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Krylov subspace methods are considered a standard tool to solve large systems of linear algebraic equations in many scientific disciplines such as image restoration or solving partial differential equations in mechanics of continuum. In the…

Numerical Analysis · Mathematics 2021-10-27 Vojtěch Kulvait , Georg Rose

Generalizable neural implicit surface reconstruction aims to obtain an accurate underlying geometry given a limited number of multi-view images from unseen scenes. However, existing methods select only informative and relevant views using…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Youngju Na , Woo Jae Kim , Kyu Beom Han , Suhyeon Ha , Sung-eui Yoon

Normal estimation for 3D point clouds is a fundamental task in 3D geometry processing. The state-of-the-art methods rely on priors of fitting local surfaces learned from normal supervision. However, normal supervision in benchmarks comes…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Qing Li , Huifang Feng , Kanle Shi , Yue Gao , Yi Fang , Yu-Shen Liu , Zhizhong Han

An increasing number of models require the control of the spectral norm of convolutional layers of a neural network. While there is an abundance of methods for estimating and enforcing upper bounds on those during training, they are…

Machine Learning · Computer Science 2021-02-15 Christina Runkel , Christian Etmann , Michael Möller , Carola-Bibiane Schönlieb

Generating realistic intermediate shapes between non-rigidly deformed shapes is a challenging task in computer vision, especially with unstructured data (e.g., point clouds) where temporal consistency across frames is lacking, and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Lu Sang , Zehranaz Canfes , Dongliang Cao , Riccardo Marin , Florian Bernard , Daniel Cremers

3D Gaussian Splatting has achieved impressive performance in novel view synthesis with real-time rendering capabilities. However, reconstructing high-quality surfaces with fine details using 3D Gaussians remains a challenging task. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Jiepeng Wang , Yuan Liu , Peng Wang , Cheng Lin , Junhui Hou , Xin Li , Taku Komura , Wenping Wang

In the numerical treatment of large-scale Sylvester and Lyapunov equations, projection methods require solving a reduced problem to check convergence. As the approximation space expands, this solution takes an increasing portion of the…

Numerical Analysis · Mathematics 2017-02-03 Davide Palitta , Valeria Simoncini

LiDAR-based place recognition serves as a crucial enabler for long-term autonomy in robotics and autonomous driving systems. Yet, prevailing methodologies relying on handcrafted feature extraction face dual challenges: (1) Inconsistent…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Xiaohui Jiang , Haijiang Zhu , Chade Li , Fulin Tang , Ning An

We propose an approach to reconstruct dense three-dimensional (3D) model of tissue surface from stereo optical videos in real-time, the basic idea of which is to first extract 3D information from video frames by using stereo matching, and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-27 Haoyin Zhou , Jagadeesan Jayender

Connected with the rise of interest in inverse problems is the development and analysis of regularization methods, which are a necessity due to the ill-posedness of inverse problems. Tikhonov-type regularization methods are very popular in…

Numerical Analysis · Mathematics 2021-03-16 Abinash Nayak

Resolving numerically Vlasov-Poisson equations for initially cold systems can be reduced to following the evolution of a three-dimensional sheet evolving in six-dimensional phase-space. We describe a public parallel numerical algorithm…

Computational Physics · Physics 2016-06-29 Thierry Sousbie , Stéphane Colombi

In this paper, we present an efficient visual SLAM system designed to tackle both short-term and long-term illumination challenges. Our system adopts a hybrid approach that combines deep learning techniques for feature detection and…

Robotics · Computer Science 2025-02-28 Kuan Xu , Yuefan Hao , Shenghai Yuan , Chen Wang , Lihua Xie

Accurate representation of interfaces and flux exchange is vital for coupled multiphysics simulations across a broad range of applications. Currently, coupling approaches are limited by the underlying discretization or to specific physical…

Fluid Dynamics · Physics 2026-03-10 Ethan Huff , Savio J. Poovathingal

Multiscale mixed methods based on non-overlapping domain decompositions can efficiently handle the solution of significant subsurface flow problems in very heterogeneous formations of interest to the industry, especially when implemented on…

Numerical Analysis · Mathematics 2025-02-25 Dilong Zhou , Rafael Guiraldello , Felipe Pereira

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

We present a preconditioner based on spectral projection that is combined with a deflated Krylov subspace method for solving ill conditioned linear systems of equations. Our results show that the proposed algorithm requires many fewer…

Numerical Analysis · Mathematics 2016-09-23 Man-Chung Yeung , Craig C. Douglas , Long Lee

Accurate 3D reconstruction of dynamic surgical scenes from endoscopic video is essential for robotic-assisted surgery. While recent 3D Gaussian Splatting methods have shown promise in achieving high-quality reconstructions with fast…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Jialei Chen , Xin Zhang , Mobarakol Islam , Francisco Vasconcelos , Danail Stoyanov , Daniel S. Elson , Baoru Huang

Mixed-effects models are widely used to model data with hierarchical grouping structures and high-cardinality categorical predictor variables. However, for high-dimensional crossed random effects, current standard computations relying on…

Methodology · Statistics 2026-05-15 Pascal Kündig , Fabio Sigrist

3D scanning is a complex multistage process that generates a point cloud of an object typically containing damaged parts due to occlusions, reflections, shadows, scanner motion, specific properties of the object surface, imperfect…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Taras Rumezhak , Oles Dobosevych , Rostyslav Hryniv , Vladyslav Selotkin , Volodymyr Karpiv , Mykola Maksymenko

We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control. This leads to an infinite-dimensional partial…

Numerical Analysis · Mathematics 2015-05-08 Andreas Mang , George Biros