27 citations · 36 across the 9 of their papers we have counts for
9 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…
Euler Characteristic Transform Based Topological Loss for Reconstructing 3D Images from Single 2D Slices
Kalyan Varma Nadimpalli, Amit Chattopadhyay, Bastian Rieck
The computer vision task of reconstructing 3D images, i.e., shapes, from their single 2D image slices is extremely challenging, more so in the regime of limited data. Deep learning…
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…
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…
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation
A. Vasylchenkova, J. E. Prilepsky, D. Shepelsky +1
Starting from a comparison of some established numerical algorithms for the computation of the eigenvalues (discrete or solitonic spectrum) of the non-Hermitian version of the Zakh…
Multivariate Topology Simplification
Amit Chattopadhyay, Hamish Carr, David Duke +2
Topological simplification of scalar and vector fields is well-established as an effective method for analysing and visualising complex data sets. For multi-field data, topological…
Certified Computation of planar Morse-Smale Complexes
Amit Chattopadhyay, Gert Vegter, Chee K. Yap
The Morse-Smale complex is an important tool for global topological analysis in various problems of computational geometry and topology. Algorithms for Morse-Smale complexes have b…