3 citations · 3 across the 4 of their papers we have counts for
5 papers
Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Amritendu Dhar, Apratim Chakraborty, Vijay Natarajan
Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper prese…
A Scalable System for Visual Analysis of Ocean Data
Toshit Jain, Upkar Singh, Varun Singh +5
Oceanographers rely on visual analysis to interpret model simulations, identify events and phenomena, and track dynamic ocean processes. The ever increasing resolution and complexi…
Time-varying Extremum Graphs
Somenath Das, Raghavendra Sridharamurthy, Vijay Natarajan
We introduce time-varying extremum graph (TVEG), a topological structure to support visualization and analysis of a time-varying scalar field. The extremum graph is a substructure…
Geometric Localization of Homology Cycles
Amritendu Dhar, Vijay Natarajan, Abhishek Rathod
Computing an optimal cycle in a given homology class, also referred to as the homology localization problem, is known to be an NP-hard problem in general. Furthermore, there is cur…
Fast Algorithms for Minimum Homology Basis
Amritendu Dhar, Vijay Natarajan, Abhishek Rathod
We study the problem of finding a minimum homology basis, that is, a lightest set of cycles that generates the -dimensional homology classes with coefficients in…