212 citations · 323 across the 23 of their papers we have counts for
30 papers
DebrisTracer: Reliable Tracking in Hypervelocity Impact Fast Imaging
Théophane Loloum, Fabien Vivodtzev, David Hébert +3
This application paper presents DebrisTracer, a framework for the reliable tracking of debris in hypervelocity impact fast imaging. These noisy and highly specific datasets capture…
Distributed Path Compression for Piecewise Linear Morse-Smale Segmentations and Connected Components
Michael Will, Jonas Lukasczyk, Julien Tierny +1
This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. A…
A Practical Solver for Scalar Data Topological Simplification
Mohamed Kissi, Mathieu Pont, Joshua A. Levine +1
This paper presents a practical approach for the optimization of topological simplification, a central pre-processing step for the analysis and visualization of scalar data. Given…
Localized Evaluation for Constructing Discrete Vector Fields
Tanner Finken, Julien Tierny, Joshua A Levine
Topological abstractions offer a method to summarize the behavior of vector fields but computing them robustly can be challenging due to numerical precision issues. One alternative…
TTK is Getting MPI-Ready
Eve Le Guillou, Michael Will, Pierre Guillou +4
This system paper documents the technical foundations for the extension of the Topology ToolKit (TTK) to distributed-memory parallelism with the Message Passing Interface (MPI). Wh…
Merge Tree Geodesics and Barycenters with Path Mappings
Florian Wetzels, Mathieu Pont, Julien Tierny +1
Comparative visualization of scalar fields is often facilitated using similarity measures such as edit distances. In this paper, we describe a novel approach for similarity analysi…
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Mahieu Pont, Julien Tierny
This paper presents a computational framework for the Wasserstein auto-encoding of merge trees (MT-WAE), a novel extension of the classical auto-encoder neural network architecture…
Wasserstein Dictionaries of Persistence Diagrams
Keanu Sisouk, Julie Delon, Julien Tierny
This paper presents a computational framework for the concise encoding of an ensemble of persistence diagrams, in the form of weighted Wasserstein barycenters [100], [102] of a dic…
Parallel Computation of Piecewise Linear Morse-Smale Segmentations
Robin G. C. Maack, Jonas Lukasczyk, Julien Tierny +3
This paper presents a well-scaling parallel algorithm for the computation of Morse-Smale (MS) segmentations, including the region separators and region boundaries. The segmentation…
Topological data analysis of vortices in the magnetically-induced current density in LiH molecule
Małgorzata Olejniczak, Julien Tierny
A novel strategy for extracting axial (AV) and toroidal (TV) vortices in the magnetically-induced current density (MICD) in molecular systems is introduced, and its pilot applicati…
Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows -- An Experimental Study
Florent Nauleau, Fabien Vivodtzev, Thibault Bridel-Bertomeu +2
This application paper presents a comprehensive experimental evaluation of the suitability of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows. Sp…
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Mathieu Pont, Jules Vidal, Julien Tierny
This paper presents a computational framework for the Principal Geodesic Analysis of merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis (PCA) f…
Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data -- An Algorithm and A Benchmark
Pierre Guillou, Jules Vidal, Julien Tierny
This paper introduces an efficient algorithm for persistence diagram computation, given an input piecewise linear scalar field defined on a -dimensional simplicial complex $…
Utilising urgent computing to tackle the spread of mosquito-borne diseases
Nick Brown, Rupert Nash, Piero Poletti +12
It is estimated that around 80\% of the world's population live in areas susceptible to at-least one major vector borne disease, and approximately 20% of global communicable diseas…
Fast Approximation of Persistence Diagrams with Guarantees
Jules Vidal, Julien Tierny
This paper presents an algorithm for the efficient approximation of the saddle-extremum persistence diagram of a scalar field. Vidal et al. introduced recently a fast algorithm for…
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Mathieu Pont, Jules Vidal, Julie Delon +1
This paper presents a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance [106] an…
TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data
Harish Doraiswamy, Julien Tierny, Paulo J. S. Silva +2
Multidimensional Projection is a fundamental tool for high-dimensional data analytics and visualization. With very few exceptions, projection techniques are designed to map data fr…
Localized Topological Simplification of Scalar Data
Jonas Lukasczyk, Christoph Garth, Ross Maciejewski +1
This paper describes a localized algorithm for the topological simplification of scalar data, an essential pre-processing step of topological data analysis (TDA). Given a scalar fi…
A Progressive Approach to Scalar Field Topology
Jules Vidal, Pierre Guillou, Julien Tierny
This paper introduces progressive algorithms for the topological analysis of scalar data. Our approach is based on a hierarchical representation of the input data and the fast iden…
Statistical Parameter Selection for Clustering Persistence Diagrams
Max Kontak, Jules Vidal, Julien Tierny
In urgent decision making applications, ensemble simulations are an important way to determine different outcome scenarios based on currently available data. In this paper, we will…
Ranking Viscous Finger Simulations to an Acquired Ground Truth with Topology-aware Matchings
Maxime Soler, Martin Petitfrere, Gilles Darche +3
This application paper presents a novel framework based on topological data analysis for the automatic evaluation and ranking of viscous finger simulation runs in an ensemble with…
A Topological Data Analysis Perspective on Non-Covalent Interactions in Relativistic Calculations
Małgorzata Olejniczak, André Severo Pereira Gomes, Julien Tierny
Topological Data Analysis (TDA) is a powerful mathematical theory, largely unexplored in theoretical chemistry. In this work we demonstrate how TDA provides new insights into topol…
Progressive Wasserstein Barycenters of Persistence Diagrams
Jules Vidal, Joseph Budin, Julien Tierny
This paper presents an efficient algorithm for the progressive approximation of Wasserstein barycenters of persistence diagrams, with applications to the visual analysis of ensembl…
Task-based Augmented Contour Trees with Fibonacci Heaps
Charles Gueunet, P. Fortin, J Jomier +1
This paper presents a new algorithm for the fast, shared memory, multi-core computation of augmented contour trees on triangulations. In contrast to most existing parallel algorith…