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We perform numerical analysis of a nonlinear gradient flow, which can be regarded as a parabolic minimal surface problem or a regularised total variation flow, using the gradient discretisation method (GDM). GDM is a unified convergence…

数值分析 · 数学 2026-04-21 Jerome Droniou , Kim-Ngan Le , Huateng Zhu

Recently neural scene representations have provided very impressive results for representing 3D scenes visually, however, their study and progress have mainly been limited to visualization of virtual models in computer graphics or scene…

计算机视觉与模式识别 · 计算机科学 2022-09-26 Yassine Ahmine , Arnab Dey , Andrew I. Comport

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

机器学习 · 统计学 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

We introduce GeMS, a framework for 3D Gaussian Splatting (3DGS) designed to handle severely motion-blurred images. State-of-the-art deblurring methods for extreme blur, such as ExBluRF, as well as Gaussian Splatting-based approaches like…

计算机视觉与模式识别 · 计算机科学 2025-08-21 Gopi Raju Matta , Trisha Reddypalli , Vemunuri Divya Madhuri , Kaushik Mitra

Simultaneous Localization and Mapping (SLAM) with 3D Gaussian Splatting (3DGS) enables fast, differentiable rendering and high-fidelity reconstruction across diverse real-world scenes. However, existing 3DGS-SLAM approaches handle…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Anh Thuan Tran , Jana Kosecka

Understanding which concepts models can and cannot represent has been fundamental to many tasks: from effective and responsible use of models to detecting out of distribution data. We introduce Gaussian process probes (GPP), a unified and…

机器学习 · 计算机科学 2023-11-07 Zi Wang , Alexander Ku , Jason Baldridge , Thomas L. Griffiths , Been Kim

Accurate surface estimation is critical for downstream tasks in scientific simulation, and quantifying uncertainty in implicit neural 3D representations still remains a substantial challenge due to computational inefficiencies, scalability…

计算机视觉与模式识别 · 计算机科学 2025-09-08 Rushil Desai

The ability to recognize previously mapped locations is an essential feature for autonomous systems. Unstructured planetary-like environments pose a major challenge to these systems due to the similarity of the terrain. As a result, the…

A generalized Gaussian process model (GGPM) is a unifying framework that encompasses many existing Gaussian process (GP) models, such as GP regression, classification, and counting. In the GGPM framework, the observation likelihood of the…

机器学习 · 统计学 2013-11-28 Lifeng Shang , Antoni B. Chan

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…

计算机视觉与模式识别 · 计算机科学 2025-05-30 Hidenobu Matsuki , Gwangbin Bae , Andrew J. Davison

In this paper, a novel surrogate model based on the Grassmannian diffusion maps (GDMaps) and utilizing geometric harmonics is developed for predicting the response of engineering systems and complex physical phenomena. The method utilizes…

数据分析、统计与概率 · 物理学 2022-06-28 Ketson R. M. dos Santos , Dimitrios G. Giovanis , Katiana Kontolati , Dimitrios Loukrezis , Michael D. Shields

3D object-level mapping is a fundamental problem in robotics, which is especially challenging when object CAD models are unavailable during inference. In this work, we propose a framework that can reconstruct high-quality object-level maps…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Ziwei Liao , Jun Yang , Jingxing Qian , Angela P. Schoellig , Steven L. Waslander

Recent techniques on implicit geometry representation learning and neural rendering have shown promising results for 3D clothed human reconstruction from sparse video inputs. However, it is still challenging to reconstruct detailed surface…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Hao Wang , Qingshan Xu , Hongyuan Chen , Rui Ma

While 3D Gaussian Splatting (3DGS) has revolutionized photorealistic rendering, its vast ecosystem of assets remains incompatible with high-performance LiDAR simulation, a critical tool for robotics and autonomous driving. We present…

机器人学 · 计算机科学 2025-09-23 Junzhe Wu , Yufei Jia , Yiyi Yan , Zhixing Chen , Tiao Tan , Zifan Wang , Guangyu Wang

In this work, we introduce the Geometry-Aware Large Reconstruction Model (GeoLRM), an approach which can predict high-quality assets with 512k Gaussians and 21 input images in only 11 GB GPU memory. Previous works neglect the inherent…

计算机视觉与模式识别 · 计算机科学 2024-10-29 Chubin Zhang , Hongliang Song , Yi Wei , Yu Chen , Jiwen Lu , Yansong Tang

Efficient navigation through uneven terrain remains a challenging endeavor for autonomous robots. We propose a new geometric-based uneven terrain mapless navigation framework combining a Sparse Gaussian Process (SGP) local map with a…

机器人学 · 计算机科学 2024-03-29 Abe Leininger , Mahmoud Ali , Hassan Jardali , Lantao Liu

Identifying changes in a pair of 3D aerial LiDAR point clouds, obtained during two distinct time periods over the same geographic region presents a significant challenge due to the disparities in spatial coverage and the presence of noise…

计算机视觉与模式识别 · 计算机科学 2023-08-31 Peter Naylor , Diego Di Carlo , Arianna Traviglia , Makoto Yamada , Marco Fiorucci

Depth maps are widely used in feed-forward 3D Gaussian Splatting (3DGS) pipelines by unprojecting them into 3D point clouds for novel view synthesis. This approach offers advantages such as efficient training, the use of known camera poses,…

计算机视觉与模式识别 · 计算机科学 2025-06-06 Duochao Shi , Weijie Wang , Donny Y. Chen , Zeyu Zhang , Jia-Wang Bian , Bohan Zhuang , Chunhua Shen

For reliable operation on urban roads, navigation using the Global Navigation Satellite System (GNSS) requires both accurately estimating the positioning detail from GNSS pseudorange measurements and determining when the estimated position…

机器人学 · 计算机科学 2021-10-26 Shubh Gupta , Grace X. Gao

In a previous paper, we introduced a framework for carrying out petrophysically and geologically guided geophysical inversions. In that framework, petrophysical and geological information is modelled with a Gaussian Mixture Model (GMM). In…

地球物理 · 物理学 2022-03-29 Thibaut Astic , Lindsey J. Heagy , Douglas W. Oldenburg