Sinogram (other)
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Sinogram (other)
Sinogram may refer to: * Sinograph, a Chinese character (''Hanzi''), especially when used in a different language * Radon transform, a type of integral transform in mathematics ** A visual representation of the raw data obtained in the operation of computed tomography X-ray computed tomography operates by using an X-ray generator that rotates around the object; X-ray detectors are positioned on the opposite side of the circle from the X-ray source. A visual representation of the raw data obtained is called ... See also * Sonogram (other) {{disambiguation ...
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Sinograph
Chinese characters () are logograms developed for the writing of Chinese. In addition, they have been adapted to write other East Asian languages, and remain a key component of the Japanese writing system where they are known as ''kanji''. Chinese characters in South Korea, which are known as ''hanja'', retain significant use in Korean academia to study its documents, history, literature and records. Vietnam once used the ''chữ Hán'' and developed chữ Nôm to write Vietnamese before turning to a romanized alphabet. Chinese characters are the oldest continuously used system of writing in the world. By virtue of their widespread current use throughout East Asia and Southeast Asia, as well as their profound historic use throughout the Sinosphere, Chinese characters are among the most widely adopted writing systems in the world by number of users. The total number of Chinese characters ever to appear in a dictionary is in the tens of thousands, though most are graphic v ...
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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 line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes (integrating over lines is known as the X-ray transform). It was later generalized to higher-dimensional Euclidean spaces, and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose transform. The Radon transform is widely applicable to tomography, the creation of an image from the projection data associated with cross-sectional scans of an object. Explanation If a function f represents an unknown density, then t ...
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Operation Of Computed Tomography
X-ray computed tomography operates by using an X-ray generator that rotates around the object; X-ray detectors are positioned on the opposite side of the circle from the X-ray source. A visual representation of the raw data obtained is called a ''sinogram'', yet it is not sufficient for interpretation. Once the scan data has been acquired, the data must be processed using a form of tomographic reconstruction, which produces a series of cross-sectional images. In terms of mathematics, the raw data acquired by the scanner consists of multiple "projections" of the object being scanned. These projections are effectively the Radon transformation of the structure of the object. Reconstruction essentially involves solving the inverse Radon transformation. Structure In conventional CT machines, an X-ray tube and detector are physically rotated behind a circular shroud (see the image above right). An alternative, short lived design, known as electron beam tomography (EBT), used electrom ...
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