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We propose the first comprehensive approach for modeling and analyzing the spatiotemporal shape variability in tree-like 4D objects, i.e., 3D objects whose shapes bend, stretch, and change in their branching structure over time as they…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Tahmina Khanam , Hamid Laga , Mohammed Bennamoun , Guanjin Wang , Ferdous Sohel , Farid Boussaid , Guan Wang , Anuj Srivastava

Neural implicit reconstruction via volume rendering has demonstrated its effectiveness in recovering dense 3D surfaces. However, it is non-trivial to simultaneously recover meticulous geometry and preserve smoothness across regions with…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Ziyu Tang , Weicai Ye , Yifan Wang , Di Huang , Hujun Bao , Tong He , Guofeng Zhang

Dynamic Mode Decomposition (DMD) is a powerful tool for extracting spatial and temporal patterns from multi-dimensional time series, and it has been used successfully in a wide range of fields, including fluid mechanics, robotics, and…

Dynamical Systems · Mathematics 2021-09-07 Ziyou Wu , Steven L. Brunton , Shai Revzen

Dynamic scenes rendering is an intriguing yet challenging problem. Although current methods based on NeRF have achieved satisfactory performance, they still can not reach real-time levels. Recently, 3D Gaussian Splatting (3DGS) has garnered…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Jiahao Lu , Jiacheng Deng , Ruijie Zhu , Yanzhe Liang , Wenfei Yang , Tianzhu Zhang , Xu Zhou

We propose the first 4D tracking and mapping method that jointly performs camera localization and non-rigid surface reconstruction via differentiable rendering. Our approach captures 4D scenes from an online stream of color images with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Hidenobu Matsuki , Gwangbin Bae , Andrew J. Davison

Semi-Definite Programming (SDP) with low-rank prior has been widely applied in Non-Rigid Structure from Motion (NRSfM). Based on a low-rank constraint, it avoids the inherent ambiguity of basis number selection in conventional base-shape or…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Jingwei Song , Mitesh Patel , Ashkan Jasour , Maani Ghaffari

Compressible Mooney-Rivlin theory has been used to model hyperelastic solids, such as rubber and porous polymers, and more recently for the modeling of soft tissues for biomedical tissues, undergoing large elastic deformations. We propose a…

Numerical Analysis · Mathematics 2025-10-20 Suzanne M. Shontz , Stephen A. Vavasis

We propose a method for unsupervised reconstruction of a temporally-consistent sequence of surfaces from a sequence of time-evolving point clouds. It yields dense and semantically meaningful correspondences between frames. We represent the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-15 Jan Bednarik , Noam Aigerman , Vladimir G. Kim , Siddhartha Chaudhuri , Shaifali Parashar , Mathieu Salzmann , Pascal Fua

We propose Comprehensive Robust Dynamic Mode Decomposition (CR-DMD), a novel framework that robustifies the entire DMD process - from mode extraction to dimensional reduction - against mixed noise. Although standard DMD widely used for…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Yuki Nakamura , Shingo Takemoto , Shunsuke Ono

A novel approach to improving the performances of confocal scanning imaging is proposed. We experimentally demonstrate its feasibility using acoustic waves. It relies on a new way to encode spatial information using the temporal dimension.…

Generating dense physical fields from sparse measurements is a fundamental question in sampling, signal processing, and many other applications. State-of-the-art methods either use spatial statistics or rely on examples of dense fields in…

Machine Learning · Statistics 2026-01-29 Ofek Aloni , Barak Fishbain

This paper proposes a new approach for monocular dense 3D reconstruction of a complex dynamic scene from two perspective frames. By applying superpixel over-segmentation to the image, we model a generically dynamic (hence non-rigid) scene…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Suryansh Kumar , Yuchao Dai , Hongdong Li

This paper introduces a generalized mean-based C^1-smooth robustness measure over discrete-time signals (D-GMSR) for signal temporal logic (STL) specifications. In conjunction with its C1-smoothness, D-GMSR is proven to be both sound and…

Optimization and Control · Mathematics 2024-05-21 Samet Uzun , Purnanand Elango , Pierre-Loic Garoche , Behcet Acikmese

Reconstruction of the soft tissues in robotic surgery from endoscopic stereo videos is important for many applications such as intra-operative navigation and image-guided robotic surgery automation. Previous works on this task mainly rely…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Yuehao Wang , Yonghao Long , Siu Hin Fan , Qi Dou

Robinson-Trautman radiative space-times of Petrov type II with a non-vanishing cosmological constant Lambda and mass parameter m>0 are studied using analytical methods. They are shown to approach the corresponding spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , J. Podolsky

Existing methods for the 4D reconstruction of general, non-rigidly deforming objects focus on novel-view synthesis and neglect correspondences. However, time consistency enables advanced downstream tasks like 3D editing, motion analysis, or…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Edith Tretschk , Vladislav Golyanik , Michael Zollhoefer , Aljaz Bozic , Christoph Lassner , Christian Theobalt

Reconstructing objects with realistic materials from multi-view images is problematic, since it is highly ill-posed. Although the neural reconstruction approaches have exhibited impressive reconstruction ability, they are designed for…

Graphics · Computer Science 2024-05-07 Jia Li , Lu Wang , Lei Zhang , Beibei Wang

With the recent development of high-end LiDARs, more and more systems are able to continuously map the environment while moving and producing spatially redundant information. However, none of the previous approaches were able to effectively…

Robotics · Computer Science 2017-09-19 Chanoh Park , Soohwan Kim , Peyman Moghadam , Clinton Fookes , Sridha Sridharan

Randomized smoothing is a general technique for computing sample-dependent robustness guarantees against adversarial attacks for deep classifiers. Prior works on randomized smoothing against L_1 adversarial attacks use additive smoothing…

Machine Learning · Computer Science 2021-06-14 Alexander Levine , Soheil Feizi

We present Deep Shape-from-Template (DeepSfT), a novel Deep Neural Network (DNN) method for solving real-time automatic registration and 3D reconstruction of a deformable object viewed in a single monocular image.DeepSfT advances the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 David Fuentes-Jimenez , David Casillas-Perez , Daniel Pizarro , Toby Collins , Adrien Bartoli
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