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Tucson, AZ USA 85721
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Picture of Leonid Kunyansky

Leonid Kunyansky

Member of the Graduate Faculty | Professor, BIO5 Institute | Professor, Mathematics | Professor, Applied Mathematics - GIDP

Research Area

medical imaging, tomography, signal processing, biomedical imaging, collaborative research, mathematics, acoustic imaging, cavity imaging, inversion, spherical means

4D Transcranial Acoustoelectric Imaging for High Resolution Functional Mapping of Neuronal Currents
Active·2020·$33.7K / $3.4M·
External
Co-Investigator (COI)
neuroimaging, medical imaging, brain mapping, acoustic imaging, neuronal activity
Inverse Problems Arising in Novel Modalities of Biomedical Imaging
2017·$300.4K·
External
Principal Investigator (PI)
biomedical imaging, inverse problems, novel modalities, medical imaging, biomedical modality
High Resolution Electrical Brain Mapping by Real-Time and Portable 4D Acoustoelectric Imaging
2015·$34.4K / $1.2M·
External
Co-Investigator (COI)
neuroscience, medical imaging, acoustoelectric imaging, brain mapping, electrophysiology
Collaborative Research: Wavelet Frames for Variational Models in Imaging: Bridging Discrete and Continuum
2014·$68.3K / $170.8K·
External
Co-Investigator (COI)
wavelet frames, variational models, imaging, collaborative research, discrete and continuum
Collaborative Research: Mathematics of Emerging Imaging Methods in Medicine and Homeland Security
2012·$183K·
External
Principal Investigator (PI)
mathematics, imaging methods, medicine, homeland security, collaborative research

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Recent

Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography

2023

radon transforms, vector fields, tomography, magnetoacoustoelectric, weighted transforms

On the exactness of the universal backprojection formula for the spherical means Radon transform

2022

back-projection, radon transform, spherical means, exactness, universal formula

Current Source Density Imaging Using Regularized Inversion of Acoustoelectric Signals

2022

neuroscience, medical imaging, signal processing, imaging technology, inverse problems

Parametrix for the inverse source problem of thermoacoustic tomography with reduced data

2021

tomography, inverse problem, thermoacoustic imaging, parameter estimation, data reduction

Microlocally accurate solution of the inverse source problem of thermoacoustic tomography

2020

thermoacoustic tomography, inverse source problem, microlocal analysis, tomographic imaging, medical imaging

Compton camera imaging and the cone transform: A brief overview

2018

medical imaging, nuclear imaging, photon detection, image reconstruction, radiation detection

Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data

2018

photoacoustic imaging, data reconstruction, theoretical modeling, data compression, signal processing

Rotational magneto-acousto-electric tomography MAET) theory and experimental validation

2017

magneto-acoustic-electric, tomography, rotational, experimental validation, theory

Compton Camera Imaging And The Cone Transform. A Brief Overview

2017

medical imaging, particle physics, tomographic imaging, radiation detection, image reconstruction

A dissipative time reversal technique for photo-acoustic tomography in а cavity

2016

photoacoustic tomography, time reversal, dissipative techniques, cavity imaging, acoustic sensing

Russell Witte
Kurt Denninghoff
Scott Sherman
Stephen Cowen
Moysey Brio

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UA Researchers Develop Brain-Mapping Technology
2015

Algorithms of Applied Mathematics I
Vector Calculus
Numerical Analysis
Mathematical Principles of Numerical Analysis
Advanced Applied Analysis

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10+ Collaborators

$729.2K / $5.3M Funding

40+ Publications