mlsanityData to 7 Oct 2026

Organic Priors in Non-Rigid Structure from Motion

arXiv 2207.06262 ↗First posted 13 Jul 2022cs.CV cs.CGcited by 15

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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

  1. 2017Monocular Dense 3D Reconstruction of a Complex Dynamic Scene from Two Perspective Framescited by 27
  2. 2019Superpixel Soup: Monocular Dense 3D Reconstruction of a Complex Dynamic Scenecited by 22
  3. 2018Scalable Dense Non-rigid Structure-from-Motion: A Grassmannian Perspectivecited by 19
  4. 2019Non-Rigid Structure from Motion: Prior-Free Factorization Method Revisitedcited by 18
  5. 2018A Benchmark and Evaluation of Non-Rigid Structure from Motioncited by 14
  6. 2016Multi-body Non-rigid Structure-from-Motioncited by 13
  7. 2019Jumping Manifolds: Geometry Aware Dense Non-Rigid Structure from Motioncited by 12
  8. 2020Robust Single Rotation Averagingcited by 12
  9. 2015Partial Sum Minimization of Singular Values in Robust PCA: Algorithm and Applicationscited by 11
  10. 2017Scalable Dense Monocular Surface Reconstructioncited by 7
  11. 2019Dense Depth Estimation of a Complex Dynamic Scene without Explicit 3D Motion Estimationcited by 5
  12. 2020Accurate Optimization of Weighted Nuclear Norm for Non-Rigid Structure from Motioncited by 5
1 more
  1. 2020Dense Non-Rigid Structure from Motion: A Manifold Viewpointcited by 4

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 4; 2024: 3; 2025: 2; 2026: 4.

15 papers.

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