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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,…

Data Structures and Algorithms · Computer Science 2018-10-15 Guy E. Blelloch , Yan Gu , Julian Shun , Yihan Sun

This work presents a fully GPU-accelerated algorithm for the polygonal mesh generator known as Polylla. Polylla is a tri-to-polygon mesh generator, which benefits from the half-edge data structure to manage any polygonal shape. The proposed…

Graphics · Computer Science 2024-03-25 Sergio Salinas-Fernández , Nancy Hitschfeld-Kahler , Roberto Carrasco

Hypergraphs, which use hyperedges to capture groupwise interactions among different entities, have gained increasing attention recently for their versatility in effectively modeling real-world networks. In this paper, we study the problem…

Data Structures and Algorithms · Computer Science 2025-04-04 Haozhe Yin , Kai Wang , Wenjie Zhang , Ying Zhang , Ruijia Wu , Xuemin Lin

We introduce a geometric multigrid method for solving linear systems arising from variational problems on surfaces in geometry processing, Gravo MG. Our scheme uses point clouds as a reduced representation of the levels of the multigrid…

Computational Geometry · Computer Science 2023-07-12 Ruben Wiersma , Ahmad Nasikun , Elmar Eisemann , Klaus Hildebrandt

We present efficient algorithms to build data structures and the lists needed for fast multipole methods. The algorithms are capable of being efficiently implemented on both serial, data parallel GPU and on distributed architectures. With…

Mathematical Software · Computer Science 2013-01-10 Qi Hu , Nail A. Gumerov , Ramani Duraiswami

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…

Computational Geometry · Computer Science 2020-04-03 Talha Bin Masood , Tathagata Ray , Vijay Natarajan

In this work we present an algorithm to construct an infinitely differentiable smooth surface from an input consisting of a (rectilinear) triangulation of a surface of arbitrary shape. The original surface can have non-trivial genus and…

Numerical Analysis · Mathematics 2019-10-01 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

This paper propose iFlame, a novel transformer-based network architecture for mesh generation. While attention-based models have demonstrated remarkable performance in mesh generation, their quadratic computational complexity limits…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Hanxiao Wang , Biao Zhang , Weize Quan , Dong-Ming Yan , Peter Wonka

Multiplication is a fundamental operation in many applications, and multipliers are widely adopted in various circuits. However, optimizing multipliers is challenging due to the extensive design space. In this paper, we propose a multiplier…

Hardware Architecture · Computer Science 2024-12-30 Dongsheng Zuo , Jiadong Zhu , Yikang Ouyang , Yuzhe Ma

We present MeshLLM, a novel framework that leverages large language models (LLMs) to understand and generate text-serialized 3D meshes. Our approach addresses key limitations in existing methods, including the limited dataset scale when…

A new scalable parallel math library, dMath, is presented in this paper that demonstrates leading scaling when using intranode, or internode, hybrid-parallelism for deep-learning. dMath provides easy-to-use distributed base primitives and a…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Steven Eliuk , Cameron Upright , Anthony Skjellum

This paper presents the Dynamic Simultaneous Multi-threaded Architecture (DSMT). DSMT efficiently exe-cutes multiple threads from a single program on a SMT processor core. To accomplish this, threads are generated dynamically from a…

Hardware Architecture · Computer Science 2024-09-16 Daniel Ortiz-Arroyo , Ben Lee

Maximal Biclique Enumeration (MBE) holds critical importance in graph theory with applications extending across fields such as bioinformatics, social networks, and recommendation systems. However, its computational complexity presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-23 Chou-Ying Hsieh , Chia-Ming Chang , Po-Hsiu Cheng , Sy-Yen Kuo

The development of deep neural networks is witnessing fast growth in network size, which requires novel hardware computing platforms with large bandwidth and low energy consumption. Optical computing has been a potential candidate for…

In this work, we propose an automatic mesh generation algorithm, FlowMesher, which can be used to generate unstructured meshes for mesh domains in any shape with minimum (or even no) user intervention. The approach can generate high-quality…

Graphics · Computer Science 2021-03-11 Zhujiang Wang , Arun R. Srinivasa , J. N. Reddy , Adam Dubrowski

In this paper, we propose a parallel and scalable approach for geodesic distance computation on triangle meshes. Our key observation is that the recovery of geodesic distance with the heat method from [Crane et al. 2013] can be reformulated…

Graphics · Computer Science 2019-08-02 Jiong Tao , Juyong Zhang , Bailin Deng , Zheng Fang , Yue Peng , Ying He

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

Databases · Computer Science 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

We propose a dense tensor accelerator called VectorMesh, a scalable, memory-efficient architecture that can support a wide variety of DNN and computer vision workloads. Its building block is a tile execution unit~(TEU), which includes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-29 Yu-Sheng Lin , Wei-Chao Chen. Chia-Lin Yang , Shao-Yi Chien

This paper presents a new algorithm, Weighted Squared Volume Minimization (WSVM), for generating high-quality tetrahedral meshes from closed triangle meshes. Drawing inspiration from the principle of minimal surfaces that minimize squared…

Graphics · Computer Science 2024-09-10 Kaixin Yu , Yifu Wang , Peng Song , Xiangqiao Meng , Ying He , Jianjun Chen
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