3 papers
eess.SP2023
Data-driven Identification of Parametric Governing Equations of Dynamical Systems Using the Signed Cumulative Distribution Transform
Abu Hasnat Mohammad Rubaiyat, Duy H. Thai, Jonathan M. Nichols +6
This paper presents a novel data-driven approach to identify partial differential equation (PDE) parameters of a dynamical system. Specifically, we adopt a mathematical "transport"…
cs.CV2020
Radon cumulative distribution transform subspace modeling for image classification
Mohammad Shifat-E-Rabbi, Xuwang Yin, Abu Hasnat Mohammad Rubaiyat +5
We present a new supervised image classification method applicable to a broad class of image deformation models. The method makes use of the previously described Radon Cumulative D…
physics.optics2017
An optimal transport model for imaging in atmospheric turbulence
Jonathan M. Nichols, Abbie T. Watnik, Timothy Doster +4
We describe a new model for image propagation through open air in the presence of changes in the index of refraction (e.g. due to turbulence) using the theory of optimal transport.…