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08/07/2023
Merge Tree Geodesics and Barycenters with Path Mappings
Comparative visualization of scalar fields is often facilitated using si...
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07/05/2023
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
This paper presents a computational framework for the Wasserstein auto-e...
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04/28/2023
Wasserstein Dictionaries of Persistence Diagrams
This paper presents a computational framework for the concise encoding o...
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03/27/2023
Parallel Computation of Piecewise Linear Morse-Smale Segmentations
This paper presents a well-scaling parallel algorithm for the computatio...
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12/16/2022
Topological data analysis of vortices in the magnetically-induced current density in LiH molecule
A novel strategy for extracting axial (AV) and toroidal (TV) vortices in...
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07/28/2022
Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows – An Experimental Study
This application paper presents a comprehensive experimental evaluation ...
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07/22/2022
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
This paper presents a computational framework for the Principal Geodesic...
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06/27/2022
Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data – An Algorithm and A Benchmark
This paper introduces an efficient algorithm for persistence diagram com...
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11/10/2021
Utilising urgent computing to tackle the spread of mosquito-borne diseases
It is estimated that around 80% of the world's population live in areas ...
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08/12/2021
Fast Approximation of Persistence Diagrams with Guarantees
This paper presents an algorithm for the efficient approximation of the ...
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07/16/2021
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
This paper presents a unified computational framework for the estimation...
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09/03/2020
TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data
Multidimensional Projection is a fundamental tool for high-dimensional d...
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08/31/2020
Localized Topological Simplification of Scalar Data
This paper describes a localized algorithm for the topological simplific...
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07/29/2020
A Progressive Approach to Scalar Field Topology
This paper introduces progressive algorithms for the topological analysi...
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10/17/2019
Statistical Parameter Selection for Clustering Persistence Diagrams
In urgent decision making applications, ensemble simulations are an impo...
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08/20/2019
Ranking Viscous Finger Simulations to an Acquired Ground Truth with Topology-aware Matchings
This application paper presents a novel framework based on topological d...
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07/10/2019
Progressive Wasserstein Barycenters of Persistence Diagrams
This paper presents an efficient algorithm for the progressive approxima...
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08/17/2018
Lifted Wasserstein Matcher for Fast and Robust Topology Tracking
This paper presents a robust and efficient method for tracking topologic...
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07/30/2018
Persistence Atlas for Critical Point Variability in Ensembles
This paper presents a new approach for the visualization and analysis of...
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06/21/2018
Topological Data Analysis Made Easy with the Topology ToolKit
This tutorial presents topological methods for the analysis and visualiz...
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05/22/2018
The Topology ToolKit
This system paper presents the Topology ToolKit (TTK), a software platfo...
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02/08/2018
Topologically Controlled Lossy Compression
This paper presents a new algorithm for the lossy compression of scalar ...
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09/09/2011