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In this work we study the formulation of convection/diffusion equations on the 3D motion group SE(3) in terms of the irreducible representations of SO(3). Therefore, the left-invariant vector-fields on SE(3) are expressed as linear…

Analysis of PDEs · Mathematics 2012-02-27 Marco Reisert , Henrik Skibbe

Dense ground displacement measurements are crucial for geological studies but are impractical to collect directly. Traditionally, displacement fields are estimated using patch matching on optical satellite images from different acquisition…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Juliette Bertrand , Sophie Giffard-Roisin , James Hollingsworth , Julien Mairal

In this paper, we aim to model 3D scene geometry, appearance, and physical information just from dynamic multi-view videos in the absence of any human labels. By leveraging physics-informed losses as soft constraints or integrating simple…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Jinxi Li , Ziyang Song , Bo Yang

Neural Radiance Fields (NeRFs) provide a high fidelity, continuous scene representation that can realistically represent complex behaviour of light. Despite works like Ref-NeRF improving geometry through physics-inspired models, the ability…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Jack Naylor , Viorela Ila , Donald G. Dansereau

Previous dominant methods for scene flow estimation focus mainly on input from two consecutive frames, neglecting valuable information in the temporal domain. While recent trends shift towards multi-frame reasoning, they suffer from rapidly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Qingwen Zhang , Xiaomeng Zhu , Yushan Zhang , Yixi Cai , Olov Andersson , Patric Jensfelt

This paper introduces a novel continual learning framework for synthesising novel views of multiple scenes, learning multiple 3D scenes incrementally, and updating the network parameters only with the training data of the upcoming new…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Yuze Wang , Junyi Wang , Chen Wang , Wantong Duan , Yongtang Bao , Yue Qi

Recent 4D shape representations model continuous temporal evolution of implicit shapes by (1) learning query flows without leveraging shape and articulation priors or (2) decoding shape occupancies separately for each time value. Thus, they…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Jihyun Lee , Junbong Jang , Donghwan Kim , Minhyuk Sung , Tae-Kyun Kim

Spatial understanding is a critical aspect of most robotic tasks, particularly when generalization is important. Despite the impressive results of deep generative models in complex manipulation tasks, the absence of a representation that…

Robotics · Computer Science 2024-09-10 Niklas Funk , Julen Urain , Joao Carvalho , Vignesh Prasad , Georgia Chalvatzaki , Jan Peters

We introduce latent intuitive physics, a transfer learning framework for physics simulation that can infer hidden properties of fluids from a single 3D video and simulate the observed fluid in novel scenes. Our key insight is to use latent…

Artificial Intelligence · Computer Science 2024-08-06 Xiangming Zhu , Huayu Deng , Haochen Yuan , Yunbo Wang , Xiaokang Yang

Modeling the time-varying 3D appearance of plants during growth poses unique challenges: unlike most dynamic scenes, plants continuously generate new geometry as they expand, branch, and differentiate. Existing dynamic scene representations…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Weihan Luo , Lily Goli , Sherwin Bahmani , Felix Taubner , Andrea Tagliasacchi , David B. Lindell

In this paper, we first propose a novel method for transferring material transformations across different scenes. Building on disentangled Neural Radiance Field (NeRF) representations, our approach learns to map Bidirectional Reflectance…

Computer Vision and Pattern Recognition · Computer Science 2024-11-13 Ivan Lopes , Jean-François Lalonde , Raoul de Charette

Despite significant progress in image-based 3D scene flow estimation, the performance of such approaches has not yet reached the fidelity required by many applications. Simultaneously, these applications are often not restricted to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Aseem Behl , Despoina Paschalidou , Simon Donné , Andreas Geiger

Many robotic systems allow independent control of position and orientation (pose), including omnidirectional aerial vehicles, underwater robots, and manipulator end-effectors. In many applications, these systems must follow a continuous…

Robotics · Computer Science 2026-05-27 Felipe Bartelt , Luciano C. A. Pimenta , Weijia Yao , Vinicius M. Gonçalves

Autonomous navigation in dynamic environments requires spatial representations that capture both semantic structure and temporal evolution. 3D Scene Graphs (3DSGs) provide hierarchical multi-resolution abstractions that encode geometry and…

Robotics · Computer Science 2026-03-19 Iacopo Catalano , Eduardo Montijano , Javier Civera , Julio A. Placed , Jorge Pena-Queralta

Motion segmentation in dynamic scenes is highly challenging, as conventional methods heavily rely on estimating camera poses and point correspondences from inherently noisy motion cues. Existing statistical inference or iterative…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Xiankang He , Peile Lin , Ying Cui , Dongyan Guo , Chunhua Shen , Xiaoqin Zhang

Videos captured in the wild often suffer from rain streaks, blur, and noise. In addition, even slight changes in camera pose can amplify cross-frame mismatches and temporal artifacts. Existing methods rely on optical flow or heuristic…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Shuning Sun , Jialang Lu , Xiang Chen , Jichao Wang , Dianjie Lu , Guijuan Zhang , Guangwei Gao , Zhuoran Zheng

Visually exploring in a real-world 4D spatiotemporal space freely in VR has been a long-term quest. The task is especially appealing when only a few or even single RGB cameras are used for capturing the dynamic scene. To this end, we…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Liangchen Song , Anpei Chen , Zhong Li , Zhang Chen , Lele Chen , Junsong Yuan , Yi Xu , Andreas Geiger

Recent advancements in Simultaneous Localization and Mapping (SLAM) have increasingly highlighted the robustness of LiDAR-based techniques. At the same time, Neural Radiance Fields (NeRF) have introduced new possibilities for 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Qi Zhang , He Wang , Ru Li , Wenbin Li

A recent study in turbulent flow simulation demonstrated the potential of generative diffusion models for fast 3D surrogate modeling. This approach eliminates the need for specifying initial states or performing lengthy simulations,…

Fluid Dynamics · Physics 2024-07-30 Abdullah Saydemir , Marten Lienen , Stephan Günnemann

Given two consecutive RGB-D images, we propose a model that estimates a dense 3D motion field, also known as scene flow. We take advantage of the fact that in robot manipulation scenarios, scenes often consist of a set of rigidly moving…

Robotics · Computer Science 2018-07-25 Lin Shao , Parth Shah , Vikranth Dwaracherla , Jeannette Bohg