177 citations · 339 across the 25 of their papers we have counts for
26 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…
Electronic structure and oxidation states in high-pressure synthesized isostructural CeCN and TbCN
Amanda Ehn, Florian Trybel, Talha Bin Masood +2
Understanding the behavior of 4 electrons in materials containing rare earth elements is one of the fundamental questions within condensed matter physics. In this work the elect…
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…
Singular Arrange and Traverse Algorithm for Computing Reeb Spaces of Bivariate PL Maps
Petar Hristov, Ingrid Hotz, Talha Bin Masood
We present an exact and efficient algorithm for computing the Reeb space of a bivariate PL map. The Reeb space is a topological structure that generalizes the Reeb graph to the set…
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…
Efficient Heuristic Algorithms for Interleaving Distance between Merge Trees
Elena Farahbakhsh Touli, Talha Bin Masood
Merge trees are fundamental structures in topological data analysis. Interleaving distance is a widely accepted metric for comparing merge trees, with applications in visualization…
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…
Multi-field Visualization: Trait design and trait-induced merge trees
Danhua Lei, Jochen Jankowai, Petar Hristov +4
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…
Multi-scale Cycle Tracking in Dynamic Planar Graphs
Farhan Rasheed, Abrar Naseer, Emma Nilsson +2
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 in…
Multi-field Visualisation via Trait-induced Merge Trees
Jochen Jankowai, Talha Bin Masood, Ingrid Hotz
In this work, we propose trait-based merge trees a generalization of merge trees to feature level sets, targeting the analysis of tensor field or general multi-variate data. For th…
Probabilistic Gradient-Based Extrema Tracking
Emma Nilsson, Jonas Lukasczyk, Talha Bin Masood +2
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 defin…
Continuous Scatterplot Operators for Bivariate Analysis and Study of Electronic Transitions
Mohit Sharma, Talha Bin Masood, Signe S. Thygesen +3
Electronic transitions in molecules due to the absorption or emission of light is a complex quantum mechanical process. Their study plays an important role in the design of novel m…
Designing Feature Vector Representations: A case study from Chemistry
Signe Sidwall Thygesen, Daniel Witschard, Andreas Kerren +2
We present a case study investigating feature descriptors in the context of the analysis of chemical multivariate ensemble data. The data of each ensemble member consists of three…
Keeping it sparse: Computing Persistent Homology revisited
Ulrich Bauer, Talha Bin Masood, Barbara Giunti +3
In this work, we study several variants of matrix reduction via Gaussian elimination that try to keep the reduced matrix sparse. The motivation comes from the growing field of topo…
Edit Distance between Merge Trees
Raghavendra Sridharamurthy, Talha Bin Masood, Adhitya Kamakshidasan +1
Topological structures such as the merge tree provide an abstract and succinct representation of scalar fields. They facilitate effective visualization and interactive exploration…
Aromatic Hexazine [N6]4- Anion Revealed in the Complex Structure of the High-Pressure Potassium Nitride K9N56
Dominique Laniel, Florian Trybel, Yuqing Yin +13
Recent high-pressure synthesis of pentazolates and subsequent stabilization of the aromatic [N5]- anion at atmospheric pressure had an immense impact on nitrogen chemistry. Here, w…
Segmentation Driven Peeling for Visual Analysis of Electronic Transitions
Mohit Sharma, Talha Bin Masood, Signe S. Thygesen +3
Electronic transitions in molecules due to absorption or emission of light is a complex quantum mechanical process. Their study plays an important role in the design of novel mater…
Geometry-Aware Merge Tree Comparisons for Time-Varying Data with Interleaving Distances
Lin Yan, Talha Bin Masood, Farhan Rasheed +2
Merge trees, a type of topological descriptor, serve to identify and summarize the topological characteristics associated with scalar fields. They present a great potential for the…
Visual Analysis of Electronic Densities and Transitions in Molecules
Talha Bin Masood, Signe Sidwall Thygesen, Mathieu Linares +3
The study of electronic transitions within a molecule connected to the absorption or emission of light is a common task in the process of the design of new materials. The transitio…
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
Lin Yan, Talha Bin Masood, Raghavendra Sridharamurthy +4
In topological data analysis and visualization, topological descriptors such as persistence diagrams, merge trees, contour trees, Reeb graphs, and Morse-Smale complexes play an ess…
Topology-Based Feature Design and Tracking for Multi-Center Cyclones
Wito Engelke, Talha Bin Masood, Jakob Beran +2
In this paper, we propose a concept to design, track, and compare application-specific feature definitions expressed as sets of critical points. Our work has been inspired by the o…
High-pressure synthesis of Dirac materials: layered van der Waals bonded BeN polymorph
Maxim Bykov, Timofey Fedotenko, Stella Chariton +17
High pressure chemistry is known to inspire the creation of unexpected new classes of compounds with exceptional properties. Here we report the synthesis at ~90 GPa of novel beryll…