Scalar field comparison with topological descriptors: Properties and applications for scientific visualization
In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
A topological similarity measure between multi-resolution reeb spaces
Y Ramamurthi, T Agarwal… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Searching similarity between a pair of shapes or data is an important problem in data
analysis and visualization. The problem of computing similarity measures using scalar …
analysis and visualization. The problem of computing similarity measures using scalar …
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 …
Front and skeleton features based methods for tracking salinity propagation in the ocean
U Singh, TM Dhipu, PN Vinayachandran… - Computers & …, 2022 - Elsevier
Abstract The Bay of Bengal (BoB) fosters several monsoon depressions and cyclones,
playing a crucial role in the Asian summer and winter monsoons. The capacity of the bay to …
playing a crucial role in the Asian summer and winter monsoons. The capacity of the bay to …
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 …
A Topological Similarity Measure between Multi-Field Data using Multi-Resolution Reeb Spaces
T Agarwal, Y Ramamurthi, A Chattopadhyay - arXiv preprint arXiv …, 2020 - arxiv.org
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 scalar …
data analysis and visualization. The problem of computing similarity measures using scalar …