81 citations · 283 across the 13 of their papers we have counts for
13 papers
Topological analysis reveals multiple pathways in molecular dynamics
Luca Donati, Surahit Chewle, Dominik St. Pierre +2
Molecular Dynamics simulations are essential tools for understanding the dynamic behavior of biomolecules, yet extracting meaningful molecular pathways from these simulations remai…
TACHYON: Efficient Shared Memory Parallel Computation of Extremum Graphs
Abhijath Ande, Varshini Subhash, Vijay Natarajan
The extremum graph is a succinct representation of the Morse decomposition of a scalar field. It has increasingly become a useful data structure that supports topological feature d…
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…
Jacobi Set Driven Search for Flexible Fiber Surface Extraction
Mohit Sharma, Vijay Natarajan
Isosurfaces are an important tool for analysis and visualization of univariate scalar fields. Earlier works have demonstrated the presence of interesting isosurfaces at isovalues c…
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…
Comparative Analysis of Merge Trees using Local Tree Edit Distance
Raghavendra Sridharamurthy, Vijay Natarajan
Comparative analysis of scalar fields is an important problem with various applications including feature-directed visualization and feature tracking in time-varying data. Comparin…
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…
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…
A GPU Parallel Algorithm for Computing Morse-Smale Complexes
Varshini Subhash, Karran Pandey, Vijay Natarajan
The Morse-Smale complex is a well studied topological structure that represents the gradient flow behavior between critical points of a scalar function. It supports multi-scale top…
Topological Feature Search in Time-Varying Multifield Data
Tripti Agarwal, Amit Chattopadhyay, Vijay Natarajan
A wide range of data that appear in scientific experiments and simulations are multivariate or multifield in nature, consisting of multiple scalar fields. Topological feature searc…
Approximation Algorithms for Max-Morse Matching
Abhishek Rathod, Talha Bin Masood, Vijay Natarajan
In this paper, we prove that the Max-Morse Matching Problem is approximable, thus resolving an open problem posed by Joswig and Pfetsch. We describe two different approximation alg…
Felix: A Topology based Framework for Visual Exploration of Cosmic Filaments
Nithin Shivshankar, Pratyush Pranav, Vijay Natarajan +3
The large-scale structure of the universe is comprised of virialized blob-like clusters, linear filaments, sheet-like walls and huge near empty three-dimensional voids. Characteriz…