Search Results - "Quinto, Eric Todd"

Electron lambda-tomography by Quinto, Eric Todd, Skoglund, Ulf, Öktem, Ozan

“…Filtered back-projection and weighted back-projection have long been the methods of choice within the electron microscopy community for reconstructing the…”
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Reply to Wang and Yu: Both electron lambda tomography and interior tomography have their uses by Quinto, Eric Todd, Ozan, Öktem, Skoglund, Ulf

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Artifacts and Visible Singularities in Limited Data X-Ray Tomography by Quinto, Eric Todd

“…We describe a principle to determine which features of an object will be easy to reconstruct from limited X-ray CT data and which will be difficult. The…”
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Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity by Webber, James W., Holman, Sean, Quinto, Eric Todd

“…We present novel microlocal and injectivity analyses of ellipsoid and hyperboloid Radon transforms. We introduce a new Radon transform, R, which defines the…”
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ARTIFACTS IN INCOMPLETE DATA TOMOGRAPHY WITH APPLICATIONS TO PHOTOACOUSTIC TOMOGRAPHY AND SONAR by FRIKEL, JÜRGEN, QUINTO, ERIC TODD

“…We develop a paradigm using microlocal analysis that allows one to characterize the visible and added singularities in a broad range of incomplete data…”
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Mean value extension theorems and microlocal analysis by Quinto, Eric Todd

“…We use microlocal analysis to prove new mean value theorems for harmonic functions on harmonic manifolds and for solutions to more general differential…”
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Stationary sets for the wave equation in crystallographic domains by Agranovsky, Mark L., Quinto, Eric Todd

“…Let W be a crystallographic group in \mathbb R^n generated by reflections and let \Omega be the fundamental domain of W. We characterize stationary sets for…”
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Range descriptions for the spherical mean Radon transform by Agranovsky, Mark, Kuchment, Peter, Quinto, Eric Todd

“…The transform considered in the paper averages a function supported in a ball in R n over all spheres centered at the boundary of the ball. This Radon type…”
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Local algorithms in exterior tomography by Quinto, Eric Todd

“…Exterior tomographic data are taken over lines outside a central region, and such data occur in the industrial nondestructive evaluation of large objects such…”
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A class of singular Fourier integral operators in Synthetic Aperture Radar imaging by Ambartsoumian, Gaik, Felea, Raluca, Krishnan, Venkateswaran P., Nolan, Clifford, Quinto, Eric Todd

“…In this article, we analyze the microlocal properties of the linearized forward scattering operator F and the normal operator F⁎F (where F⁎ is the L2 adjoint…”
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Local Tomography in Electron Microscopy by Quinto, Eric Todd, Öktem, Ozan

“…We present a new local tomographic algorithm applicable to electron microscope tomography. Our algorithm applies to the standard data acquisition method,…”
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Surface of revolution Radon transforms with centers on generalized surfaces in $\mathbb{R}^n by Webber, James W, Holman, Sean, Quinto, Eric Todd

“…We present a novel analysis of a Radon transform, $R$, which maps an $L^2$ function of compact support to its integrals over smooth surfaces of revolution with…”
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Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography by Webber, James W, Quinto, Eric Todd

“…We present a microlocal analysis of two novel Radon transforms of interest in Compton Scattering Tomography (CST), which map compactly supported $L^2$…”
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Support theorems for the spherical Radon transform on manifolds by Quinto, E. T.

“…Let M be a real-analytic manifold and let S ⊂ M be a real-analytic hypersurface. We prove local support theorems for the spherical Radon transform that…”
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Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity by Webber, James W, Holman, Sean, Quinto, Eric Todd

“…We present novel microlocal and injectivity analyses of ellipsoid and hyperboloid Radon transforms. We introduce a new Radon transform, $R$, which defines the…”
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Microlocal analysis of a Compton tomography problem by Webber, James, Quinto, Eric Todd

“…Here we present a novel microlocal analysis of a new toric section transform which describes a two dimensional image reconstruction problem in Compton…”
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Microlocal analysis of generalized Radon transforms from scattering tomography by Webber, James W, Quinto, Eric Todd

“…Here we present a novel microlocal analysis of generalized Radon transforms which describe the integrals of $L^2$ functions of compact support over surfaces of…”
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Inversion of the X-ray transform from limited angle parallel beam region of interest data with applications to electron tomography by Öktem, Ozan, Quinto, Eric Todd

“…We present a new local tomographic algorithm applicable to electron microscopy tomography. Our algorithm applies to the standard data acquisition method,…”
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Injectivity Sets for the Radon Transform over Circles and Complete Systems of Radial Functions by Agranovsky, Mark L., Quinto, Eric Todd

“…A necessary and sufficient characterization is given that specifies which sets of sums of translations of radial functions are dense in the set of continuous…”
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On a Regularization Scheme for Linear Operators in Distribution Spaces with an Application to the Spherical Radon Transform by Schuster, Thomas, Quinto, Eric Todd

“…This article provides a framework to regularize operator equations of the first kind where the underlying operator is linear and continuous between…”
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