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Mapped continuation methods for computing all solutions to general systems of nonlinear equations
Abstract In many fields of engineering and science, use of mathematical models leads to systems of linear algebraic and nonlinear algebraic and transcendental equations. When all equations areExpand
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Inverse Scattering Theory
TLDR
This paper discuss a fully 3D nonlinear algorithm that results in a 3D quantitative estimate of breast tissue characteristics and a refraction corrected reflection algorithm (RFCR) that utilizes these estimates. Expand
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Inverse scattering and refraction corrected reflection for breast cancer imaging
TLDR
Transmission and reflection imaging algorithms are used to reconstruct images from data gathered during a tomographic breast scanning process called Warm Bath Ultrasound (WBU™). Expand
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Three-dimensional nonlinear inverse scattering: Quantitative transmission algorithms, refraction corrected reflection, scanner design and clinical results
TLDR
We show the feasibility of quantitative whole breast ultrasound imaging of the breast tissue speed and attenuation, and concomitant refraction corrected reflection imaging, using data collected from an early prototype. Expand
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Inverse scattering from arbitrary two-dimensional objects in stratified environments via a Green’s operator
An important problem in geophysics, medical imaging, and nondestructive imaging today is the construction of a practical, accurate, and efficient means of imaging geophysical anomalies, tumours, orExpand
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From laboratory to clinical trials: An odyssey of ultrasound inverse scattering imaging for breast cancer diagnosis
Techniscan has completed a local phase of clinical trials of a unique inverse scattering breast cancer scanner. The scanner is based on transmission of plane waves from 0.3 to 2 MHz through theExpand
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Inverse Scattering Results
TLDR
We discuss the results obtained using the inversion and refraction corrected reflection (RFCR) algorithms described in the companion paper in these proceedings. Expand
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Full inverse scattering vs. Born-like approximation for imaging in a stratified ocean
This Oceans 93 paper describes full nonlinear inversion that gives quantitative reconstructions of submerged and/or buried objects with the aid of a layered Greens function. The computational speedExpand
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Modeling Of Inverse Scattering And Other Tomographic Algorithms In Conjunction With Wide Bandwidth Acoustic Transducer Arrays For Towed Or Autonomous Sub-bottom Imaging Systems
This IEEE OCEANS '92 paper describes the powerful multi-source, multi-receivery multi-frequency, layered Green's function, inverse scattering method for imaging objects buried in sediments from dataExpand
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