Zobrazeno 1 - 10
of 234
pro vyhledávání: '"NATARAJAN, VIJAY"'
Publikováno v:
Computer Graphics Forum, 2024
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 of the Morse-Smale complex. It captures the adjacency relationship bet
Externí odkaz:
http://arxiv.org/abs/2406.17652
The Jacobi set of a bivariate scalar field is the set of points where the gradients of the two constituent scalar fields align with each other. It captures the regions of topological changes in the bivariate field. The Jacobi set is a bivariate analo
Externí odkaz:
http://arxiv.org/abs/2407.03348
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 currently no known optimality criterion that localizes classes geometrica
Externí odkaz:
http://arxiv.org/abs/2406.03183
Autor:
Jain, Toshit, Singh, Varun, Boda, Vijay Kumar, Singh, Upkar, Hotz, Ingrid, Vinayachandran, P. N., Natarajan, Vijay
Publikováno v:
envirvis2023
Visual analysis is well adopted within the field of oceanography for the analysis of model simulations, detection of different phenomena and events, and tracking of dynamic processes. With increasing data sizes and the availability of multivariate dy
Externí odkaz:
http://arxiv.org/abs/2309.14328
Publikováno v:
Computer Graphics Forum, 42: e14784, 2023
The extremum graph is a succinct representation of the Morse decomposition of a scalar field. It has increasingly become a useful data structure that supports topological feature directed visualization of 2D / 3D scalar fields, and enables dimensiona
Externí odkaz:
http://arxiv.org/abs/2303.02724
Autor:
Sharma, Mohit, Masood, Talha Bin, Thygesen, Signe S., Linares, Mathieu, Hotz, Ingrid, Natarajan, Vijay
Electronic transitions in molecules due to the absorption or emission of light is a complex quantum mechanical process. Their study plays an important role in the design of novel materials. A common yet challenging task in the study is to determine t
Externí odkaz:
http://arxiv.org/abs/2302.00379
Autor:
Sharma, Mohit, Natarajan, Vijay
Isosurfaces are an important tool for analysis and visualization of univariate scalar fields. Earlier works have demonstrated the presence of interesting isosurfaces at isovalues close to critical values. This motivated the development of efficient m
Externí odkaz:
http://arxiv.org/abs/2208.06723
Publikováno v:
IEEE Transactions on Visualization and Computer Graphics, 26 (3), 2020, 1518--1531
Topological structures such as the merge tree provide an abstract and succinct representation of scalar fields. They facilitate effective visualization and interactive exploration of feature-rich data. A merge tree captures the topology of sub-level
Externí odkaz:
http://arxiv.org/abs/2207.08511
Publikováno v:
IEEE Transactions on Visualization and Computer Graphics, 29 (2), 2023, 1518--1530
Comparative analysis of scalar fields is an important problem with various applications including feature-directed visualization and feature tracking in time-varying data. Comparing topological structures that are abstract and succinct representation
Externí odkaz:
http://arxiv.org/abs/2111.04382
Autor:
Sharma, Mohit, Masood, Talha Bin, Thygesen, Signe S., Linares, Mathieu, Hotz, Ingrid, Natarajan, Vijay
Electronic transitions in molecules due to absorption or emission of light is a complex quantum mechanical process. Their study plays an important role in the design of novel materials. A common yet challenging task in the study is to determine the n
Externí odkaz:
http://arxiv.org/abs/2109.08987