1 citations · 1 across the 5 of their papers we have counts for
5 papers
Spatio-Temporal Signatures of Intermittency in Helically Rotating Turbulence through Topological Data Analysis
Snigdhashree Mallick, Yashwanth Ramamurthi, Shiva Kumar Malapaka +1
A central challenge in hydrodynamic turbulence is identifying precisely when, and at which length scales, strong turbulent fluctuations (STFs) emerge and develop into intermittent…
An Algorithm for Fast and Correct Computation of Reeb Spaces for PL Bivariate Fields
Amit Chattopadhyay, Yashwanth Ramamurthi, Osamu Saeki
The Reeb space is a fundamental data structure in computational topology that represents the fiber topology of a multi-field (or multiple scalar fields), extending the level set to…
A Topological Distance Measure between Multi-Fields for Classification and Analysis of Shapes and Data
Yashwanth Ramamurthi, Amit Chattopadhyay
Distance measures play an important role in shape classification and data analysis problems. Topological distances based on Reeb graphs and persistence diagrams have been employed…
A Topological Distance between Multi-fields based on Multi-Dimensional Persistence Diagrams
Yashwanth Ramamurthi, Amit Chattopadhyay
The problem of computing topological distance between two scalar fields based on Reeb graphs or contour trees has been studied and applied successfully to various problems in topol…
A Topological Similarity Measure between Multi-Field Data using Multi-Resolution Reeb Spaces
Tripti Agarwal, Yashwanth Ramamurthi, Amit Chattopadhyay
Searching topological similarity between a pair of shapes or data is an important problem in data analysis and visualization. The problem of computing similarity measures using sca…