A Topological Distance Between Multi-Fields Based on Multi-Dimensional Persistence Diagrams
Y Ramamurthi, A Chattopadhyay - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
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 …
graphs or contour trees has been studied and applied successfully to various problems in …
Comparing Mapper Graphs of Artificial Neuron Activations
The mapper graph is a popular tool from topological data analysis that provides a graphical
summary of point cloud data. It has been used to study data from cancer research, sports …
summary of point cloud data. It has been used to study data from cancer research, sports …
Topological Shape Matching using Multi-Dimensional Reeb Graphs
Y Ramamurthi, A Chattopadhyay - Proceedings of the Thirteenth Indian …, 2022 - dl.acm.org
Shape matching or retrieval is an important problem in computer graphics and data analysis.
Topological techniques based on Reeb graphs and persistence diagrams have been …
Topological techniques based on Reeb graphs and persistence diagrams have been …
An Algorithm for Correct Computation of Reeb Spaces for PL Bivariate Fields
A Chattopadhyay, Y Ramamurthi, O Saeki - arXiv preprint arXiv …, 2024 - arxiv.org
The Reeb space is a topological structure which is a generalization of the notion of the Reeb
graph to multi-fields. Its effectiveness has been established in revealing topological features …
graph to multi-fields. Its effectiveness has been established in revealing topological features …
What Operations can be Performed Directly on Compressed Arrays, and with What Error?
T Agarwal, H Dam, P Sadayappan… - Proceedings of the SC' …, 2023 - dl.acm.org
In response to the rapidly escalating data movement-related costs of computing with large
matrices and multidimensional arrays, several lossy compression methods have been …
matrices and multidimensional arrays, several lossy compression methods have been …
A Topological Distance Measure between Multi-Fields for Classification and Analysis of Shapes and Data
Y Ramamurthi, A Chattopadhyay - arXiv preprint arXiv:2303.02902, 2023 - arxiv.org
Distance measures play an important role in shape classification and data analysis
problems. Topological distances based on Reeb graphs and persistence diagrams have …
problems. Topological distances based on Reeb graphs and persistence diagrams have …