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Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

Gaussian Splatting (GS) is a recent and pivotal technique in 3D computer graphics. GS-based algorithms almost always bypass classical methods such as ray tracing, which offer numerous inherent advantages for rendering. For example, ray…

Simulating non-wetting fluid invasion in volumetric images of porous materials is of broad interest in applications as diverse as electrochemical devices and CO2 sequestration. Among available methods, image-based algorithms offer much…

Fluid Dynamics · Physics 2025-01-07 Jeff T Gostick , Niloofar Misaghian , Ashkan Irannezhad , Benzhong Zhao

High resolution (HR) 3D images are widely used nowadays, such as medical images like Magnetic Resonance Imaging (MRI) and Computed Tomography (CT). However, segmentation of these 3D images remains a challenge due to their high spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-07-11 Hongyi Wang , Lanfen Lin , Hongjie Hu , Qingqing Chen , Yinhao Li , Yutaro Iwamoto , Xian-Hua Han , Yen-Wei Chen , Ruofeng Tong

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

Mathematical Software · Computer Science 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

The recent advancement of edge computing enables researchers to optimize various deep learning architectures to employ them in edge devices. In this study, we aim to optimize Xception architecture which is one of the most popular deep…

Computer Vision and Pattern Recognition · Computer Science 2024-11-13 Md Arid Hasan , Krishno Dey

While 6D object pose estimation has recently made a huge leap forward, most methods can still only handle a single or a handful of different objects, which limits their applications. To circumvent this problem, category-level object pose…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Yan Di , Ruida Zhang , Zhiqiang Lou , Fabian Manhardt , Xiangyang Ji , Nassir Navab , Federico Tombari

This work introduces a kernel-independent, multilevel, adaptive algorithm for efficiently evaluating a discrete convolution kernel with a given source distribution. The method is based on linear algebraic tools such as low rank…

Numerical Analysis · Mathematics 2025-07-11 Anna Yesypenko , Chao Chen , Per-Gunnar Martinsson

Twenty-five years ago, Crow published the shadow volume approach for determining shadowed regions in a scene. A decade ago, Heidmann described a hardware-accelerated stencil buffer-based shadow volume algorithm. Unfortunately…

Graphics · Computer Science 2007-05-23 Cass Everitt , Mark J. Kilgard

We consider an inertial primal-dual fixed point algorithm (IPDFP) to compute the minimizations of the following Problem (1.1). This is a full splitting approach, in the sense that the nonsmooth functions are processed individually via their…

Optimization and Control · Mathematics 2016-04-20 Meng Wen , Yu-Chao Tang , Jigen Peng

Swept volume computation, the determination of regions occupied by moving objects, is essential in graphics, robotics, and manufacturing. Existing approaches either explicitly track surfaces, suffering from robustness issues under complex…

Computational Geometry · Computer Science 2025-09-12 Pengfei Wang , Yuexin Yang , Shuangmin Chen , Shiqing Xin , Changhe Tu , Wenping Wang

We introduce a method for high-quality 3D reconstruction from multi-view images. Our method uses a new point-based representation, the regularized dipole sum, which generalizes the winding number to allow for interpolation of per-point…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Hanyu Chen , Bailey Miller , Ioannis Gkioulekas

Generalist robot policies built upon 2D visual representations excel at semantic reasoning but inherently lack the explicit 3D spatial awareness required for high-precision tasks. Existing 3D integration methods struggle to bridge this gap…

Robotics · Computer Science 2026-03-23 Xinzhang Yang , Renjun Wu , Jinyan Liu , Xuesong Li

We suggest a time-effective algorithm to calculate tight focusing of a collimated continuous-wave laser beam with an arbitrary cross-section light vector distribution by a high-aperture microscope objective into a planar microcavity. This…

Optics · Physics 2023-08-09 Stepan Boichenko

We propose a new modified primal-dual proximal best approximation method for solving convex not necessarily differentiable optimization problems. The novelty of the method relies on introducing memory by taking into account iterates…

Optimization and Control · Mathematics 2018-04-18 Ewa M. Bednarczuk , Anna Jezierska , Krzysztof E. Rutkowski

Reconstructing the shape and appearance of real-world objects using measured 2D images has been a long-standing problem in computer vision. In this paper, we introduce a new analysis-by-synthesis technique capable of producing high-quality…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Fujun Luan , Shuang Zhao , Kavita Bala , Zhao Dong

Approximating partial differential equations for extensive industrial and scientific applications requires leveraging the power of modern high-performance computing. In large-scale parallel computations, the geometrical discretisation…

Numerical Analysis · Mathematics 2024-12-30 Pere A. Martorell , Santiago Badia

In this paper we propose the Ray-Patch querying, a novel model to efficiently query transformers to decode implicit representations into target views. Our Ray-Patch decoding reduces the computational footprint and increases inference speed…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 T. Berriel Martins , Javier Civera

Ray tracing is a widely used technique for modeling optical systems, involving sequential surface-by-surface computations, which can be computationally intensive. We propose Ray2Ray, a novel method that leverages implicit neural…

Machine Learning · Computer Science 2025-07-29 Shiva Sinaei , Chuanjun Zheng , Kaan Akşit , Daisuke Iwai

Optimization algorithms such as projected Newton's method, FISTA, mirror descent, and its variants enjoy near-optimal regret bounds and convergence rates, but suffer from a computational bottleneck of computing ``projections'' in…

Machine Learning · Computer Science 2023-03-13 Jai Moondra , Hassan Mortagy , Swati Gupta