Organic Priors in Non-Rigid Structure from Motion
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Abstract (arXiv)
This paper advocates the use of organic priors in classical non-rigid structure from motion (NRSfM). By organic priors, we mean invaluable intermediate prior information intrinsic to the NRSfM matrix factorization theory. It is shown that such priors reside in the factorized matrices, and quite surprisingly, existing methods generally disregard them. The paper's main contribution is to put forward a simple, methodical, and practical method that can effectively exploit such organic priors to solve NRSfM. The proposed method does not make assumptions other than the popular one on the low-rank shape and offers a reliable solution to NRSfM under orthographic projection. Our work reveals that the accessibility of organic priors is independent of the camera motion and shape deformation type. Besides that, the paper provides insights into the NRSfM factorization -- both in terms of shape and motion -- and is the first approach to show the benefit of single rotation averaging for NRSfM. Furthermore, we outline how to effectively recover motion and non-rigid 3D shape using the proposed organic prior based approach and demonstrate results that outperform prior-free NRSfM performance by a significant margin. Finally, we present the benefits of our method via extensive experiments and evaluations on several benchmark datasets.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). Builds on 13 of its 52 references that are in the map. First posted on arXiv 13 Jul 2022.
Builds on
13 of 52 references.
References · 13
- 2017Monocular Dense 3D Reconstruction of a Complex Dynamic Scene from Two Perspective Framescited by 27
- 2019Superpixel Soup: Monocular Dense 3D Reconstruction of a Complex Dynamic Scenecited by 22
- 2018Scalable Dense Non-rigid Structure-from-Motion: A Grassmannian Perspectivecited by 19
- 2019Non-Rigid Structure from Motion: Prior-Free Factorization Method Revisitedcited by 18
- 2018A Benchmark and Evaluation of Non-Rigid Structure from Motioncited by 14
- 2016Multi-body Non-rigid Structure-from-Motioncited by 13
- 2019Jumping Manifolds: Geometry Aware Dense Non-Rigid Structure from Motioncited by 12
- 2020Robust Single Rotation Averagingcited by 12
- 2015Partial Sum Minimization of Singular Values in Robust PCA: Algorithm and Applicationscited by 11
- 2017Scalable Dense Monocular Surface Reconstructioncited by 7
- 2019Dense Depth Estimation of a Complex Dynamic Scene without Explicit 3D Motion Estimationcited by 5
- 2020Accurate Optimization of Weighted Nuclear Norm for Non-Rigid Structure from Motioncited by 5
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Citing papers per year: 2022: 2; 2023: 4; 2024: 3; 2025: 2; 2026: 4.
15 papers.
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- 2024Recent Trends in 3D Reconstruction of General Non-Rigid Scenescited by 28
- 2024Fast Encoder-Based 3D from Casual Videos via Point Track Processingcited by 14
- 2023Learning Robust Multi-Scale Representation for Neural Radiance Fields from Unposed Imagescited by 7
- 2023Robust Single Rotation Averaging Revisitedcited by 6
- 2022Fast Non-Rigid Radiance Fields from Monocularized Datacited by 4
- 2023Uncertainty-Driven Dense Two-View Structure from Motioncited by 3
- 2023Learning Better Keypoints for Multi-Object 6DoF Pose Estimationcited by 3
- 2025Shape-from-Template with Generalised Cameracited by 1
- 2026Time-Archival Camera Virtualization for Sports and Visual Performancescited by 1
- 2022Convex Relaxations for Isometric and Equiareal NRSfMcited by 0
- 2024Non-rigid Structure-from-Motion: Temporally-smooth Procrustean Alignment and Spatially-variant Deformation Modelingcited by 0
- 2025Next-Future: Sample-Efficient Policy Learning for Robotic-Arm Taskscited by 0
3 more
- 2026Rethinking Dense Optical Flow without Test-Time Scaling8 May 2026
- 2026A Dataset and Evaluation for Complex 4D Markerless Human Motion Capture14 Apr 2026
- 2026SSR: A Training-Free Approach for Streaming 3D Reconstruction16 Mar 2026
- 2026Time-Archival Camera Virtualization for Sports and Visual Performances16 Feb 2026
- 2025Shape-from-Template with Generalised Camera19 Aug 2025
- 2025Next-Future: Sample-Efficient Policy Learning for Robotic-Arm Tasks15 Apr 2025
- 2024Non-rigid Structure-from-Motion: Temporally-smooth Procrustean Alignment and Spatially-variant Deformation Modeling7 May 2024
- 2024Fast Encoder-Based 3D from Casual Videos via Point Track Processing10 Apr 2024
- 2024Recent Trends in 3D Reconstruction of General Non-Rigid Scenes22 Mar 2024
- 2023Learning Robust Multi-Scale Representation for Neural Radiance Fields from Unposed Images8 Nov 2023
- 2023Robust Single Rotation Averaging Revisited11 Sep 2023
- 2023Learning Better Keypoints for Multi-Object 6DoF Pose Estimation15 Aug 2023
3 more
- 2023Uncertainty-Driven Dense Two-View Structure from Motion1 Feb 2023
- 2022Fast Non-Rigid Radiance Fields from Monocularized Data2 Dec 2022
- 2022Convex Relaxations for Isometric and Equiareal NRSfM29 Nov 2022
- 2024Recent Trends in 3D Reconstruction of General Non-Rigid Scenescited by 28
- 2024Fast Encoder-Based 3D from Casual Videos via Point Track Processingcited by 14
- 2023Learning Robust Multi-Scale Representation for Neural Radiance Fields from Unposed Imagescited by 7
- 2023Robust Single Rotation Averaging Revisitedcited by 6
- 2022Fast Non-Rigid Radiance Fields from Monocularized Datacited by 4
- 2023Uncertainty-Driven Dense Two-View Structure from Motioncited by 3
- 2023Learning Better Keypoints for Multi-Object 6DoF Pose Estimationcited by 3
- 2025Shape-from-Template with Generalised Cameracited by 1
- 2026Time-Archival Camera Virtualization for Sports and Visual Performancescited by 1
- 2022Convex Relaxations for Isometric and Equiareal NRSfMcited by 0
- 2024Non-rigid Structure-from-Motion: Temporally-smooth Procrustean Alignment and Spatially-variant Deformation Modelingcited by 0
- 2025Next-Future: Sample-Efficient Policy Learning for Robotic-Arm Taskscited by 0
12 most cited of 15 All 15 (JSON)
- 2026Rethinking Dense Optical Flow without Test-Time Scaling8 May 2026
- 2026A Dataset and Evaluation for Complex 4D Markerless Human Motion Capture14 Apr 2026
- 2026SSR: A Training-Free Approach for Streaming 3D Reconstruction16 Mar 2026
- 2026Time-Archival Camera Virtualization for Sports and Visual Performances16 Feb 2026
- 2025Shape-from-Template with Generalised Camera19 Aug 2025
- 2025Next-Future: Sample-Efficient Policy Learning for Robotic-Arm Tasks15 Apr 2025
- 2024Non-rigid Structure-from-Motion: Temporally-smooth Procrustean Alignment and Spatially-variant Deformation Modeling7 May 2024
- 2024Fast Encoder-Based 3D from Casual Videos via Point Track Processing10 Apr 2024
- 2024Recent Trends in 3D Reconstruction of General Non-Rigid Scenes22 Mar 2024
- 2023Learning Robust Multi-Scale Representation for Neural Radiance Fields from Unposed Images8 Nov 2023
- 2023Robust Single Rotation Averaging Revisited11 Sep 2023
- 2023Learning Better Keypoints for Multi-Object 6DoF Pose Estimation15 Aug 2023
12 newest of 15 All 15 (JSON)