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Critical points mark locations in the domain where the level-set topology of a scalar function undergoes fundamental changes and thus indicate potentially interesting features in the data. Established methods exist to locate and relate such…

Human-Computer Interaction · Computer Science 2023-08-11 Dominik Vietinghoff , Michael Böttinger , Gerik Scheuermann , Christian Heine

An important task in visualization is the extraction and highlighting of dominant features in data to support users in their analysis process. Topological methods are a well-known means of identifying such features in deterministic fields.…

Human-Computer Interaction · Computer Science 2023-01-09 Dominik Vietinghoff , Michael Böttinger , Gerik Scheuermann , Christian Heine

This work focuses on visualizing uncertainty of local divergence of two-dimensional vector fields. Divergence is one of the fundamental attributes of fluid flows, as it can help domain scientists analyze potential positions of sources…

Marching squares (MS) and marching cubes (MC) are widely used algorithms for level-set visualization of scientific data. In this paper, we address the challenge of uncertainty visualization of the topology cases of the MS and MC algorithms…

Graphics · Computer Science 2021-08-09 Tushar M. Athawale , Sudhanshu Sane , Chris R. Johnson

Morse complexes are gradient-based topological descriptors with close connections to Morse theory. They are widely applicable in scientific visualization as they serve as important abstractions for gaining insights into the topology of…

Graphics · Computer Science 2019-12-16 Tushar Athawale , Dan Maljovec , Chris R. Johnson , Valerio Pascucci , Bei Wang

The increasing adoption of Deep Neural Networks (DNNs) has led to their application in many challenging scientific visualization tasks. While advanced DNNs offer impressive generalization capabilities, understanding factors such as model…

We present a general approach to visualizing uncertainty in static 2-D statistical graphics. If we treat a visualization as a function of its underlying quantities, uncertainty in those quantities induces a distribution over images. We show…

Methodology · Statistics 2025-12-10 Bernarda Petek , David Nabergoj , Erik Štrumbelj

The modeling and uncertainty quantification of closed curves is an important problem in the field of shape analysis, and can have significant ramifications for subsequent statistical tasks. Many of these tasks involve collections of closed…

Machine Learning · Statistics 2023-03-15 Hengrui Luo , Justin D. Strait

Critical point tracking is a core topic in scientific visualization for understanding the dynamic behavior of time-varying vector field data. The topological notion of robustness has been introduced recently to quantify the structural…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Lin Yan , Paul Aaron Ullrich , Luke P. Van Roekel , Bei Wang , Hanqi Guo

Uncertainty quantification is a primary challenge for reliable modeling and simulation of complex stochastic dynamics. Such problems are typically plagued with incomplete information that may enter as uncertainty in the model parameters, or…

Probability · Mathematics 2015-07-15 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Petr Plechac

Accurately detecting multiple change-points is critical for various applications, but determining the optimal number of change-points remains a challenge. Existing approaches based on information criteria attempt to balance goodness-of-fit…

Methodology · Statistics 2023-12-19 Hui Chen , Yinxu Jia , Guanghui Wang , Changliang Zou

While recent foundation models have enabled significant breakthroughs in monocular depth estimation, a clear path towards safe and reliable deployment in the real-world remains elusive. Metric depth estimation, which involves predicting…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Steven Landgraf , Rongjun Qin , Markus Ulrich

Uncertainty estimation is essential to make neural networks trustworthy in real-world applications. Extensive research efforts have been made to quantify and reduce predictive uncertainty. However, most existing works are designed for…

Machine Learning · Computer Science 2022-10-07 Myong Chol Jung , He Zhao , Joanna Dipnall , Belinda Gabbe , Lan Du

Computational molecular modeling and visualization has seen significant progress in recent years with sev- eral molecular modeling and visualization software systems in use today. Nevertheless the molecular biology community lacks…

Computational Engineering, Finance, and Science · Computer Science 2016-05-20 Muhibur Rasheed , Nathan Clement , Abhishek Bhowmick , Chandrajit Bajaj

Understanding and evaluating uncertainty play a key role in decision-making. When a viewer studies a visualization that demands inference, it is necessary that uncertainty is portrayed in it. This paper showcases the importance of…

Human-Computer Interaction · Computer Science 2023-01-19 Krisha Mehta

Uncertainty quantification for Particle Image Velocimetry (PIV) is critical for comparing flow fields with Computational Fluid Dynamics (CFD) results, and model design and validation. However, PIV features a complex measurement chain with…

Fluid Dynamics · Physics 2021-07-07 Lalit K. Rajendran , Sayantan Bhattacharya , Sally P. M. Bane , Pavlos P. Vlachos

Visualization and analysis of multivariate data and their uncertainty are top research challenges in data visualization. Constructing fiber surfaces is a popular technique for multivariate data visualization that generalizes the idea of…

Methodology · Statistics 2024-07-26 Tushar M. Athawale , Chris R. Johnson , Sudhanshu Sane , David Pugmire

We study computing geometric problems on uncertain points. An uncertain point is a point that does not have a fixed location, but rather is described by a probability distribution. When these probability distributions are restricted to a…

Computational Geometry · Computer Science 2012-05-03 Allan Jorgensen , Maarten Löffler , Jeff M. Phillips

Uncertainty quantification of the photogrammetry process is essential for providing per-point accuracy credentials of the point clouds. Unlike airborne LiDAR, whose accuracy generally remains consistent with objects with varying geometric…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Debao Huang , Rongjun Qin

Uncertainty quantification is crucial for the deployment of image restoration models in safety-critical domains, like autonomous driving and biological imaging. To date, methods for uncertainty visualization have mainly focused on per-pixel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Elias Nehme , Omer Yair , Tomer Michaeli
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