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The alpha complex, a subset of the Delaunay triangulation, has been extensively used as the underlying representation for biomolecular structures. We propose a GPU-based parallel algorithm for the computation of the alpha complex, which…

计算几何 · 计算机科学 2020-04-03 Talha Bin Masood , Tathagata Ray , Vijay Natarajan

Delaunay Triangulation(DT) is one of the important geometric problems that is used in various branches of knowledge such as computer vision, terrain modeling, spatial clustering and networking. Kinetic data structures have become very…

计算几何 · 计算机科学 2023-08-15 Nazanin Hadiniya , Mohammad Ghodsi

We propose the first GPU algorithm for the 3D triangulation refinement problem. For an input of a piecewise linear complex $\mathcal{G}$ and a constant $B$, it produces, by adding Steiner points, a constrained Delaunay triangulation…

图形学 · 计算机科学 2019-03-11 Zhenghai Chen , Tiow-Seng Tan

Brownian dynamics of colloidal particles on complex surfaces has found important applications in diverse physical, chemical and biological processes. However, current Brownian dynamics simulation algorithms mostly work for relatively simple…

软凝聚态物质 · 物理学 2019-11-26 Yuguang Yang , Bo Li

Computing the Delaunay triangulation (DT) of a given point set in $\mathbb{R}^D$ is one of the fundamental operations in computational geometry. Recently, Funke and Sanders (2017) presented a divide-and-conquer DT algorithm that merges two…

数据结构与算法 · 计算机科学 2019-02-21 Daniel Funke , Peter Sanders , Vincent Winkler

This paper presents a GPU parallel algorithm to generate a new kind of polygonal meshes obtained from Delaunay triangulations. To generate the polygonal mesh, the algorithm first uses a classification system to label each edge of an input…

分布式、并行与集群计算 · 计算机科学 2022-04-13 Sergio Salinas , José Ojeda , Nancy Hitschfeld , Alejandro Ortiz-Bernardin

We develop a novel parallel resampling algorithm for fully parallelized particle filters, which is designed with GPUs (graphics processing units) or similar parallel computing devices in mind. With our new algorithm, a full cycle of…

统计计算 · 统计学 2016-08-17 Kenichiro McAlinn , Teruo Nakatsuma

This paper presents a new scalable parallelization scheme to generate the 3D Delaunay triangulation of a given set of points. Our first contribution is an efficient serial implementation of the incremental Delaunay insertion algorithm. A…

计算几何 · 计算机科学 2018-11-07 Célestin Marot , Jeanne Pellerin , Jean-François Remacle

A novel approach to account for hard-body interactions in (overdamped) Brownian dynamics simulations is proposed for systems with non-vanishing force fields. The scheme exploits the analytically known transition probability for a Brownian…

计算物理 · 物理学 2012-11-07 Hans Behringer , Ralf Eichhorn

In this paper we show that many sequential randomized incremental algorithms are in fact parallel. We consider algorithms for several problems including Delaunay triangulation, linear programming, closest pair, smallest enclosing disk,…

数据结构与算法 · 计算机科学 2018-10-15 Guy E. Blelloch , Yan Gu , Julian Shun , Yihan Sun

Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) methodology provides exact particle tracking data in parts of the…

计算物理 · 物理学 2012-06-27 Benjamin Franz , Mark B. Flegg , S. Jonathan Chapman , Radek Erban

In parallel simulation, convergence and parallelism are often seen as inherently conflicting objectives. Improved parallelism typically entails lighter local computation and weaker coupling, which unavoidably slow the global convergence.…

图形学 · 计算机科学 2025-06-10 Lei Lan , Zixuan Lu , Chun Yuan , Weiwei Xu , Hao Su , Huamin Wang , Chenfanfu Jiang , Yin Yang

We propose a novel unifying scheme for parallel implementation of articulated robot dynamics algorithms. It is based on a unified Lie group notation for deriving the equations of motion of articulated robots, where various well-known…

机器人学 · 计算机科学 2016-09-23 Yajue Yang , Yuanqing Wu , Jia Pan

We present a technique designed for parallelizing large rigid body simulations, capable of exploiting multiple CPU cores within a computer and across a network. Our approach can be applied to simulate both unilateral and bilateral…

图形学 · 计算机科学 2024-03-27 Manas Kale , Paul G. Kry

We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

统计力学 · 物理学 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

计算物理 · 物理学 2017-01-05 Daniel Magee , Kyle E Niemeyer

Current trends in the computer graphics community propose leveraging the massive parallel computational power of GPUs to accelerate physically based simulations. Collision detection and solving is a fundamental part of this process. It is…

图形学 · 计算机科学 2021-10-06 Hugo Bertiche , Meysam Madadi , Sergio Escalera

We present new algorithms for the parallelization of Eulerian-Lagrangian interaction operations in the immersed boundary method. Our algorithms rely on two well-studied parallel primitives: key-value sort and segmented reduce. The use of…

分布式、并行与集群计算 · 计算机科学 2021-11-02 Andrew Kassen , Varun Shankar , Aaron L Fogelson

A novel and scalable geometric multi-level algorithm is presented for the numerical solution of elliptic partial differential equations, specially designed to run with high occupancy of streaming processors inside Graphics Processing…

数学软件 · 计算机科学 2017-03-22 J. T. Becerra-Sagredo , F. Mandujano , C. Malaga

Modern graphics processing units (GPUs) provide impressive computing resources, which can be accessed conveniently through the CUDA programming interface. We describe how GPUs can be used to considerably speed up molecular dynamics (MD)…

计算物理 · 物理学 2011-04-08 Peter H. Colberg , Felix Höfling
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