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Parallel coordinates plot (PCP) is an excellent tool for multivariate visualization and analysis, but it may fail to reveal inherent structures for datasets with a large number of items. In this paper, we propose a suite of novel…

Graphics · Computer Science 2013-11-05 Xin Zhao , Bo Li

Parallel coordinates plot is one of the most popular and widely used visualization techniques for multi-dimensional data sets. Its main challenges for large-scale data sets are visual clutter and overplotting which hamper the recognition of…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Wenqiang Cui , Girts Strazdins , Hao Wang

With the continuous increase in the computational power and resources of modern high-performance computing (HPC) systems, large-scale ensemble simulations have become widely used in various fields of science and engineering, and especially…

Human-Computer Interaction · Computer Science 2022-09-23 Keita Watanabe , Naohisa Sakamoto , Jorji Nonaka , Yasumitsu Maejima

Edge bundling techniques cluster edges with similar attributes (i.e. similarity in direction and proximity) together to reduce the visual clutter. All edge bundling techniques to date implicitly or explicitly cluster groups of individual…

Graphics · Computer Science 2021-10-29 Markus Wallinger , Daniel Archambault , David Auber , Martin Nöllenburg , Jaakko Peltonen

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Bundle recommendation aims to recommend a bundle of related items to users, which can satisfy the users' various needs with one-stop convenience. Recent methods usually take advantage of both user-bundle and user-item interactions…

Information Retrieval · Computer Science 2023-01-18 Yunshan Ma , Yingzhi He , An Zhang , Xiang Wang , Tat-Seng Chua

We present angle-uniform parallel coordinates, a data-independent technique that deforms the image plane of parallel coordinates so that the angles of linear relationships between two variables are linearly mapped along the horizontal axis…

Graphics · Computer Science 2023-04-12 Kaiyi Zhang , Liang Zhou , Lu Chen , Shitong He , Daniel Weiskopf , Yunhai Wang

We consider the problem of clustering misaligned curves. According to our similarity measure, two curves are considered similar if they have the same shape after being aligned, and the warping function does not differ from the identity…

Methodology · Statistics 2018-01-03 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Fen Yang

This paper studies syzygies of curves that have been embedded in projective space by line bundles of large degree. The proofs take advantage of the relationship between syzygies and spaces of section of vector bundles associated to the…

Algebraic Geometry · Mathematics 2007-05-23 Montserrat Teixidor i Bigas

Image vectorization converts raster images into vector graphics composed of regions separated by curves. Typical vectorization methods first define the regions by grouping similar colored regions via color quantization, then approximate…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Roy Y. He , Sung Ha Kang , Jean-Michel Morel

This paper presents a graph bundling algorithm that agglomerates edges taking into account both spatial proximity as well as user-defined criteria in order to reveal patterns that were not perceivable with previous bundling techniques. Each…

Graphics · Computer Science 2015-04-13 Daniel C. Moura

Line-based density plots are used to reduce visual clutter in line charts with a multitude of individual lines. However, these traditional density plots are often perceived ambiguously, which obstructs the user's identification of…

Graphics · Computer Science 2023-11-23 Yumeng Xue , Patrick Paetzold , Rebecca Kehlbeck , Bin Chen , Kin Chung Kwan , Yunhai Wang , Oliver Deussen

The efficiency of modern computer graphics allows us to explore collections of space curves simultaneously with "drag-to-rotate" interfaces. This inspires us to replace "scatterplots of points" with "scatterplots of curves" to…

Human-Computer Interaction · Computer Science 2022-03-11 Nate Strawn

Congealing is a flexible nonparametric data-driven framework for the joint alignment of data. It has been successfully applied to the joint alignment of binary images of digits, binary images of object silhouettes, grayscale MRI images,…

Machine Learning · Computer Science 2019-02-05 Marwan Mattar , Michael Ross , Erik Learned-Miller

Bundling of graph edges (node-to-node connections) is a common technique to enhance visibility of overall trends in the edge structure of a large graph layout, and a large variety of bundling algorithms have been proposed. However, with…

Computational Geometry · Computer Science 2016-09-06 Jaakko Peltonen , Ziyuan Lin

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

For applications in computing, Bezier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R^3 and yields a smooth polynomial curve C embedded in R^3. It is of interest to understand when L and C have the…

Geometric Topology · Mathematics 2012-11-15 J. Li , T. J. Peters , D. Marsh , K. E. Jordan

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

${\cal U}$ntil now the representation (i.e. plotting) of curve in Parallel Coordinates is constructed from the point $\leftrightarrow$ line duality. The result is a ``line-curve'' which is seen as the envelope of it's tangents. Usually this…

Other Computer Science · Computer Science 2007-05-23 Zur Izhakian

Parallel batched data structures are designed to process synchronized batches of operations in a parallel computing model. In this paper, we propose parallel combining, a technique that implements a concurrent data structure from a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-14 Vitaly Aksenov , Petr Kuznetsov , Anatoly Shalyto
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