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Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

Numerical Analysis · Mathematics 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

Humans tend to build environments with structure, which consists of mainly planar surfaces. From the intersection of planar surfaces arise straight lines. Lines have more degrees-of-freedom than points. Thus, line-based…

Robotics · Computer Science 2021-06-01 André Mateus , Omar Tahri , A. Pedro Aguiar , Pedro U. Lima , Pedro Miraldo

Structure from motion (SfM) enables us to reconstruct a scene via casual capture from cameras at different viewpoints, and novel view synthesis (NVS) allows us to render a captured scene from a new viewpoint. Both are hard with casual…

This work develops a multiscale solution decomposition (MSD) method for nonlocal-in-time problems to separate a series of known terms with multiscale singularity from the original singular solution such that the remaining unknown part…

Numerical Analysis · Mathematics 2025-09-23 Mengmeng Liu , Jie Ma , Wenlin Qiu , Xiangcheng Zheng

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

This paper presents a novel method for the reconstruction of high-resolution temporal images in dynamic tomographic imaging, particularly for discrete objects with smooth boundaries that vary over time. Addressing the challenge of limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Ajinkya Kadu , Felix Lucka , Kees Joost Batenburg

The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr

During a surface acquisition process using 3D scanners, noise is inevitable and an important step in geometry processing is to remove these noise components from these surfaces (given as points-set or triangulated mesh). The noise-removal…

Graphics · Computer Science 2022-05-16 Sunil Kumar Yadav , Martin Skrodzki , Eric Zimmermann , Konrad Polthier

In multi-view human body capture systems, the recovered 3D geometry or even the acquired imagery data can be heavily corrupted due to occlusions, noise, limited field of- view, etc. Direct estimation of 3D pose, body shape or motion on…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Zhong Li , Yu Ji , Wei Yang , Jinwei Ye , Jingyi Yu

We present a theoretical foundation for relativistic astronomical measurements in curved space-time. In particular, we discuss a new iterative approach for describing the dynamics of an astronomical N-body system. To do this, we generalize…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

This paper addresses the problem of Structure from Motion (SfM) for indoor panoramic image streams, extremely challenging even for the state-of-the-art due to the lack of textures and minimal parallax. The key idea is the fusion of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Satoshi Ikehata , Ivaylo Boyadzhiev , Qi Shan , Yasutaka Furukawa

With the boost in the number of spacecraft launches in the current decades, the space debris problem is daily becoming significantly crucial. For sustainable space utilization, the continuous removal of space debris is the most severe…

Robotics · Computer Science 2024-08-05 Kentaro Uno , Takehiro Matsuoka , Akiyoshi Uchida , Kazuya Yoshida

Image based reconstruction of urban environments is a challenging problem that deals with optimization of large number of variables, and has several sources of errors like the presence of dynamic objects. Since most large scale approaches…

Computer Vision and Pattern Recognition · Computer Science 2015-04-29 N. Dinesh Reddy , Prateek Singhal , Visesh Chari , K. Madhava Krishna

Dynamic reconstruction of deformable tissues in endoscopic video is a key technology for robot-assisted surgery. Recent reconstruction methods based on neural radiance fields (NeRFs) have achieved remarkable results in the reconstruction of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Weixing Xie , Junfeng Yao , Xianpeng Cao , Qiqin Lin , Zerui Tang , Xiao Dong , Xiaohu Guo

Scene reconstruction from unorganized RGB images is an important task in many computer vision applications. Multi-view Stereo (MVS) is a common solution in photogrammetry applications for the dense reconstruction of a static scene. The…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Matthias Innmann , Kihwan Kim , Jinwei Gu , Matthias Niessner , Charles Loop , Marc Stamminger , Jan Kautz

This paper proposes a novel spatiotemporal (ST) fusion framework for satellite images, named Robust Optimization-based Spatiotemporal Fusion (ROSTF). ST fusion is a promising approach to resolve a trade-off between the temporal and spatial…

Image and Video Processing · Electrical Eng. & Systems 2024-07-01 Ryosuke Isono , Kazuki Naganuma , Shunsuke Ono

This paper addresses the problem of dynamic scene surface reconstruction using Gaussian Splatting (GS), aiming to recover temporally consistent geometry. While existing GS-based dynamic surface reconstruction methods can yield superior…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Renjie Wu , Hongdong Li , Jose M. Alvarez , Miaomiao Liu

Visual localization is a critical task in mobile robotics, and researchers are continuously developing new approaches to enhance its efficiency. In this article, we propose a novel approach to improve the accuracy of visual localization…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Artem Nenashev , Mikhail Kurenkov , Andrei Potapov , Iana Zhura , Maksim Katerishich , Dzmitry Tsetserukou

This paper explores the problem of reconstructing temporally consistent surfaces from a 3D point cloud sequence without correspondence. To address this challenging task, we propose DynoSurf, an unsupervised learning framework integrating a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yuxin Yao , Siyu Ren , Junhui Hou , Zhi Deng , Juyong Zhang , Wenping Wang

Existing dimensionality reduction methods are adept at revealing hidden underlying manifolds arising from high-dimensional data and thereby producing a low-dimensional representation. However, the smoothness of the manifolds produced by…

Machine Learning · Statistics 2018-07-16 Kelum Gajamannage , Randy Paffenroth , Erik M. Bollt