This federal Project Grant award, valued at $147,128.00, was provided by the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program. The award supports research at Case Western Reserve University focused on two primary areas: tomographic problems, which involve retrieving information about geometric objects from cross-sections or shadows, and isoperimetric problems, which examine the regularity of high-dimensional...
This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
This Project Grant award, totaling $349,880.00, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research to advance Bayesian hierarchical models for inverse problems, which are used to estimate unknown causes of observed consequences in a variety of important real-world applications such as medical imaging, language modeling, and infrastructure monitoring. The project will combine hierarchical...
This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $183,980 to support research on the theoretical and algorithmic foundations of novel medical imaging modalities at the University of Arizona. The research aims to advance the underlying mathematics and image reconstruction algorithms for emerging modalities like photoacoustic tomography, magnetoacoustoelectric tomography, and ultrasound current density imaging....
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on inverse boundary value problems and related mathematical techniques. The key research areas include: Electrical impedance tomography (EIT) for determining the conductivity of materials by making voltage and current measurements at the boundary. The research will address challenges in EIT such as partial data, anisotropic...
This National Science Foundation (NSF) Division of Mathematical Sciences grant award to Drexel University provides $270,000 over three years to develop new data-driven inversion methods and image reconstruction algorithms for nonlinear media with applications in radar, medical imaging, and optical design. The key innovations include using data to generate compact wave propagation models for efficient image reconstruction, expanding the applicability to large and noisy data sets, and developing...
This $162,510 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences will fund collaborative research at Tufts University to develop innovative, memory-efficient algorithms for high-dimensional imaging applications such as medical imaging, object inspection, and video surveillance. The key products will be accelerated reconstruction and compression techniques that can process large volumes of multi-dimensional imaging data in real-time while using...
The National Science Foundation (NSF) awarded a $1,125,000 Project Grant to Case Western Reserve University's Office of Research Administration Division (doing business as University Hospitals of Cleveland) under the NSF's Computer and Information Science and Engineering (CFDA 47.070) program. The grant, awarded on September 1, 2023 and scheduled for completion on August 31, 2027, supports the development of an artificial intelligence-generated virtual contrast magnetic resonance imaging (MRI)...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $303,127 under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Rochester from July 2022 through June 2025. The funding supports research using multilinear operators and microlocal analysis to improve non-invasive imaging modalities in electrical impedance tomography, synthetic aperture radar, and seismic imaging. Specifically, the investigator will work on four...
This $250,000 two-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences Directorate (CFDA 47.049) funds research at Rochester Institute of Technology to develop direct variational methods for solving inverse problems governed by differential equation models using full-field data. Specifically, the award supports advancing the Direct Error in Constitutive Equations formulation for determining wave speed from time-harmonic wave field observations of a...