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Computed Tomography01:10

Computed Tomography

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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
The technique was invented in the 1970s and is based on the principle that as X-rays pass through the body, they are absorbed or reflected at different levels. In the technique, a patient lies on a motorized platform while a computerized axial tomography (CAT) scanner rotates...
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Imaging Studies III: Computed Tomography

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DefinitionComputed Tomography (CT) of the genitourinary (GU) tract is a non-invasive imaging modality that utilizes X-rays and computer processing to generate detailed cross-sectional images of the urinary system, encompassing the kidneys, ureters, bladder, and adjacent structures such as the adrenal glands.PurposeCT scans of the GU tract serve several diagnostic and therapeutic purposes, including:Diagnosis of Urinary Tract Diseases: Detects kidney stones, tumors, cysts, and congenital...
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Electron Microscope Tomography and Single-particle Reconstruction01:07

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Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
Electron Tomography
Electron tomography can be performed either in TEM or STEM (scanning transmission...
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Equipotential Surfaces and Conductors01:16

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For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic...
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X-ray Imaging01:24

X-ray Imaging

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German physicist Wilhelm Röntgen (1845–1923) was experimenting with electrical current when he discovered that a mysterious and invisible "ray" would pass through his flesh but leave an outline of his bones on a screen coated with a metal compound. In 1895, Röntgen made the first durable record of the internal parts of a living human: an "X-ray" image (as it came to be called) of his wife’s hand. Scientists worldwide quickly began their own experiments with...
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Magnetic Resonance Imaging01:24

Magnetic Resonance Imaging

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Magnetic resonance imaging (MRI) is a noninvasive medical imaging technique based on a phenomenon of nuclear physics discovered in the 1930s, in which matter exposed to magnetic fields and radio waves was found to emit radio signals. In 1970, a physician and researcher named Raymond Damadian noticed that malignant (cancerous) tissue gave off different signals than normal body tissue. He applied for a patent for the first MRI scanning device in clinical use by the early 1980s. The early MRI...
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Related Experiment Video

Updated: Aug 9, 2025

Imaging Replicative Domains in Ultrastructurally Preserved Chromatin by Electron Tomography
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Imaging Replicative Domains in Ultrastructurally Preserved Chromatin by Electron Tomography

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Tomographic imaging of perfectly conducting objects.

Gregory Samelsohn

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |February 23, 2023
    PubMed
    Summary
    This summary is machine-generated.

    A new algorithm precisely images conducting objects using tomographic imaging. This method accurately reconstructs obstacle shapes and classifies boundary conditions without approximations, advancing scattering analysis.

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    Area of Science:

    • Electromagnetics and Wave Scattering
    • Computational Imaging
    • Mathematical Physics

    Background:

    • Tomographic imaging is crucial for reconstructing object properties from scattered wave data.
    • Precisely characterizing perfectly conducting scatterers requires robust inversion algorithms.
    • Existing methods often rely on approximations, limiting accuracy for complex boundary conditions.

    Purpose of the Study:

    • To introduce a novel, approximation-free algorithm for tomographic imaging of perfectly conducting scatterers.
    • To develop a method capable of determining both the shape and boundary condition type (Dirichlet or Neumann) of scatterers.
    • To establish a connection between the new algorithm and established techniques like physical optics approximation.

    Main Methods:

    • Conversion of the boundary value problem into a volume integral equation with a singular double-layer potential.
    • Expression of the far-field pattern as an impact parameter model (Fourier transform of the profile function).
    • Application of microlocal analysis, specifically operator pseudo-locality, for support recovery.

    Main Results:

    • The algorithm accurately recovers the support of the scattering potential, thus determining the obstacle's shape.
    • The method successfully classifies the type of boundary condition (Dirichlet or Neumann) imposed on the scatterer.
    • The derived inversion algorithm is mathematically equivalent to the Radon inversion in computed tomography.

    Conclusions:

    • The proposed algorithm offers an exact and robust solution for tomographic imaging of perfectly conducting scatterers.
    • This approach advances the field by providing shape reconstruction and boundary condition classification without approximations.
    • The findings bridge advanced mathematical techniques with practical applications in scattering and imaging.