DeepAI AI Chat
Log In Sign Up

Gravitationally Lensed Black Hole Emission Tomography

04/07/2022
by   Aviad Levis, et al.
2

Measurements from the Event Horizon Telescope enabled the visualization of light emission around a black hole for the first time. So far, these measurements have been used to recover a 2D image under the assumption that the emission field is static over the period of acquisition. In this work, we propose BH-NeRF, a novel tomography approach that leverages gravitational lensing to recover the continuous 3D emission field near a black hole. Compared to other 3D reconstruction or tomography settings, this task poses two significant challenges: first, rays near black holes follow curved paths dictated by general relativity, and second, we only observe measurements from a single viewpoint. Our method captures the unknown emission field using a continuous volumetric function parameterized by a coordinate-based neural network, and uses knowledge of Keplerian orbital dynamics to establish correspondence between 3D points over time. Together, these enable BH-NeRF to recover accurate 3D emission fields, even in challenging situations with sparse measurements and uncertain orbital dynamics. This work takes the first steps in showing how future measurements from the Event Horizon Telescope could be used to recover evolving 3D emission around the supermassive black hole in our Galactic center.

READ FULL TEXT

page 1

page 5

page 6

page 7

page 8

11/03/2017

Reconstructing Video from Interferometric Measurements of Time-Varying Sources

Very long baseline interferometry (VLBI) makes it possible to recover im...
06/26/2020

Recovery of Binary Sparse Signals from Structured Biased Measurements

In this paper we study the reconstruction of binary sparse signals from ...
07/09/2020

A Dynamical Approach to Efficient Eigenvalue Estimation in General Multiagent Networks

We propose a method to efficiently estimate the eigenvalues of any arbit...
04/15/2021

Learn an index operator by CNN for solving diffusive optical tomography: a deep direct sampling method

In this work, we investigate the diffusive optical tomography (DOT) prob...
06/10/2022

Tight Bounds for State Tomography with Incoherent Measurements

We consider the classic question of state tomography: given copies of an...
05/25/2022

Black holes and cryptocurrencies

It has been proposed in the literature that the volume of Einstein-Rosen...