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Cartograms are maps that rescale geographic regions (e.g., countries, districts) such that their areas are proportional to quantitative demographic data (e.g., population size, gross domestic product). Unlike conventional bar or pie charts,…

Computational Geometry · Computer Science 2019-11-12 Michael T. Gastner , Vivien Seguy , Pratyush More

We present VMap, a map-like rectangular space-filling visualization, to perform vertex-centric graph exploration. Existing visualizations have limited support for quality optimization among rectangular aspect ratios, vertex-edge…

Graphics · Computer Science 2023-06-02 Jiayi Xu , Han-Wei Shen

Embedding graphs in continous spaces is a key factor in designing and developing algorithms for automatic information extraction to be applied in diverse tasks (e.g., learning, inferring, predicting). The reliability of graph embeddings…

Machine Learning · Computer Science 2023-11-30 Andrea Marinoni , Pietro Lio' , Alessandro Barp , Christian Jutten , Mark Girolami

Shape-based metrics measure how faithfully a drawing D represents the structure of a graph G, using the proximity graph S of D. While some limited graph classes admit proximity drawings (i.e., optimally shape-faithful drawings, where S =…

Data Structures and Algorithms · Computer Science 2022-08-31 Amyra Meidiana , Seok-Hee Hong , Peter Eades

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi

When humans see a scene, they can roughly imagine the forces applied to objects based on their experience and use them to handle the objects properly. This paper considers transferring this "force-visualization" ability to robots. We…

Robotics · Computer Science 2023-04-13 Ryo Hanai , Yukiyasu Domae , Ixchel G. Ramirez-Alpizar , Bruno Leme , Tetsuya Ogata

A GraphMaps is a system that visualizes a graph using zoom levels, which is similar to a geographic map visualization. GraphMaps reveals the structural properties of the graph and enables users to explore the graph in a natural way by using…

Computational Geometry · Computer Science 2018-08-14 Debajyoti Mondal , Lev Nachmanson

Glyph-based visualization achieves an impressive graphic design when associated with comprehensive visual metaphors, which help audiences effectively grasp the conveyed information through revealing data semantics. However, creating such…

Human-Computer Interaction · Computer Science 2022-09-14 Lu Ying , Xinhuan Shu , Dazhen Deng , Yuchen Yang , Tan Tang , Lingyun Yu , Yingcai Wu

Map makers have long searched for a way to construct cartograms -- maps in which the sizes of geographic regions such as countries or provinces appear in proportion to their population or some other analogous property. Such maps are…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Michael T. Gastner , M. E. J. Newman

Modern autonomous vehicles and robots utilize versatile sensors for localization and mapping. The fidelity of these maps is paramount, as an accurate environmental representation is a prerequisite for stable and precise localization. Factor…

Robotics · Computer Science 2026-02-10 Mark Griguletskii , Danil Belov , Pavel Osinenko

Globally consistent dense maps are a key requirement for long-term robot navigation in complex environments. While previous works have addressed the challenges of dense mapping and global consistency, most require more computational…

We study methods to manipulate weights in stress-graph embeddings to improve convex straight-line planar drawings of 3-connected planar graphs. Stress-graph embeddings are weighted versions of Tutte embeddings, where solving a linear system…

Computational Geometry · Computer Science 2023-09-01 Alvin Chiu , David Eppstein , Michael T. Goodrich

Cartograms are a technique for visually representing geographically distributed statistical data, where values of a numerical attribute are mapped to the size of geographic regions. Contiguous cartograms preserve the adjacencies of the…

Computational Geometry · Computer Science 2026-04-16 Vladimir Molchanov , Hennes Rave , Lars Linsen

We propose a fast approximate algorithm for large graph matching. A new projected fixed-point method is defined and a new doubly stochastic projection is adopted to derive the algorithm. Previous graph matching algorithms suffer from high…

Computer Vision and Pattern Recognition · Computer Science 2012-08-13 Yao Lu , Kaizhu Huang , Cheng-Lin Liu

We present a space and time efficient practical parallel algorithm for approximating the diameter of massive weighted undirected graphs on distributed platforms supporting a MapReduce-like abstraction. The core of the algorithm is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Graph matching is an important and persistent problem in computer vision and pattern recognition for finding node-to-node correspondence between graph-structured data. However, as widely used, graph matching that incorporates pairwise…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Fu-Dong Wang , Gui-Song Xia , Nan Xue , Yipeng Zhang , Marcello Pelillo

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

Visualizing graphs using virtual physical models is probably the most heavily used technique for drawing graphs in practice. There are many algorithms that are efficient and produce high-quality layouts. If one requires that the layout also…

Discrete Mathematics · Computer Science 2013-09-09 Emden R. Gansner , Yifan Hu , Shankar Krishnan

In a rectilinear dual of a planar graph vertices are represented by simple rectilinear polygons and edges are represented by side-contact between the corresponding polygons. A rectilinear dual is called a cartogram if the area of each…

Discrete Mathematics · Computer Science 2012-01-05 Md. Jawaherul Alam , Therese Biedl , Stefan Felsner , Michael Kaufmann , Stephen G. Kobourov , Torsten Ueckerdt

This paper presents MetricGrids, a novel grid-based neural representation that combines elementary metric grids in various metric spaces to approximate complex nonlinear signals. While grid-based representations are widely adopted for their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Shu Wang , Yanbo Gao , Shuai Li , Chong Lv , Xun Cai , Chuankun Li , Hui Yuan , Jinglin Zhang
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