CanFields: Consolidating Diffeomorphic Flows for Non-Rigid 4D Interpolation from Arbitrary-Length Sequences
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Abstract (arXiv)
We introduce Canonical Consolidation Fields (CanFields). This novel method interpolates arbitrary-length sequences of independently sampled 3D point clouds into a unified, continuous, and coherent deforming shape. Unlike prior methods that oversmooth geometry or produce topological and geometric artifacts, CanFields optimizes fine-detailed geometry and deformation jointly in an unsupervised fitting with two novel bespoke modules. First, we introduce a dynamic consolidator module that adjusts the input and assigns confidence scores, balancing the optimization of the canonical shape and its motion. Second, we represent the motion as a diffeomorphic flow parameterized by a smooth velocity field. We have validated our robustness and accuracy on more than 50 diverse sequences, demonstrating its superior performance even with missing regions, noisy raw scans, and sparse data. Our project page is at: https://wangmiaowei.github.io/CanFields.github.io/.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 56 of its 107 references that are in the map. First posted on arXiv 5 Jun 2024.
Builds on
56 of 107 references.
References · 56
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38 more
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50 most cited of 56 All 56 (JSON)
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Citing papers per year: 2026: 6.
6 papers.
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networkscited by 5
- 2026BiMotion: B-spline Motion for Text-guided Dynamic 3D Character Generationcited by 4
- 2026DynaTok: Token-Based 4D Reconstruction from Partial Point Cloudscited by 0
- 2026GrowFields: Compositional 4D Neural Fields for Topology-Changing Plant Growthcited by 0
- 2026Low-Rank Velocity Fields as a Structural Prior for Unsupervised 4D Medical Image Interpolationcited by 0
- 2026Phase-Aligned Finite-Fourier Periodic Deformation for 4D Medical Image Interpolationcited by 0
- 2026Phase-Aligned Finite-Fourier Periodic Deformation for 4D Medical Image Interpolation25 Aug 2026
- 2026Low-Rank Velocity Fields as a Structural Prior for Unsupervised 4D Medical Image Interpolation25 Aug 2026
- 2026GrowFields: Compositional 4D Neural Fields for Topology-Changing Plant Growth3 Jul 2026
- 2026DynaTok: Token-Based 4D Reconstruction from Partial Point Clouds10 Jun 2026
- 2026BiMotion: B-spline Motion for Text-guided Dynamic 3D Character Generation21 Feb 2026
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networks29 Jan 2026