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 $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 $1.2 million project grant from the National Science Foundation's Division of Computing and Communication Foundations, under the Computer and Information Science and Engineering program (CFDA 47.070), supports the development of novel model-based iterative reconstruction algorithms for high-resolution computed tomography imaging from low-dose X-ray data. The University of Florida will leverage techniques from approximation theory and performance optimization tools to address computational...
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 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research at Case Western Reserve University (CWRU) focused on two key areas: tomographic problems and isoperimetric problems in convex geometry. The $147,128 award, granted from June 2025 to May 2028, will enable the principal investigator to employ advanced mathematical techniques, including Fourier and Radon transforms, to address open problems...
The National Science Foundation awarded a $219,857 Project Grant to the University of Missouri System under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate the mathematical foundations of four imaging and optics methods. Specifically, the award will support research to develop a unified mathematical framework for X-ray crystallography, cryogenic electron microscopy, ptychography, and ultra-short pulse detection. The research aims to establish rigorous criteria for...
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 $350,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research on stochastic algorithms and mathematical models for complex systems with random perturbations. The project, led by North Carolina State University, will develop new geometric frameworks and methodologies to effectively incorporate randomness into algorithms for solving various types of equilibrium problems, such as those arising in data...