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We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movement approach and relies on a special level set method for…

数值分析 · 数学 2025-04-08 Takeshi Ohtsuka , Yen-Hsi Richard Tsai

We introduce multi-frequency vector diffusion maps (MFVDM), a new framework for organizing and analyzing high dimensional datasets. The new method is a mathematical and algorithmic generalization of vector diffusion maps (VDM) and other…

机器学习 · 计算机科学 2019-06-07 Yifeng Fan , Zhizhen Zhao

Scalar features in time-dependent fluid flow are traditionally visualized using 3D representation, and their topology changes over time are often conveyed with abstract graphs. Using such techniques, however, the structural details of…

Different (not only by sign) affine connections are introduced for contravariant and covariant tensor fields over a differentiable manifold by means of a non-canonical contraction operator, defining the notion dual bases and commuting with…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Manoff

Visual odometry (VO) is a prevalent way to deal with the relative localization problem, which is becoming increasingly mature and accurate, but it tends to be fragile under challenging environments. Comparing with classical geometry-based…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Ke Wang , Sai Ma , Junlan Chen , Fan Ren

A new approach for simulating flows over complex geometries is developed by introducing an accurate virtual interpolation point scheme as well as a virtual local stencil approach. The present method is based on the concept of point…

数值分析 · 数学 2014-02-05 Seong-Kwan Park , Gahyung Jo , Hi Jun Choe

A method is proposed to estimate the velocity field of an unsteady flow using a limited number of flow measurements. The method is based on a non-linear low-dimensional model of the flow and on expanding the velocity field in terms of…

最优化与控制 · 数学 2009-11-13 Marcelo Buffoni , Simone Camarri , Angelo Iollo , Edoardo Lombardi , Maria-Vittoria Salvetti

Auto-vectorization is a fundamental optimization for modern compilers to exploit SIMD parallelism. However, state-of-the-art approaches still struggle to handle intricate code patterns, often requiring manual hints or domain-specific…

Recent vision-language model (VLM)-based approaches have achieved impressive results on image vectorization tasks. However, they are typically evaluated on synthetic benchmarks, where clean SVGs are rasterized at high resolution and then…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Tarun Gehlaut , Difan Liu , Charu Bansal , Krutik Malani , Souymodip Chakraborty , Ankit Phogat , Matthew Fisher , Vineet Batra

Motion planning for vehicles under the influence of flow fields can benefit from the idea of streamline-based planning, which exploits ideas from fluid dynamics to achieve computational efficiency. Important to such planners is an efficient…

机器人学 · 计算机科学 2021-03-24 K. Y. Cadmus To , Chanyeol Yoo , Stuart Anstee , Robert Fitch

The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time series. In this work we present the…

数据分析、统计与概率 · 物理学 2010-02-25 Bartolo Luque , Lucas Lacasa , Fernando Ballesteros , Jordi Luque

The traditional mode of recording faults in heavy factory equipment has been via hand marked inspection sheets, wherein a machine engineer manually marks the faulty machine regions on a paper outline of the machine. Over the years, millions…

计算机视觉与模式识别 · 计算机科学 2018-12-19 Rohit Rahul , Arindam Chowdhury , Animesh , Samarth Mittal , Lovekesh Vig

Leveraging the SIMD capability of modern CPU architectures is mandatory to take full benefit of their increasing performance. To exploit this feature, binary executables must be explicitly vectorized by the developers or an automatic…

分布式、并行与集群计算 · 计算机科学 2023-07-03 Hayfa Tayeb , Ludovic Paillat , Berenger Bramas

We present a neural network approach to compute stream functions, which are scalar functions with gradients orthogonal to a given vector field. As a result, isosurfaces of the stream function extract stream surfaces, which can be visualized…

图形学 · 计算机科学 2023-07-18 Skylar Wolfgang Wurster , Hanqi Guo , Tom Peterka , Han-Wei Shen

Graphs change over time, and typically variations on the small multiples or animation pattern is used to convey this dynamism visually. However, both of these classical techniques have significant drawbacks, so a new approach, Storyline…

社会与信息网络 · 计算机科学 2014-12-23 Dustin L. Arendt , Leslie M. Blaha

Vector fields are a highly abstract physical concept that is often taught using visualizations. Although vector representations are particularly suitable for visualizing quantitative data, they are often confusing, especially when…

物理教育 · 物理学 2024-02-20 Christoph Hoyer , Raimund Girwidz

Creating a vision pipeline for different datasets to solve a computer vision task is a complex and time consuming process. Currently, these pipelines are developed with the help of domain experts. Moreover, there is no systematic structure…

计算机视觉与模式识别 · 计算机科学 2022-09-08 Aditya Kapoor , Nijil George , Vartika Sengar , Vighnesh Vatsal , Jayavardhana Gubbi

Deep learning-based optical flow (DLOF) extracts features in adjacent video frames with deep convolutional neural networks. It uses those features to estimate the inter-frame motions of objects at the pixel level. In this article, we…

Dynamic scene understanding is one of the most conspicuous field of interest among computer vision community. In order to enhance dynamic scene understanding, pixel-wise segmentation with neural networks is widely accepted. The latest…

计算机视觉与模式识别 · 计算机科学 2024-02-15 Ge Shi , Zhili Yang

Autonomous driving requires accurate local scene understanding information. To this end, autonomous agents deploy object detection and online BEV lane graph extraction methods as a part of their perception stack. In this work, we propose an…

计算机视觉与模式识别 · 计算机科学 2023-09-28 Yigit Baran Can , Alexander Liniger , Danda Pani Paudel , Luc Van Gool