MeshCNN swMATH ID: 31207 Software Authors: Hanocka, Rana; Hertz, Amir; Fish, Noa; Giryes, Raja; Fleishman, Shachar; Cohen-Or, Daniel Description: MeshCNN: A Network with an Edge. Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This non-uniformity and irregularity, however, inhibits mesh analysis efforts using neural networks that combine convolution and pooling operations. In this paper, we utilize the unique properties of the mesh for a direct analysis of 3D shapes using MeshCNN, a convolutional neural network designed specifically for triangular meshes. Analogous to classic CNNs, MeshCNN combines specialized convolution and pooling layers that operate on the mesh edges, by leveraging their intrinsic geodesic connections. Convolutions are applied on edges and the four edges of their incident triangles, and pooling is applied via an edge collapse operation that retains surface topology, thereby, generating new mesh connectivity for the subsequent convolutions. MeshCNN learns which edges to collapse, thus forming a task-driven process where the network exposes and expands the important features while discarding the redundant ones. We demonstrate the effectiveness of our task-driven pooling on various learning tasks applied to 3D meshes. Homepage: https://ranahanocka.github.io/MeshCNN/ Source Code: https://github.com/ranahanocka/MeshCNN Related Software: PointNet; U-Net; PyTorch; Pixel2Mesh; Adam; AlexNet; ImageNet; PointCNN; TensorFlow; SCAPE; Tensor2Tensor; COMA; SplineCNN; PointConv; PyG; VoxNet; Keras; ViT; PMTK; PyGeM Cited in: 13 Documents all top 5 Cited by 51 Authors 3 Wang, Wenping 1 Avellan, François 1 Becker, Stephen R. 1 Bordas, Stéphane Pierre Alain 1 Chen, Falai 1 Chen, Shuangmin 1 Clausen, Pascal 1 Cui, Zhiming 1 Deshpande, Saurabh A. 1 Doherty, Kevin 1 Dong, Qiujie 1 Dong, Zhetong 1 Doostan, Alireza 1 Fan, Bo 1 Gao, Junjie 1 Gao, Yi 1 Gong, Xiaoran 1 Gu, Min 1 He, Fazhi 1 Hill, Chris 1 Hua, Jing 1 Komarichev, Artem 1 Lan, Shiwei 1 Lengiewicz, Jakub 1 Li, Peifang 1 Li, Shuyi 1 Lin, Hongwei 1 Liu, Yongming 1 Padula, Guglielmo 1 Papagiannopoulos, Alexis 1 Pathak, Jay 1 Pu, Junyu 1 Ranade, Rishikesh 1 Romor, Francesco 1 Rozza, Gianluigi 1 Shahbaba, Babak 1 Simpson, Cooper 1 Singh, Pradeep 1 Song, Yupeng 1 Stabile, Giovanni 1 Tu, Changhe 1 Wang, Zixiong 1 Wei, Guangshun 1 Xin, Shiqing 1 Yang, Lei 1 Yao, Houpu 1 Zhan, Zheng 1 Zheng, Ye 1 Zhong, Zichun 1 Zhou, Yuanfeng 1 Zhu, Jie all top 5 Cited in 6 Serials 5 Computer Aided Geometric Design 4 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Neural Networks 1 Communications in Mathematics and Statistics 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Cited in 6 Fields 12 Numerical analysis (65-XX) 8 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) Citations by Year