SERB CRG Project

Prof Amit Chattopadhyay

Topological Data Analysis :

Tools for Multivariate. A wide range of data that appear in scientific experiments and simulations are multi-field or multivariate (involving multiple scalar fields simultaneously). For example, the time-varying spatial density data of proton and neutron in the nucleus of a Plutonium atom – where the goal is to detect the time stamp of nuclear scission; molecular biology data of Electrostatic and van der Waal forces – where the goal is to study the protein-protein interaction; combustion data – where the goal is to study the progress of combustion with the fuel in process and so on. Topological and geometrical analysis of such data aims to reveal interesting features useful to the domain scientists. The goal of this project is to develop robust tools for extracting and visualizing topological features based on Reeb space, Reeb skeleton, fiber surfaces, multi-dimensional persistent homology and other techniques from computational topology.