102 citations · 810 across the 20 of their papers we have counts for
20 papers
Deep Neural Networks for Surface Segmentation Meet Conditional Random Fields
Leixin Zhou, Zisha Zhong, Abhay Shah +3
Automated surface segmentation is important and challenging in many medical image analysis applications. Recent deep learning based methods have been developed for various object s…
Optimal Multi-Object Segmentation with Novel Gradient Vector Flow Based Shape Priors
Junjie Bai, Abhay Shah, Xiaodong Wu
Shape priors have been widely utilized in medical image segmentation to improve segmentation accuracy and robustness. A major way to encode such a prior shape model is to use a mes…
Simultaneous Multiple Surface Segmentation Using Deep Learning
Abhay Shah, Michael Abramoff, Xiaodong Wu
The task of automatically segmenting 3-D surfaces representing boundaries of objects is important for quantitative analysis of volumetric images, and plays a vital role in biomedic…
Gauge-invariant perturbations of Schwarzschild spacetime
Abhay G. Shah, Bernard F. Whiting, Steffen Aksteiner +2
We study perturbations of Schwarzschild spacetime in a coordinate-free, covariant form. The GHP formulation, having the advantage of not only being covariant but also tetrad-rotati…
Gauge Invariant Perturbations of the Schwarzschild Spacetime
Jonathan E. Thompson, Hector Chen, Bernard F. Whiting
Beginning with the pioneering work of Regge and Wheeler (Phys. Rev. 108, 1957), there have been many studies of perturbations away from the Schwarzschild spacetime background. In p…
Optimal Surface Segmentation with Convex Priors in Irregularly Sampled Space
Abhay Shah, Michael D. Abramoff, Xiaodong Wu
Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous…
iResum: a new paradigm for resumming gravitational wave amplitudes
Alessandro Nagar, Abhay G. Shah
We introduce a new, resummed, analytical form of the post-Newtonian (PN), factorized, multipolar amplitude corrections of the effective-one-body (EOB) gravitational wa…
Self-force as a cosmic censor in the Kerr overspinning problem
Marta Colleoni, Leor Barack, Abhay G. Shah +1
It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once back-r…
Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
Maarten van de Meent, Abhay G. Shah
We present the first numerical calculation of the (local) metric perturbation produced by a small compact object moving on an eccentric equatorial geodesic around a Kerr black hole…
Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
Abhay G. Shah, Adam Pound
Using black hole perturbation theory and arbitrary-precision computer algebra, we obtain the post-Newtonian (pN) expansions of the linear-in-mass-ratio corrections to the spin-prec…
Experimental mathematics meets gravitational self-force
Nathan K. Johnson-McDaniel, Abhay G. Shah, Bernard F. Whiting
It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied…
Raising and Lowering operators of spin-weighted spheroidal harmonics
Abhay G. Shah, Bernard F. Whiting
In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in- spin-weighted spheroidal harmonics where is an additio…
Self-force from reconstructed metric perturbations: numerical implementation in Schwarzschild spacetime
Cesar Merlin, Abhay G. Shah
We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metr…
Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
Soichiro Isoyama, Leor Barack, Sam R. Dolan +5
For a self-gravitating particle of mass μin orbit around a Kerr black hole of mass M >> μ, we compute the O(μ/M) shift in the frequency of the innermost stable circular equatorial…
Gravitational-wave flux for a particle orbiting a Kerr black hole to 20th post-Newtonian order: a numerical approach
Abhay G Shah
In this article we present the post-Newtonian (pN) coefficients of the energy flux (and angular momentum flux) at infinity and event horizon for a particle in circular, equatorial…
Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
Abhay G Shah, John L Friedman, Bernard F Whiting
We present a novel analytic extraction of high-order post-Newtonian (pN) parameters that govern quasi-circular binary systems. Coefficients in the pN expansion of the energy of a b…
Observables of a test-mass along an inclined orbit in a post-Newtonian approximated Kerr spacetime to leading-order-quadratic-in-spin
Steven Hergt, Abhay Shah, Gerhard Schäfer
The orbital motion is derived for a non-spinning test-mass in the relativistic, gravitational field of a rotationally deformed body not restricted to the equatorial plane or spheri…
EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole
Abhay G. Shah, John L. Friedman, Tobias S. Keidl
This is the first of two papers on computing the self-force in a radiation gauge for a particle moving in circular, equatorial orbit about a Kerr black hole. In the EMRI (extreme-m…
Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge
Abhay Shah, Tobias Keidl, John Friedman +2
This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric…
Gravitational Self-force in a Radiation Gauge
Tobias S. Keidl, Abhay G. Shah, John L. Friedman +2
In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schw…