Merge Tree Geodesics and Barycenters with Path Mappings

F Wetzels, M Pont, J Tierny… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
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 analysis of scalar …

Multi-field Visualization: Trait design and trait-induced merge trees

D Lei, J Jankowai, P Hristov, H Carr… - … on Visualization and …, 2025 - ieeexplore.ieee.org
Feature level sets (FLS) have shown significant potential in the analysis of multi-field data by
using traits defined in attribute space to specify features in the domain. In this work, we …

Distributed Path Compression for Piecewise Linear Morse-Smale Segmentations and Connected Components

M Will, J Lukasczyk, J Tierny… - 2024 IEEE 14th …, 2024 - ieeexplore.ieee.org
This paper describes the adaptation to a distributed computational setting of a well-scaling
parallel algorithm for computing Morse-Smale segmentations based on path compression …

Probabilistic Gradient-Based Extrema Tracking

E Nilsson, J Lukasczyk, TB Masood… - … Data Analysis and …, 2023 - ieeexplore.ieee.org
Feature tracking is a common task in visualization applications, where methods based on
topological data analysis (TDA) have successfully been applied in the past for feature …

Subject-specific brain activity analysis in fmri data using merge trees

F Rasheed, D Jönsson, E Nilsson… - … Data Analysis and …, 2022 - ieeexplore.ieee.org
We present a method for detecting patterns in time-varying functional magnetic resonance
imaging (fMRI) data based on topological analysis. The oxygenated blood flow measured by …

Multi-scale Cycle Tracking in Dynamic Planar Graphs

F Rasheed, A Naseer, E Nilsson… - … Data Analysis and …, 2024 - ieeexplore.ieee.org
This paper presents a nested tracking framework for analyzing cycles in 2D force networks
within granular materials. These materials are composed of interacting particles, whose …