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25,463 results on '"Kumar, Amit"'

98. Shock propagation following an intense explosion in an inhomogeneous gas: core scaling and hydrodynamics

Author

Kumar, Amit and Rajesh, R.

Subjects
Condensed Matter - Statistical Mechanics
Abstract

We study the shock propagation in a spatially inhomogeneous gas following an intense explosion. We generalize the exact solution of the Euler equation for the spatio-temporal variation of density, velocity, and temperature to arbitrary dimensions. From the asymptotic behavior of the solution near the shock center, we argue that only for a critical dimension dependent initial density distribution will the Euler equation provide a correct description of the problem. For general initial density distributions, we use event-driven molecular dynamics simulations in one dimension to demonstrate that the Euler equation fails to capture the behavior near the shock center. However, the Navier-Stokes equation successfully resolves this issue. The crossover length scale below which the dissipation terms are relevant and the core scaling for the data near the shock center are derived and confirmed in EDMD simulations.

Published
2024

99. Multiplicative Lie algebra structure on nilpotent group of class $2$

Author

Pal, Deepak, Kumar, Amit, and Upadhyay, Sumit Kumar

Subjects
Mathematics - Group Theory
Abstract

This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class $2$. We also present a method for determining a multiplicative Lie algebra structure on a group that serves as an extension of one Lie ring by another Lie ring such as a metacyclic group and a nilpotent group of class $2$.

Published
2024

100. TalkinNeRF: Animatable Neural Fields for Full-Body Talking Humans

Author

Chatziagapi, Aggelina, Chaudhuri, Bindita, Kumar, Amit, Ranjan, Rakesh, Samaras, Dimitris, and Sarafianos, Nikolaos

Subjects
Computer Science - Computer Vision and Pattern Recognition
Abstract

We introduce a novel framework that learns a dynamic neural radiance field (NeRF) for full-body talking humans from monocular videos. Prior work represents only the body pose or the face. However, humans communicate with their full body, combining body pose, hand gestures, as well as facial expressions. In this work, we propose TalkinNeRF, a unified NeRF-based network that represents the holistic 4D human motion. Given a monocular video of a subject, we learn corresponding modules for the body, face, and hands, that are combined together to generate the final result. To capture complex finger articulation, we learn an additional deformation field for the hands. Our multi-identity representation enables simultaneous training for multiple subjects, as well as robust animation under completely unseen poses. It can also generalize to novel identities, given only a short video as input. We demonstrate state-of-the-art performance for animating full-body talking humans, with fine-grained hand articulation and facial expressions., Comment: Accepted by ECCVW 2024. Project page: https://aggelinacha.github.io/TalkinNeRF/

Published
2024

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