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In recent years, applications such as real-time simulations, autonomous systems, and video games increasingly demand the processing of complex geometric models under stringent time constraints. Traditional geometric algorithms, including…

Computational Geometry · Computer Science 2026-01-30 Roberto Carrasco , Enzo Meneses , Hector Ferrada , Cristobal A. Navarro , Nancy Hitschfeld

We present a fast algorithm for generating Laguerre diagrams with cells of given volumes, which can be used for creating RVEs of polycrystalline materials for computational homogenisation, or for fitting Laguerre diagrams to EBSD or XRD…

Optimization and Control · Mathematics 2020-07-01 D. P. Bourne , P. J. J. Kok , S. M. Roper , W. D. T. Spanjer

The recently proposed open-source KAZE image feature detection and description algorithm offers unprecedented performance in comparison to conventional ones like SIFT and SURF as it relies on nonlinear scale spaces instead of Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Ramkumar B , R. S. Hegde , Rob Laber , Hristo Bojinov

Analysis of processing time and similarity of images generated between CPU and GPU architectures and sequential and parallel programming. For image processing a computer with AMD FX-8350 processor and an Nvidia GTX 960 Maxwell GPU was used,…

3D Gaussian Splatting (3DGS) has demonstrated impressive performance in scene reconstruction. However, most existing GS-based surface reconstruction methods focus on 3D objects or limited scenes. Directly applying these methods to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Yuanyuan Gao , Yalun Dai , Hao Li , Weicai Ye , Junyi Chen , Danpeng Chen , Dingwen Zhang , Tong He , Guofeng Zhang , Junwei Han

This paper presents the implementation of a HLLC finite volume solver using GPU technology for the solution of shallow water problems in two dimensions. It compares both CPU and GPU approaches for implementing all the solver's steps. The…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Fabrice Zaoui

Graphics Processing Units (GPUs) have become the standard in accelerating scientific applications on heterogeneous systems. However, as GPUs are getting faster, one potential performance bottleneck with GPU-accelerated applications is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Jonah Ekelund , Stefano Markidis , Ivy Peng

Surface cutting is a fundamental task in computer graphics, with applications in UV parameterization, texture mapping, and mesh decomposition. However, existing methods often produce technically valid but overly fragmented atlases that lack…

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global…

Mathematical Software · Computer Science 2022-12-28 Jean-Sylvain Camier , Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

The increasing complexity and diversity of hardware accelerators in modern computing systems demand flexible, low-overhead program analysis tools. We present PASTA, a low-overhead and modular Program AnalysiS Tool Framework for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Mao Lin , Hyeran Jeon , Keren Zhou

In this paper, we accelerate a gravitational physics numerical modelling application using hardware accelerators -- Cell processor and Tesla CUDA GPU. We describe these new technologies and our approach in detail, and then present our final…

General Relativity and Quantum Cosmology · Physics 2009-09-23 Gaurav Khanna , Justin McKennon

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

3D Gaussian Splatting (3DGS) has recently emerged as an innovative and efficient 3D representation technique. While its potential for extended reality (XR) applications is frequently highlighted, its practical effectiveness remains…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Shi Qiu , Binzhu Xie , Qixuan Liu , Pheng-Ann Heng

Recent advancements in 3D Gaussian Splatting (3DGS) have made a significant impact on rendering and reconstruction techniques. Current research predominantly focuses on improving rendering performance and reconstruction quality using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Yinlong Bai , Hongxin Zhang , Sheng Zhong , Junkai Niu , Hai Li , Yijia He , Yi Zhou

We describe and analyze a simple algorithm for principal component analysis and singular value decomposition, VR-PCA, which uses computationally cheap stochastic iterations, yet converges exponentially fast to the optimal solution. In…

Machine Learning · Computer Science 2015-08-03 Ohad Shamir

3D Gaussian Splatting (3D-GS) has recently emerged as a powerful technique for real-time, photorealistic rendering by optimizing anisotropic Gaussian primitives from view-dependent images. While 3D-GS has been extended to scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Mengjiao Han , Andres Sewell , Joseph Insley , Janet Knowles , Victor A. Mateevitsi , Michael E. Papka , Steve Petruzza , Silvio Rizzi

Currently, the area of geometric modeling and the construction of 3D models based on point clouds from laser sensors is actively developing. One of the basic tasks of geometric modeling is the reconstruction of a surface from a cloud of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-09 Marat Ildarovich Khabibulin

We describe an open source GPU implementation of a hybrid symplectic N-body integrator, GENGA (Gravitational ENcounters with Gpu Acceleration), designed to integrate planet and planetesimal dynamics in the late stage of planet formation and…

Earth and Planetary Astrophysics · Physics 2014-11-06 Simon L. Grimm , Joachim G. Stadel

Recently, 3D Gaussian Splatting (3DGS) has enabled photorealistic view synthesis at high inference speeds. However, its splatting-based rendering model makes several approximations to the rendering equation, reducing physical accuracy. We…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Chinmay Talegaonkar , Yash Belhe , Ravi Ramamoorthi , Nicholas Antipa

Presenting a 3D scene from multiview images remains a core and long-standing challenge in computer vision and computer graphics. Two main requirements lie in rendering and reconstruction. Notably, SOTA rendering quality is usually achieved…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Mulin Yu , Tao Lu , Linning Xu , Lihan Jiang , Yuanbo Xiangli , Bo Dai