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 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 $239,068 Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research on geometric harmonic analysis and advances in Radon-like transforms at the University of Pennsylvania. The funded work focuses on developing new mathematical techniques and theoretical understanding related to Radon-like geometric averages and their applications in areas such as CT, SPECT, NMR imaging, radar, and sonar. Key goals...
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...
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 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 $269,999 federal Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research to develop novel inverse scattering techniques for complex materials with applications in areas such as renewable energy, medical diagnosis, underground exploration, infrastructure integrity, and advanced manufacturing. The primary objectives are to investigate non-iterative approaches for...
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...
This National Science Foundation (NSF) Project Grant award to Rowan University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $212,933 from September 1, 2023 to August 31, 2025 to develop and implement new robust and computationally efficient inversion algorithms for inverse medium scattering problems. The project aims to advance inverse scattering theory, which plays a key role in technologies such as medical imaging, geophysical exploration, and unexploded...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $246,641 to The University of North Carolina at Charlotte to develop new theoretical techniques for the identification of unknown targets occluded inside a medium from external measurements alone. The techniques aim to quickly and reliably estimate occluded targets in an optimization-free manner without a priori knowledge...