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3D volume rendering is widely used to reveal insightful intrinsic patterns of volumetric datasets across many domains. However, the complex structures and varying scales of volumetric data can make efficiently generating high-quality volume…

Graphics · Computer Science 2023-10-17 Jianxin Sun , David Lenz , Hongfeng Yu , Tom Peterka

Functional approximation as a high-order continuous representation provides a more accurate value and gradient query compared to the traditional discrete volume representation. Volume visualization directly rendered from functional…

Graphics · Computer Science 2024-09-04 Jianxin Sun , David Lenz , Hongfeng Yu , Tom Peterka

Compactly expressing large-scale datasets through Multivariate Functional Approximations (MFA) can be critically important for analysis and visualization to drive scientific discovery. Tackling such problems requires scalable data…

Numerical Analysis · Mathematics 2022-10-14 Vijay S. Mahadevan , David Lenz , Iulian Grindeanu , Thomas Peterka

In the framework of Symbolic Data Analysis (SDA), distribution-variables are a particular case of multi-valued variables: each unit is represented by a set of distributions (e.g. histograms, density functions or quantile functions), one for…

Methodology · Statistics 2018-04-20 Rosanna Verde , Antonio Irpino

To visually compare ensembles of volumes, dynamic volume lines (DVLs) represent each ensemble member as a 1D polyline. To compute these, the volume cells are sorted on a space-filling curve and scaled by the ensemble's local variation. The…

Graphics · Computer Science 2023-06-21 Stefan Zellmann , Serkan Demirci , Uğur Güdükbay

Effective data visualization is a key part of the discovery process in the era of big data. It is the bridge between the quantitative content of the data and human intuition, and thus an essential component of the scientific path from data…

With the rapid adoption of machine learning techniques for large-scale applications in science and engineering comes the convergence of two grand challenges in visualization. First, the utilization of black box models (e.g., deep neural…

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Multivariate spatial data plays an important role in computational science and engineering simulations. The potential features and hidden relationships in multivariate data can assist scientists to gain an in-depth understanding of a…

Human-Computer Interaction · Computer Science 2019-08-30 Xiangyang He , Yubo Tao , Qirui Wang , Hai Lin

Rich material data is complex, large and heterogeneous, integrating primary and secondary non-destructive testing data for spatial, spatio-temporal, as well as high-dimensional data analyses. Currently, materials experts mainly rely on…

Human-Computer Interaction · Computer Science 2025-05-13 Alexander Gall , Anja Heim , Eduard Gröller , Christoph Heinzl

Traditional analysis techniques may not be sufficient for astronomers to make the best use of the data sets that current and future instruments, such as the Square Kilometre Array and its Pathfinders, will produce. By utilizing the…

Instrumentation and Methods for Astrophysics · Physics 2010-01-14 Amr H. Hassan , Christopher J. Fluke , David G. Barnes

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

Nowadays simulations can produce petabytes of data to be stored in parallel filesystems or large-scale databases. This data is accessed over the course of decades often by thousands of analysts and scientists. However, storing these volumes…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-11 Salvatore Di Girolamo , Pirmin Schmid , Thomas Schulthess , Torsten Hoefler

FFT-based solvers are increasingly used by many researcher groups interested in modelling the mechanical behavior associated to a heterogeneous microstructure. A development is reported here that concerns the viscoelastic behavior of…

Classical Physics · Physics 2020-12-07 Stéphane André , Julien Boisse , Camille Noûs

We are living in the big data age: An ever increasing amount of data is being produced through data acquisition and computer simulations. While large scale analysis and simulations have received significant attention for cloud and…

Graphics · Computer Science 2019-02-26 Stefan Eilemann

Scientific simulations and experimental measurements produce vast amounts of spatio-temporal data, yet extracting meaningful insights remains challenging due to high dimensionality, complex structures, and missing information. Traditional…

Machine Learning · Computer Science 2025-12-01 Hamid Gadirov

Motivated by the challenges of analyzing high-dimensional ($p \gg n$) sequencing data from longitudinal microbiome studies, where samples are collected at multiple time points from each subject, we propose supervised functional tensor…

Methodology · Statistics 2024-10-15 Mohammad Samsul Alam , Ana-Maria Staicu , Pixu Shi

Implicit continuous models, such as functional models and implicit neural networks, are an increasingly popular method for replacing discrete data representations with continuous, high-order, and differentiable surrogates. These models…

Machine Learning · Computer Science 2025-08-12 Guanqun Ma , David Lenz , Hanqi Guo , Tom Peterka , Bei Wang

Recent technical advances in collecting spatial data have been increasing the demand for methods to analyze large spatial datasets. The statistical analysis for these types of datasets can provide useful knowledge in various fields.…

Methodology · Statistics 2021-06-16 Toshihiro Hirano

The widespread of data visualisation tools on smartphones has provided end users an easy way to track their health data, leading designers to put more effort into delivering suitable visualisations. Both academia and industry have developed…

Human-Computer Interaction · Computer Science 2023-11-08 Yasmeen Anjeer Alshehhi , Khlood Ahmad , Mohamed Abdelrazek , Alessio Bonti
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