 : Graph Pooling l Gated Global Pooling [Li et al., ICLR 2015] softmax global pooling l gPool Layer [Gao and Ji, ICML 2019] top-k , , l diffpool Layer , softmax l Eigen Pooling [Ma et al., SIGKDD 2019] , [Ma et al., SIGKDD 2019]
GraphSAGE [Hamilton et al., NeurIPS 2017] l l Mean, LSTM, Max-pooling aggregators : 1. 30 Graph Attention Network [Veličković et al., ICLR 2017] l Attention . Heterogeneous Graph Transformer [Hu et al., WWW 2020] l , , Transformer GAT [Hu et al., WWW 2020] [Hamilton et al., NIPS 2017]
: MPNN , . → 1. 32 l ACNN [Boscaini et al., NeurIPS 2016], GCNN [Masci et al., 3DRR 2015], MoNet [Monti et al., CVPR 2017], FeaStNet [Verma et al., CVPR 2018], etc. l ZerNet [Sun et al., CGF 2020] l Gauge Equivalent Mesh CNNs [de Haan et al., ICLR 2021] l Gauge Equivalent Transformer [He et al., NeurIPS 2021], etc. [Monti et al., CVPR 2017]
Laplacian l CayleyNets [Levie et al., IEEE Trans SP 2018] l ChebNet II [He et al., NeurIPS 2022] l HodgeNet [Smirnov & Solomon, TOG 2021], etc. : 2. 53 l DiffusionNet [Sharp et al., TOG 2022] l Laplacian Mesh Transformer [Li et al., ECCV 2022] l Laplacian Pooling Network [Qiao et al., TVCG 2022] l Laplacian2Mesh [Dong et al., TVCG 2023]
MeshCNN l Primal-Dual Mesh CNN [Milano et al., NeurIPS 2020] l HalfedgeCNN [Ludwig et al., CGF 2023] l PicassoNet++ [Lei et al., IEEE Trans. NN, 2023] l Vertex/Face-based MeshCNN [Perez et al., TVCG 2023] : 3. 69 [Milano et al., NeurIPS 2020] Subdivision l SubdivNet [Hu et al., TOG 2022] l SPMM-Net [Shi et al., CAD 2023]
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