arXiv Computer Vision By Jing Li, Yawei Luo, Xiangze Meng, Ying Li, Tieru Wu, Rui Ma

NHO: A Neural Hamiltonian Operator for Anchor-based Region Localization and Dense Correspondance

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NHO introduces a neural Hamiltonian operator that uses sparse anchors and the intrinsic geometry of a partial shape to learn a localized eigenspace encoding both region support and intrinsic coordinates for dense correspondence. The method parameterizes the Hamiltonian potential as an intrinsic neural field and optimizes it with anchor evidence, spectral, and geometric constraints, employing reciprocal refinement between operator estimation and correspondence recovery. After iterative refinement, aggregated eigenfunction energy yields final localization and initializes dense correspondence refinement, achieving competitive accuracy and robustness to scaling and rotation.

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arXiv Computer Vision
Aug 24

RecGen3D: Reconstruction-Guided 3D Generation in a Shared Canonical Space

RecGen3D is a framework that merges feed‑forward reconstruction and diffusion‑based generation to address the trade‑off between reconstruction fidelity and generative plausibility in sparse‑view 3D modeling. By aligning both models in a shared canonical space and using decoupled cooperative learning, the system stabilizes training and allows the reconstruction module to supply canonical geometric anchors while the diffusion generator refines and completes the structure. Experiments show that RecGen3D outperforms existing methods in producing complete and consistent 3D models from sparse observations.

By Zhisheng Huang, Jiahao Chen, Cheng Lin, Chenyu Hu, Hanzhuo Huang, Zhengming Yu, Mengfei Li, Yuheng Liu, Zekai Gu, Zibo Zhao, Yuan Liu, Xin Li, Wenping Wang
arXiv Machine Learning
Sep 23

Discovering Data Manifold Geometry through Geometric Properties

arXiv:2602.02611v2 Announce Type: replace Abstract: A prevailing paradigm in modern representation learning is the map-first approach, in which a representation map is learned from reconstruction, em...

By David Vigouroux (ANITI, IMT Atlantique - DSD, LaTIM), Lucas Drumetz (IMT Atlantique - MEE, Lab-STICC\_OSE, ODYSSEY), Ronan Fablet (IMT Atlantique - MEE, Lab-STICC\_OSE, ODYSSEY), Fran\c{c}ois Rousseau (IMT Atlantique - DSD, LaTIM)