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In the paper, we propose a robust real-time visual odometry in dynamic environments via rigid-motion model updated by scene flow. The proposed algorithm consists of spatial motion segmentation and temporal motion tracking. The spatial…

Robotics · Computer Science 2019-07-22 Sangil Lee , Clark Youngdong Son , H. Jin Kim

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

Approximate convex decomposition aims to decompose a 3D shape into a set of almost convex components, whose convex hulls can then be used to represent the input shape. It thus enables efficient geometry processing algorithms specifically…

Graphics · Computer Science 2022-05-09 Xinyue Wei , Minghua Liu , Zhan Ling , Hao Su

Despite having achieved real-time performance in mesh construction, most of the current LiDAR odometry and meshing methods may struggle to deal with complex scenes due to relying on explicit meshing schemes. They are usually sensitive to…

Robotics · Computer Science 2023-12-27 Yanjin Zhu , Xin Zheng , Jianke Zhu

We present a method for depth estimation with monocular images, which can predict high-quality depth on diverse scenes up to an affine transformation, thus preserving accurate shapes of a scene. Previous methods that predict metric depth…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Wei Yin , Xinlong Wang , Chunhua Shen , Yifan Liu , Zhi Tian , Songcen Xu , Changming Sun , Dou Renyin

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the solutions are discontinuous, as commonly found in control problems…

Optimization and Control · Mathematics 2023-06-27 Lucian Nita , Eduardo M. G. Vila , Marta A. Zagorowska , Eric C. Kerrigan , Yuanbo Nie , Ian McInerney , Paola Falugi

An algorithm is proposed for the segmentation of image into multiple levels using mean and standard deviation in the wavelet domain. The procedure provides for variable size segmentation with bigger block size around the mean, and having…

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

Recent probabilistic methods for 3D triangular meshes capture diverse shapes by differentiable mesh connectivity, but face high computational costs with increased shape details. We introduce a new differentiable mesh processing method that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Matthew Fisher , Zexiang Xu , Yi-Ling Qiao , Ming C. Lin , Yi Zhou

Partitioning a polygonal mesh into meaningful parts can be challenging. Many applications require decomposing such structures for further processing in computer graphics. In the last decade, several methods were proposed to tackle this…

Graphics · Computer Science 2023-09-01 Bruno Roy

In asymmetric retrieval systems, models with different capacities are deployed on platforms with different computational and storage resources. Despite the great progress, existing approaches still suffer from a dilemma between retrieval…

Image and Video Processing · Electrical Eng. & Systems 2024-03-04 Hui Wu , Min Wang , Wengang Zhou , Zhenbo Lu , Houqiang Li

Metric embeddings are a widely used method in algorithm design, where generally a ``complex'' metric is embedded into a simpler, lower-dimensional one. Historically, the theoretical computer science community has focused on bi-Lipschitz…

Data Structures and Algorithms · Computer Science 2025-05-19 Ainesh Bakshi , Vincent Cohen-Addad , Samuel B. Hopkins , Rajesh Jayaram , Silvio Lattanzi

We present a novel two-view geometry estimation framework which is based on a differentiable robust loss function fitting. We propose to treat the robust fundamental matrix estimation as an implicit layer, which allows us to avoid…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Vladislav Pyatov , Iaroslav Koshelev , Stamatis Lefkimmiatis

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe

In recent years, mesh subdivision---the process of forging smooth free-form surfaces from coarse polygonal meshes---has become an indispensable production instrument. Although subdivision performance is crucial during simulation, animation…

Graphics · Computer Science 2019-01-17 Daniel Mlakar , Martin Winter , Hans-Peter Seidel , Markus Steinberger , Rhaleb Zayer

Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and only a small number of contributions in the scientific literature report results with unstructured meshes and three spatial dimensions. Unstructured meshes are…

Computational Physics · Physics 2024-02-07 Tomislav Maric , Douglas B. Kothe , Dieter Bothe

Geometric Deep Learning has recently made striking progress with the advent of continuous Deep Implicit Fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Benoît Guillard , Timur Bagautdinov , Pierre Baque , Pascal Fua

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma