Tomography is
imaging by sections or sectioning that uses any kind of penetrating
wave. The method is used in
radiology
Radiology ( ) is the medical discipline that uses medical imaging to diagnose diseases and guide their treatment, within the bodies of humans and other animals. It began with radiography (which is why its name has a root referring to radiat ...
,
archaeology
Archaeology or archeology is the scientific study of human activity through the recovery and analysis of material culture. The archaeological record consists of artifacts, architecture, biofacts or ecofacts, sites, and cultural landsc ...
,
biology
Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field. For instance, all organisms are made up of cells that process hereditary ...
,
atmospheric science,
geophysics
Geophysics () is a subject of natural science concerned with the physical processes and physical properties of the Earth and its surrounding space environment, and the use of quantitative methods for their analysis. The term ''geophysics'' so ...
,
oceanography,
plasma physics,
materials science,
astrophysics,
quantum information
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both ...
, and other areas of
science
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Science may be as old as the human species, and some of the earliest archeological evidence ...
. The word ''tomography'' is derived from
Ancient Greek
Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic pe ...
τόμος ''tomos'', "slice, section" and γράφω ''graphō'', "to write" or, in this context as well, "to describe." A device used in tomography is called a tomograph, while the image produced is a tomogram.
In many cases, the production of these images is based on the mathematical procedure
tomographic reconstruction, such as
X-ray computed tomography technically being produced from multiple
projectional radiographs. Many different
reconstruction algorithms exist. Most algorithms fall into one of two categories:
filtered back projection (FBP) and
iterative reconstruction (IR). These procedures give inexact results: they represent a compromise between accuracy and computation time required. FBP demands fewer computational resources, while IR generally produces fewer artifacts (errors in the reconstruction) at a higher computing cost.
Although
MRI,
Optical coherence tomography and
ultrasound are transmission methods, they typically do not require movement of the transmitter to acquire data from different directions. In MRI, both projections and higher spatial harmonics are sampled by applying spatially-varying magnetic fields; no moving parts are necessary to generate an image. On the other hand, since ultrasound and optical coherence tomography uses time-of-flight to spatially encode the received signal, it is not strictly a tomographic method and does not require multiple image acquisitions.
Types of tomography
Some recent advances rely on using simultaneously integrated physical phenomena, e.g. X-rays for both
CT and
angiography, combined
CT/
MRI and combined
CT/
PET.
Discrete tomography and
Geometric tomography, on the other hand, are research areas that deal with the reconstruction of objects that are discrete (such as crystals) or homogeneous. They are concerned with reconstruction methods, and as such they are not restricted to any of the particular (experimental) tomography methods listed above.
Synchrotron X-ray tomographic microscopy
A new technique called synchrotron X-ray tomographic microscopy (SRXTM) allows for detailed three-dimensional scanning of fossils.
The construction of third-generation
synchrotron sources combined with the tremendous improvement of detector technology, data storage and processing
capabilities since the 1990s has led to a boost of high-end synchrotron tomography in materials research with a wide range of different applications, e.g.
the visualization and quantitative analysis of differently absorbing phases, microporosities, cracks, precipitates or grains in a specimen.
Synchrotron radiation is created by accelerating free particles in high vacuum. By the laws of electrodynamics this acceleration leads to the emission of electromagnetic radiation (Jackson, 1975). Linear particle acceleration is one possibility, but apart from the very high electric fields one would need it is more practical to hold the charged particles on a
closed trajectory in order to obtain a source of continuous radiation. Magnetic fields are used to force the particles onto the desired orbit and prevent them from flying in a straight line. The radial acceleration associated with the change of direction then generates radiation.
Volume rendering
Volume rendering is a set of techniques used to display a 2D projection of a 3D discretely
sampled data set, typically a 3D
scalar field. A typical 3D data set is a group of 2D slice images acquired, for example, by a
CT,
MRI, or
MicroCT scanner. These are usually acquired in a regular pattern (e.g., one slice every millimeter) and usually have a regular number of image
pixel
In digital imaging, a pixel (abbreviated px), pel, or picture element is the smallest addressable element in a raster image, or the smallest point in an all points addressable display device.
In most digital display devices, pixels are the ...
s in a regular pattern.
This is an example of a regular volumetric grid, with each volume element, or
voxel represented by a single value that is obtained by sampling the immediate area surrounding the voxel.
To render a 2D projection of the 3D data set, one first needs to define a
camera
A camera is an optical instrument that can capture an image. Most cameras can capture 2D images, with some more advanced models being able to capture 3D images. At a basic level, most cameras consist of sealed boxes (the camera body), with ...
in space relative to the volume. Also, one needs to define the
opacity and color of every voxel.
This is usually defined using an
RGBA (for red, green, blue, alpha)
transfer function that defines the RGBA value for every possible voxel value.
For example, a volume may be viewed by extracting
isosurfaces (surfaces of equal values) from the volume and rendering them as
polygonal meshes or by rendering the volume directly as a block of data. The
marching cubes algorithm is a common technique for extracting an isosurface from volume data. Direct volume rendering is a computationally intensive task that may be performed in several ways.
History
Focal plane tomography was developed in the 1930s by the radiologist
Alessandro Vallebona, and proved useful in reducing the problem of superimposition of structures in
projectional radiography. In a 1953 article in the medical journal
''Chest'', B. Pollak of the
Fort William Sanatorium described the use of planography, another term for tomography. Focal plane tomography remained the conventional form of tomography until being largely replaced by mainly
computed tomography in the late-1970s.
Focal plane tomography uses the fact that the focal plane appears sharper, while structures in other planes appear blurred. By moving an X-ray source and the film in opposite directions during the exposure, and modifying the direction and extent of the movement, operators can select different focal planes which contain the structures of interest.
See also
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Chemical imaging
*
3D reconstruction
*
Discrete tomography
*
Geometric tomography
*
Geophysical imaging
*
Industrial CT scanning
Industrial computed tomography (CT) scanning is any computer-aided tomographic process, usually X-ray computed tomography, that uses irradiation to produce three-dimensional internal and external representations of a scanned object. Industrial ...
*
Johann Radon
*
Medical imaging
*
MRI compared with CT
*
Network tomography
*
Nonogram, a type of puzzle based on a discrete model of tomography
*
Radon transform
In mathematics, the Radon transform is the integral transform which takes a function ''f'' defined on the plane to a function ''Rf'' defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the ...
*
Tomographic reconstruction
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Multiscale Tomography
*
Voxels
References
External links
*
Image reconstruction algorithms for microtomography
{{Medical imaging
Medical imaging