8 papers
Exact Computation of Trait-induced Merge Trees for Bivariate Fields
Petar Hristov, Ingrid Hotz, Talha Bin Masood
Trait-induced merge trees (TIMTs) provide a robust topology-based method for selecting and browsing feature level sets in multivariate data by analyzing the distance field induced…
Temporal Tracking of Reeb-Space Sheets
Mohit Sharma, Petar Hristov, Talha Bin Masood +1
Time-varying bivariate fields arise in many scientific applications, where the relationship between two scalar quantities evolves over time. While topological methods such as merge…
Towards Computing Average Merge Tree Based on the Interleaving Distance
Elena Farahbakhsh Touli, Ingrid Hotz, Talha Bin Masood
The interleaving distance is a key tool for comparing merge trees, which provide topological summaries of scalar functions. In this work, we define an average merge tree for a pair…
Robust Geometric Predicates for Bivariate Computational Topology
Petar Hristov, Ingrid Hotz, Talha Bin Masood
We present theory and practice for robust implementations of bivariate Jacobi set and Reeb space algorithms. Robustness is a fundamental topic in computational geometry that deals…
Topology-Aware Volume Fusion for Spectral Computed Tomography via Histograms and Extremum Graph
Mohit Sharma, Emma Nilsson, Martin Falk +5
Photon-Counting Computed Tomography (PCCT) is a novel imaging modality that simultaneously acquires volumetric data at multiple X-ray energy levels, generating separate volumes tha…
Continuous Scatterplot and Image Moments for Time-Varying Bivariate Field Analysis of Electronic Structure Evolution
Mohit Sharma, Talha Bin Masood, Nanna Holmgaard List +2
Photoinduced electronic transitions are complex quantum-mechanical processes where electrons move between energy levels due to light absorption. This induces dynamics in electronic…