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The quest for regular models of arithmetic surfaces allows different viewpoints and approaches: using valuations or a covering by charts. In this article, we sketch both approaches and then show in a concrete example, how surprisingly…

Algebraic Geometry · Mathematics 2017-01-06 Anne Frühbis-Krüger , Stefan Wewers

We propose a visualization method to understand the effect of multidimensional projection on local subspaces, using implicit function differentiation. Here, we understand the local subspace as the multidimensional local neighborhood of data…

Machine Learning · Computer Science 2023-07-21 Rongzheng Bian , Yumeng Xue , Liang Zhou , Jian Zhang , Baoquan Chen , Daniel Weiskopf , Yunhai Wang

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang

We describe a technique for bundled curve representations in parallel-coordinates plots and present a controlled user study evaluating their effectiveness. Replacing the traditional C^0 polygonal lines by C^1 continuous piecewise Bezier…

Graphics · Computer Science 2015-03-19 Julian Heinrich , Yuan Luo , Arthur E. Kirkpatrick , Hao Zhang , Daniel Weiskopf

We present a novel de-homogenization approach for efficient design of high-resolution load-bearing structures. The proposed approach builds upon a streamline-based parametrization of the design domain, using a set of space-filling and…

Computational Engineering, Finance, and Science · Computer Science 2022-07-20 Junpeng Wang , Rüdiger Westermann , Jun Wu

Differentiable vector graphics have enabled powerful gradient-based optimization of vector primitives directly from raster images. However, existing frameworks formulate this as a flat optimization problem, forcing hundreds to thousands of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Jaerin Lee , Kanggeon Lee , Kyoung Mu Lee

We present Submerse, an end-to-end framework for visualizing flooding scenarios on large and immersive display ecologies. Specifically, we reconstruct a surface mesh from input flood simulation data and generate a to-scale 3D virtual scene…

Human-Computer Interaction · Computer Science 2025-01-17 Saeed Boorboor , Yoonsang Kim , Ping Hu , Josef M. Moses , Brian A. Colle , Arie E. Kaufman

Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

In graph learning, maps between graphs and their subgraphs frequently arise. For instance, when coarsening or rewiring operations are present along the pipeline, one needs to keep track of the corresponding nodes between the original and…

Machine Learning · Computer Science 2023-02-01 Marco Pegoraro , Riccardo Marin , Arianna Rampini , Simone Melzi , Luca Cosmo , Emanuele Rodolà

This paper presents SPLASH, a publicly available interactive visualisation tool for Smoothed Particle Hydrodynamics (SPH) simulations. Visualisation of SPH data is more complicated than for grid-based codes because the data is defined on a…

Astrophysics · Physics 2009-11-13 Daniel J. Price

Deep representation learning is a crucial procedure in multimedia analysis and attracts increasing attention. Most of the popular techniques rely on convolutional neural network and require a large amount of labeled data in the training…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Jinghua Wang , Adrian Hilton , Jianmin Jiang

Brain fiber tracts are widely used in studying brain diseases, which may lead to a better understanding of how disease affects the brain. The segmentation of brain fiber tracts assumed enormous importance in disease analysis. In this paper,…

Neurons and Cognition · Quantitative Biology 2020-11-04 Chaoqing Xu , Guodao Sun , Ronghua Liang , Xiufang Xu

A proper scene representation is central to the pursuit of spatial intelligence where agents can robustly reconstruct and efficiently understand 3D scenes. A scene representation is either metric, such as landmark maps in 3D reconstruction,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Juexiao Zhang , Gao Zhu , Sihang Li , Xinhao Liu , Haorui Song , Xinran Tang , Chen Feng

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

Finding inherent or processed links within a dataset allows to discover potential knowledge. The main contribution of this article is to define a global framework that enables optimal knowledge discovery by visually rendering co-occurences…

Social and Information Networks · Computer Science 2018-09-05 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet

Visual tracking addresses the problem of identifying and localizing an unknown target in a video given the target specified by a bounding box in the first frame. In this paper, we propose a dual network to better utilize features among…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Zhizhen Chi , Hongyang Li , Huchuan Lu , Ming-Hsuan Yang

A cost-effective and robust image-processing pipeline is presented for the detection and characterization of exfoliated two-dimensional (2D) material flakes in optical microscope images, designed to facilitate automation in van der Waals…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Yutao Li , Logan Sherlock , Ryan Benderson , Daniel Ostrom , Huandong Chen , Kazuhiro Fujita , Abhay Pasupathy

Despite recent advances in video segmentation, many opportunities remain to improve it using a variety of low and mid-level visual cues. We propose improvements to the leading streaming graph-based hierarchical video segmentation…

Computer Vision and Pattern Recognition · Computer Science 2014-02-17 Subarna Tripathi , Youngbae Hwang , Serge Belongie , Truong Nguyen

We present an algorithmic technique for visualizing the co-authorship networks and other networks modeled with hypergraphs (set systems). As more than two researchers can co-author a paper, a direct representation of the interaction of…

Social and Information Networks · Computer Science 2023-10-31 Mohsen Nafar , Hamed Azami Zenouzagh

Occlusions between consecutive frames have long posed a significant challenge in optical flow estimation. The inherent ambiguity introduced by occlusions directly violates the brightness constancy constraint and considerably hinders…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Shangkun Sun , Jiaming Liu , Thomas H. Li , Huaxia Li , Guoqing Liu , Wei Gao