Papers › Subdivision-Based Mesh Convolution Networks

Subdivision-Based Mesh Convolution Networks

4 Jun 2021arXiv:2106.02285archive 2025-07-28

Shi-Min Hu, Zheng-Ning Liu, Meng-Hao Guo, Jun-Xiong Cai, Jiahui Huang, Tai-Jiang Mu, Ralph R. Martin

Convolutional neural networks (CNNs) have made great breakthroughs in 2D computer vision. However, their irregular structure makes it hard to harness the potential of CNNs directly on meshes. A subdivision surface provides a hierarchical multi-resolution structure, in which each face in a closed 2-manifold triangle mesh is exactly adjacent to three faces. Motivated by these two observations, this paper presents SubdivNet, an innovative and versatile CNN framework for 3D triangle meshes with Loop subdivision sequence connectivity. Making an analogy between mesh faces and pixels in a 2D image allows us to present a mesh convolution operator to aggregate local features from nearby faces. By exploiting face neighborhoods, this convolution can support standard 2D convolutional network concepts, e.g. variable kernel size, stride, and dilation. Based on the multi-resolution hierarchy, we make use of pooling layers which uniformly merge four faces into one and an upsampling method which splits one face into four. Thereby, many popular 2D CNN architectures can be easily adapted to process 3D meshes. Meshes with arbitrary connectivity can be remeshed to have Loop subdivision sequence connectivity via self-parameterization, making SubdivNet a general approach. Extensive evaluation and various applications demonstrate SubdivNet's effectiveness and efficiency.

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augment_points lzhengning/SubdivNet/subdivnet/dataset.py official repository unverified MIT (permissive) · 7381832330dc7360 · report
check_duplicated lzhengning/SubdivNet/maps/utils.py official repository unverified MIT (permissive) · 1f1b29c5a2a2bfaf · report
from_barycenteric lzhengning/SubdivNet/maps/geometry.py official repository unverified MIT (permissive) · a00abf6e8641d97b · report
maximal_independent_set lzhengning/SubdivNet/maps/utils.py official repository unverified MIT (permissive) · 502bfe3f4b0eed0c · report
to_barycentric lzhengning/SubdivNet/maps/geometry.py official repository unverified MIT (permissive) · 8d210223ae02689c · report

Tasks

3D ClassificationPose Estimation

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Pose Estimation SALSA SubdivNet Accuracy 93 #1 of 4 Archive leaderboard report
Pose Estimation SALSA MeshCNN (Hanocka et al., 2019) Accuracy 87.7 #2 of 4 Archive leaderboard report
Pose Estimation SALSA Pointnet++ (Qi et al., [2017b]) Accuracy 82.3 #3 of 4 Archive leaderboard report
Pose Estimation SALSA Pointnet (Qi et al., [2017a]) Accuracy 74.7 #4 of 4 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

Convolution

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