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We consider the following problem in computational geometry: given, in the d-dimensional real space, a set of points marked as positive and a set of points marked as negative, such that the convex hull of the positive set does not intersect…

Optimization and Control · Mathematics 2024-07-30 Michele Barbato , Alberto Ceselli , Rosario Messana

An incremental approach for computation of convex hull for data points in two-dimensions is presented. The algorithm is not output-sensitive and costs a time that is linear in the size of data points at input. Graham's scan is applied only…

Computational Geometry · Computer Science 2022-02-11 Debashis Mukherjee

We present a simple and efficient acceleration technique for an arbitrary method for computing the Euclidean projection of a point onto a convex polytope, defined as the convex hull of a finite number of points, in the case when the number…

Optimization and Control · Mathematics 2024-10-28 M. V. Dolgopolik

Deep convolutional neural networks (ConvNets) of 3-dimensional kernels allow joint modeling of spatiotemporal features. These networks have improved performance of video and volumetric image analysis, but have been limited in size due to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 David Budden , Alexander Matveev , Shibani Santurkar , Shraman Ray Chaudhuri , Nir Shavit

Creation of collision objects for 3D models is a time-consuming task, requiring modelers to manually place primitives such as bounding boxes, capsules, spheres, and other convex primitives to approximate complex meshes. While there has been…

Graphics · Computer Science 2026-02-10 Julian Knodt , Xifeng Gao

Energy minimization has been an intensely studied core problem in computer vision. With growing image sizes (2D and 3D), it is now highly desirable to run energy minimization algorithms in parallel. But many existing algorithms, in…

Computer Vision and Pattern Recognition · Computer Science 2015-03-06 K. S. Sesh Kumar , Alvaro Barbero , Stefanie Jegelka , Suvrit Sra , Francis Bach

In the preprocessing framework one is given a set of regions that one is allowed to preprocess to create some auxiliary structure such that when a realization of these regions is given, consisting of one point per region, this auxiliary…

Computational Geometry · Computer Science 2026-02-02 Maarten Löffler , Benjamin Raichel

General Purpose computing on Graphical Processing Units (GPGPU) has resulted in unprecedented levels of speedup over its CPU counterparts, allowing programmers to harness the computational power of GPU shader cores to accelerate other…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-20 Vani Nagarajan , Milind Kulkarni

With the growing significance of graphs as an effective representation of data in numerous applications, efficient graph analysis using modern machine learning is receiving a growing level of attention. Deep learning approaches often…

Motivated by the increasing interest in applications of graph geodesic convexity in machine learning and data mining, we present a heuristic for computing the geodesic convex hull of node sets in networks. It generates a set of almost…

Social and Information Networks · Computer Science 2022-06-16 Florian Seiffarth , Tamás Horváth , Stefan Wrobel

The edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

Limits on power dissipation have pushed CPUs to grow in parallel processing capabilities rather than clock rate, leading to the rise of "manycore" or GPU-like processors. In order to achieve the best performance, applications must be able…

This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging…

Computational Physics · Physics 2020-01-08 Lianhua Zhu , Peng Wang , Songze Chen , Zhaoli Guo , Yonghao Zhang

Incoherent dedispersion is a computationally intensive problem that appears frequently in pulsar and transient astronomy. For current and future transient pipelines, dedispersion can dominate the total execution time, meaning its…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Benjamin R. Barsdell , Matthew Bailes , David G. Barnes , Christopher J. Fluke

Many research works have been performed on implementation of Vitrerbi decoding algorithm on GPU instead of FPGA because this platform provides considerable flexibility in addition to great performance. Recently, the recently-introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Alireza Mohammadidoost , Matin Hashemi

Deep 3-dimensional (3D) Convolutional Network (ConvNet) has shown promising performance on video recognition tasks because of its powerful spatio-temporal information fusion ability. However, the extremely intensive requirements on memory…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Haonan Wang , Jun Lin , Zhongfeng Wang

Sliding window convolutional networks (ConvNets) have become a popular approach to computer vision problems such as image segmentation, and object detection and localization. Here we consider the problem of inference, the application of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-21 Aleksandar Zlateski , Kisuk Lee , H. Sebastian Seung

In this paper, we present Ray-shooting Quickhull, which is a simple, randomized, outputsensitive version of the Quickhull algorithm for constructing the convex hull of a set of n points in the plane. We show that the randomized Ray-shooting…

Computational Geometry · Computer Science 2024-10-01 Michael T. Goodrich , Ryuto Kitagawa

This work proposes a GPU tensor core approach that encodes the arithmetic reduction of $n$ numbers as a set of chained $m \times m$ matrix multiply accumulate (MMA) operations executed in parallel by GPU tensor cores. The asymptotic running…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Cristóbal A. Navarro , Roberto Carrasco , Ricardo J. Barrientos , Javier A. Riquelme , Raimundo Vega

UAV missions often require specific geometric constraints to be satisfied between ground locations and the vehicle location. Such requirements are typical for contexts where line-of-sight must be maintained between the vehicle location and…

Robotics · Computer Science 2024-02-06 Andrew Willis , Collin Hague , Artur Wolek , Kevin Brink