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orbit of the parallel beam irradiation optical system. In the figure above, X-Y plane rotates around the point of origin in the plane in such a way “to keep mutual positional relationship between the light source (2) and screen (7) passing through the trajectory (5).” Rotation angle of this case is defined as θ. In the figure set out above, absorption coefficient at a cross-sectional coordinate (x, y) of the subject is modeled as μ(x, y).
49: 432:: Considering a parallel beam irradiation optical system where the angle between the object and all transmission lights equals θ. Here, the numbers in the figure (see the numbers within the parentheses) respectively indicate: (1) = an object; (2) = the parallel beam light source; (3) = the screen; (4) = transmission beam; (5) = the datum circle; (6) = the origin; and (7) = a fluoroscopic image (a one-dimensional image; p 131: 426: 28: 2160:(CT) technology in which the source and detector travel along a helical path relative to the object. Typical implementations involve moving the patient couch through the bore of the scanner whilst the gantry rotates. Spiral CT can achieve improved image resolution for a given radiation dose, compared to individual slice acquisition. Most modern hospitals currently use spiral CT scanners. 418:
beam irradiation optical system. Parallel beam irradiation optical system may be the easiest and most practical example of a tomographic optical system therefore, in this article, explanation of "How to obtain the Tomographic image" will be based on "the parallel beam irradiation optical system". The resolution in tomography is typically described by the
226:. Radiocontrasts for X-ray CT are, in general, iodine-based. This is useful to highlight structures such as blood vessels that otherwise would be difficult to delineate from their surroundings. Using contrast material can also help to obtain functional information about tissues. Often, images are taken both with and without radiocontrast. 390:
artifacts, high noise and impaired image resolution. Iterative techniques provide images with improved resolution, reduced noise and fewer artifacts, as well as the ability to greatly reduce the radiation dose in certain circumstances. The disadvantage is a very high computational requirement, but advances in computer technology and
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In this article, the following discussion is developed based on anticlockwise motion. But, whether the direction of the rotation is anti-clockwise or a clockwise is not an essential problem. Even if the rotational direction is assumed to be in an opposite direction, no specific impact is caused on
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Fig. 3 is intended to illustrate the mathematical model and to illustrate the principle of tomography. In Fig.3, absorption coefficient at a cross-sectional coordinate (x, y) of the subject is modeled as μ(x, y). Consideration based on the above assumptions may clarify the following items. Therefore,
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In this section, the schematic configuration and motion of the parallel beam irradiation optical system configured to obtain the p(s,θ) of above-mentioned (eq. 5) will be explained. In this section, how to obtain the p(s,θ) of (eq.5) by utilizing parallel beam irradiation optical system will also be
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Initial machines would rotate the X-ray source and detectors around a stationary object. Following a complete rotation, the object would be moved along its axis, and the next rotation started. Newer machines permitted continuous rotation with the object to be imaged slowly and smoothly slid through
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In practical helical cone beam X-ray CT machines, the source and array of detectors are mounted on a rotating gantry while the patient is moved axially at a uniform rate. Earlier X-ray CT scanners imaged one slice at a time by rotating source and one-dimensional array of detectors while the patient
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techniques. These techniques are advantageous because they use an internal model of the scanner's physical properties and of the physical laws of X-ray interactions. Earlier methods, such as filtered back projection, assume a perfect scanner and highly simplified physics, which leads to a number of
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are also imagined in order to explain the positional relations and movements of features (0)–(7) in the figure. In addition, a virtual circle centered at the above-mentioned origin (6) is set on the datum plane (it will be called “the datum circle” henceforth). This datum circle (6) represents the
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Tomography is a technology that uses a tomographic optical system to obtain virtual 'slices' (a tomographic image) of specific cross section of a scanned object, allowing the user to see inside the object without cutting. There are several types of tomographic optical system including the parallel
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Consequently, a fluoroscopic image (7) is recorded on the screen as a one-dimensional image (one image is recorded for every θ corresponding to all s values). When the angle between the object and transmission beam is θ and if the intensity of transmission beam (4) having reached each "s" point on
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plane are the same plane. Henceforth, this virtual plane will be called “the datum plane”. In addition, a virtual circle centered at the abovementioned origin (6) is set on the datum plane (it will be called “the datum circle” henceforth). This datum circle (5) will be represents the orbit of the
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Numbers (1)–(7) shown in Fig. 3 (see the numbers within the parentheses) respectively indicate: (1) = an object; (2) = the parallel beam light source; (3) = the screen; (4) = transmission beam; (5) = the datum circle (a datum feature); (6) = the origin (a datum feature); and (7) = a fluoroscopic
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equipment; by rotating the fluoroscope around the patient, a geometry similar to CT can be obtained, and by treating the 2D X-ray detector in a manner similar to a CT detector with a massive number of rows, it is possible to reconstruct a 3D volume from a single rotation using suitable software.
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X-ray source (2) to the screen (3) matches the positive direction of the t-axis while the s-axis parallels these two features. Henceforth, the angle between the x- and the s-axes will be indicated as θ. That is, parallel beam irradiation optical system where the angle between the object and the
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The parallel beam irradiation optical system is the key component of a CT scanner. It consists of a parallel beam X-ray source (2) and the screen (3). They are positioned so that they face each other in parallel with the origin (6) in between, both being in contact with the datum circle (6).
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During the above-mentioned motion (that is pivoting around the object(1)) of parallel beam irradiation optical system, the collimated X-ray source (2) emits transmission beam (4) which are effectively “parallel rays” in a geometrical optical sense. The traveling direction of each ray of the
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plane rotates counter clockwise. around the point of origin in the plane in such a way “to keep mutual positional relationship between the light source (2) and screen (7) passing through the trajectory (5).” Rotation angle of this case is same as above-mentioned θ.
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Optical transmission can be presumed to occur ideally. That is, transmission beam penetrates without diffraction, diffusion, or reflection although it is absorbed by the object and its attenuation is assumed to occur in accordance with the Beer-Lambert law.
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A helical CT beam trajectory is characterized by its pitch, which is equal to the table feed distance along the scan range over one gantry rotation divided by the section collimation. When pitch is greater than 1, the radiation dose for a given axial
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machines. A subsequent development of helical CT was multi-slice (or multi-detector) CT; instead of a single row of detectors, multiple rows of detectors are used effectively capturing multiple cross-sections simultaneously.
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remained static. The helical scan method reduces the X-ray dose to the patient required for a given resolution while scanning more quickly. This is, however, at the cost of greater mathematical complexity in the
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transmission beam (4) is parallel to the t-axis. The transmission beam (4), emitted by the X-ray source (2), penetrates the object and reaches the screen (3) after attenuation due to absorption by the object.
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In order to illuminate multiple rows of detector elements in a multi-slice scanner, the x-ray source must emit a beam which is divergent along the axial direction (i.e. a cone beam instead of a fan beam).
335:. Setting an increment that is smaller than the slice thickness results in overlap between the slices. A beneficial effect of this is a smoother transition between images when scrolling through the stack. 2185:
16 multi-slice scanner was introduced in 2001 and in 2004, 64 multislice scanners are on the market. These can produce an image in less than a second and thus can obtain images of the heart and its
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and suppose that the transmission beam penetrates without diffraction, diffusion, or reflection. Also assume the beam is absorbed by the object and its attenuation occurs in accordance with the
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coordination system. Hence, object (1) will not be moved while the parallel beam irradiation optical system are rotated around the object (1). The object (1) must be smaller than datum circle.
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parallel beam irradiation optical system. Naturally, the origin (6), the datum circle (5), and the datum coordinate systems are virtual features which are imagined for mathematical purposes.
2118:. In the above-mentioned descriptions, “What we measured” is p(s,θ) . On the other hand, “What we want to know ” is μ(x,y). So, the next will be "How to reconstruct μ(x,y) from p(s,θ)". 2090: 454:(1)Results of measurement, i.e. a series of images obtained by transmitted light are expressed (modeled) as a function p (s,θ) obtained by performing radon transform to μ(x, y), and 378:, but this approach was limited by its high computational complexity, especially given the computer technology available at the time. More recently, manufacturers have developed 1486: 974:{\displaystyle {\begin{aligned}I=I_{0}\exp \left({-\int \mu (x,y)\,dl}\right)=I_{0}\exp \left({-{\int }_{-\infty }^{\infty }\mu (l(t))\,|{\dot {l}}(t)|dt}\right)\end{aligned}}} 1731: 1689: 1366: 2023: 1820: 594: 414:
In this section, the basic principle of tomography in the case that especially uses tomography utilizing the parallel beam irradiation optical system will be explained.
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trajectory relative to the object while a two-dimensional array of detectors measures the transmitted radiation on part of a cone of rays emanating from the source.
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Since its invention by Kalender in the 1980s, helical scan CT machines have steadily increased the number of rows of detectors (slices) they deploy. The
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By using a parallel beam irradiation optical system, one can experimentally obtain the series of fluoroscopic images (these are one-dimensional images
66: 196:, due to the shape of the X-ray beam (strictly, the beam is pyramidal in shape, rather than conical). Cone-beam CT is commonly found in medical 2466: 1181:{\displaystyle {\begin{aligned}p_{l}=\ln(I/I_{0})=-\int \mu (x,y)\,dl=-{\int }_{-\infty }^{\infty }\mu (l(t))\,|{\dot {l}}(t)|dt\end{aligned}}} 2230:(FOV) is decreased compared to conventional CT. At high pitches there is, however, a trade-off in terms of noise and longitudinal resolution. 3251: 2935: 3065: 3077: 3405: 174:
and detector are physically rotated behind a circular shroud (see the image above right). An alternative, short lived design, known as
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transmission beam equals θ. This datum circle (6) will be represents the orbit of the parallel beam irradiation optical system.
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is credited with invention of the technique, and uses the term spiral CT. Kalender argues that the terms spiral and helical are
154:, yet it is not sufficient for interpretation. Once the scan data has been acquired, the data must be processed using a form of 600: 3048: 1960:{\displaystyle p_{\theta }(s)=-{\int }_{-\infty }^{\infty }\mu (s\cos \theta -t\sin \theta ,s\sin \theta +t\cos \theta )\,dt} 2453: 2889: 3601: 3441: 3320: 3060: 2969: 2638:
essential level except for some minor deformation of formula including reversing a part of positive or negative signs.
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coordinate systems are chosen such that they are reflections of each other without mirror-reflective transformation.)
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is one of the most established algorithmic techniques for this problem. It is conceptually simple, tunable and
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are imagined in order to explain the positional relations and movements of features (0)–(7) in the figure. The
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of the structure of the object. Reconstruction essentially involves solving the inverse Radon transformation.
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coordinate system while maintaining the relative positional relations between themselves and with the
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These two features ((2) and (3)) can rotate counterclockwise around the origin (6) together with the
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explained. Configuration and motions of parallel beam irradiation optical system, referring Fig. 3.
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the screen is expressed as p(s, θ), it expresses a fluoroscopic image (7) corresponding to each θ.
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coordinate systems share the origin (6) and they are positioned on the same plane. That is, the
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coordinate system (so, these two features ((2) and (3)) are always opposed each other). The
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The distance the table moves for every 360° rotation of the X-ray generator is called the
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of the object (3) at each (x,y), p(s,θ) (7) is the collection of fluoroscopic images.
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in this section, the explanation is advanced according to the order as follows:
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Here, the direction from the light source toward the screen is defined as the
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instead of photomultipliers and modern scintillation materials (for example
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On the other hand, the object (1) will be scanned by CT scanner is fixed to
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gas. These systems were in turn replaced by scintillation systems based on
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are positioned on the opposite side of the circle from the X-ray source.
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There are a class of image artifacts specific to helical acquisition.
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or rare-earth oxide ceramics) with more desirable characteristics.
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CT scanner with cover removed to show internal components. Legend:
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between the object and the transmitted light beam. In Fig.3, the
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of a specific cross section of a scanned object) for each angle
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is the intensity of the light beam before transmission, while
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A visual representation of the raw data obtained is called a
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Webb, W. Richard; Brant, Wiliam E.; Major, Nancy M. (2014).
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for axial scan modes. For helical scan modes, it is called
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of (eq. 3) as the same manner of (eq.2). This means that,
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crystals. Cesium iodide was replaced during the 1980s by
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direction and parallel with the screen is defined as the
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In cone-beam computed tomography (commonly abbreviated
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Nuclear Medicine and PET/CT: Technology and Techniques
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One can define following function of two variables (
2572:Barrett and Keat (2004) RadioGraphics 24:1679-1691 338: 2586:https://dx.doi.org/10.1148/radiology.189.3.8234684 2484:Kristen M. Waterstram-Rich; David Gilmore (2016). 2084: 2017: 1959: 1814: 1779: 1725: 1683: 1630: 1480: 1436: 1412: 1380: 1360: 1321: 1289: 1257: 1237: 1217: 1180: 973: 768: 748: 713: 684: 648: 628: 588: 553: 529: 494: 398:algorithms or use of specialized hardware such as 283:Motion of parallel beam irradiation optical system 2252:Helical (or spiral) cone beam computed tomography 2234:Helical (or spiral) cone beam computed tomography 303:plane is positioned so that the direction from a 3593: 2651:Principles of Computerized Tomographic Imaging 2467:American Association of Physicists in Medicine 2425: 2671: 355: 2596:Maldjian and Goldman (2013) AJR 200:741-747 2508:Barkan, O; Weill, J; Averbuch, A; Dekel, S. 2584:Heiken et al. (1993) Radiology 189:647-656 2085:{\displaystyle p(s,\theta )=p_{\theta }(s)} 394:techniques, such as use of highly parallel 244:image (a one-dimensional image; p (s, θ)). 2678: 2664: 776:is the beam intensity after transmission. 466:Consider the mathematical model where the 2611:at the U.S. National Library of Medicine 2432:. Elsevier Health Sciences. p. 152. 2402: 2368: 1950: 1136: 1082: 924: 844: 89:Learn how and when to remove this message 3514:Orthogonal polarization spectral imaging 2510:"Adaptive Compressed Tomography Sensing" 2488:(8 ed.). Elsevier Health Sciences. 2204: 1225:direction and that perpendicular to the 424: 318: 146:) as used for planning every scan slice. 129: 117: 26: 2574:https://dx.doi.org/10.1148/rg.246045065 2548:"Spiral or helical CT: right or wrong?" 2351:Jun, Kyungtaek; Yoon, Seokhwan (2017). 2350: 1822:of following (eq. 5) is a resultant of 14: 3594: 2598:https://dx.doi.org/10.2214/AJR.12.9768 2209:The field of view (FOV) multiplied by 2177:Single-slice and multi-slice Spiral CT 2659: 2258:(CT) in which the source (usually of 2633: 2631: 2526:"Technical foundations of spiral CT" 2031: 1828: 1496: 997: 778: 186:-axis coverage is comparable to the 71:adding citations to reliable sources 42: 2685: 436:(s)). Two datum coordinate systems 126:(left) and an image sample (right). 24: 3321:Sestamibi parathyroid scintigraphy 2502: 1879: 1874: 1481:{\displaystyle {l}_{\theta ,s}(t)} 1110: 1105: 898: 893: 409: 230:Schematic configuration and motion 218:used for X-ray CT, as well as for 25: 3613: 2644: 2628: 2323:the X-ray ring. These are called 1733:is equal to the line integral of 204: 3576: 3575: 339:Obtaining transmission image ‘s’ 190:-axis coverage are often termed 170:In conventional CT machines, an 111:that rotates around the object; 47: 3078:Cholangiopancreatography (MRCP) 2602: 2590: 2578: 2254:is a type of three-dimensional 2193:vessels) as if frozen in time. 502:is represented by the function 58:needs additional citations for 3326:Radioactive iodine uptake test 2566: 2537: 2515: 2473: 2446: 2419: 2344: 2284:History of computed tomography 2248:), the X-ray beam is conical. 2079: 2073: 2057: 2045: 2012: 2000: 1947: 1887: 1855: 1849: 1809: 1797: 1774: 1768: 1763: 1751: 1726:{\displaystyle p_{\theta }(s)} 1720: 1714: 1684:{\displaystyle p_{\theta }(s)} 1678: 1672: 1531: 1525: 1475: 1469: 1407: 1395: 1361:{\displaystyle p_{\theta }(s)} 1355: 1349: 1316: 1304: 1284: 1272: 1164: 1160: 1154: 1138: 1133: 1130: 1124: 1118: 1079: 1067: 1052: 1031: 952: 948: 942: 926: 921: 918: 912: 906: 841: 829: 708: 702: 583: 571: 524: 512: 489: 477: 13: 1: 3306:Radionuclide ventriculography 2780:Lower gastrointestinal series 2772:Upper gastrointestinal series 2337: 2240:Cone beam computed tomography 247:Two datum coordinate systems 238: 3497:Optical coherence tomography 3419:Myocardial perfusion imaging 3007:Dental panoramic radiography 2121: 2116:inverse radon transformation 2018:{\displaystyle p(s,\theta )} 1815:{\displaystyle p(s,\theta )} 589:{\displaystyle p(s,\theta )} 470:of the object at each point 165: 7: 2272:reconstruction of the image 2154:helical computed tomography 2099: 1986: 1974: 1693: 1645: 1490: 1488:, represented by equation ( 1444:is the collection of lines 1195: 988: 723: 658: 406:, now allow practical use. 10: 3618: 3301:Ventilation/perfusion scan 2776:Small-bowel follow-through 2288:The earliest sensors were 2281: 2277: 2237: 2150:Spiral computed tomography 2129:Spiral computed tomography 692:along the light beam path 392:high-performance computing 362:Tomographic reconstruction 359: 356:Tomographic reconstruction 208: 156:tomographic reconstruction 3602:X-ray computed tomography 3571: 3550: 3542:Dynamic angiothermography 3522: 3478: 3427: 3404: 3394: 3359: 3286: 3276: 3267: 3210:Abdominal ultrasonography 3118: 3034: 2994: 2913: 2872: 2863: 2716: 2707: 2693: 2304:containing high-pressure 2133: 2128: 1780:{\displaystyle {l}_{}(t)} 1424:The beam having an angle 530:{\displaystyle \mu (x,y)} 103:X-ray computed tomography 3532:Non-contact thermography 3311:Radionuclide angiography 3163:Doppler echocardiography 2622: 2613:Medical Subject Headings 2200: 2170:and equally acceptable. 1691:is defined by equation ( 387:expectation maximization 368:filtered back projection 176:electron beam tomography 3316:Radioisotope renography 2429:Fundamentals of Body CT 2296:excited by (typically) 2290:scintillation detectors 2274:from the measurements. 1437:{\displaystyle \theta } 1381:{\displaystyle \theta } 749:{\displaystyle {I}_{0}} 629:{\displaystyle {I}_{0}} 607:, the relation between 3351:Gastric emptying study 2529:Semin Ultrasound CT MR 2222: 2086: 2019: 1961: 1816: 1781: 1727: 1685: 1632: 1482: 1438: 1414: 1382: 1362: 1323: 1291: 1259: 1239: 1219: 1182: 975: 770: 750: 721:is given by equation ( 715: 686: 656:is given by equation ( 650: 630: 590: 555: 531: 496: 468:absorption coefficient 446: 277:absorption coefficient 147: 127: 40: 3012:X-ray motion analysis 2895:X-ray microtomography 2814:Hysterosalpingography 2721:Pneumoencephalography 2294:photomultiplier tubes 2282:Further information: 2238:Further information: 2208: 2087: 2025:is the collection of 2020: 1962: 1817: 1782: 1728: 1686: 1633: 1483: 1439: 1415: 1413:{\displaystyle (x,y)} 1383: 1363: 1324: 1322:{\displaystyle (x,y)} 1292: 1290:{\displaystyle (t,s)} 1265:direction. (Both the 1260: 1240: 1220: 1183: 976: 771: 751: 716: 687: 685:{\displaystyle p_{l}} 651: 631: 591: 556: 532: 497: 495:{\displaystyle (x,y)} 428: 382:physical model-based 360:Further information: 319:Increment/Table speed 133: 121: 30: 3537:Contact thermography 3247:Emergency ultrasound 3185:Transcranial Doppler 2936:Abdominal and pelvis 2609:Helical+Cone-Beam+CT 2213:creates a volume of 2039: 1994: 1990:). In this article, 1836: 1824:Radon transformation 1791: 1741: 1701: 1659: 1504: 1448: 1428: 1392: 1372: 1336: 1301: 1269: 1249: 1229: 1209: 1005: 786: 760: 731: 714:{\displaystyle l(t)} 696: 669: 640: 611: 565: 554:{\displaystyle \mu } 545: 506: 474: 160:Radon transformation 67:improve this article 3504:Confocal microscopy 3382:Indium-111 WBC scan 3205:Echoencephalography 2941:Virtual colonoscopy 2379:2017NatSR...741218J 2256:computed tomography 2158:computed tomography 2027:fluoroscopic images 1883: 1114: 902: 35:D: X-ray detectors 3492:Optical tomography 3341:Dacryoscintigraphy 3336:Immunoscintigraphy 2975:Whole body imaging 2726:Dental radiography 2556:2010-10-11 at the 2357:Scientific Reports 2223: 2082: 2015: 1957: 1864: 1812: 1777: 1723: 1681: 1628: 1622: 1575: 1478: 1434: 1410: 1378: 1358: 1319: 1287: 1255: 1235: 1215: 1178: 1176: 1095: 971: 969: 883: 766: 746: 711: 682: 646: 626: 586: 551: 527: 492: 447: 420:Crowther criterion 384:maximum likelihood 148: 128: 41: 39:R: Gantry rotation 3589: 3588: 3551:Target conditions 3474: 3473: 3470: 3469: 3390: 3389: 3331:Bone scintigraphy 3296:Scintimammography 3291:Cholescintigraphy 3136:contrast-enhanced 3030: 3029: 2990: 2989: 2980:Full-body CT scan 2880:General operation 2859: 2858: 2829:Angiocardiography 2387:10.1038/srep41218 2147: 2146: 2107: 2106: 1982: 1981: 1653: 1652: 1258:{\displaystyle s} 1238:{\displaystyle t} 1218:{\displaystyle t} 1203: 1202: 1151: 996: 995: 939: 769:{\displaystyle I} 649:{\displaystyle I} 366:The technique of 180:coronary arteries 99: 98: 91: 16:(Redirected from 3609: 3579: 3578: 3402: 3401: 3284: 3283: 3274: 3273: 3158:Echocardiography 3017:Hounsfield scale 2870: 2869: 2789:Cholecystography 2714: 2713: 2705: 2704: 2680: 2673: 2666: 2657: 2656: 2639: 2635: 2616: 2606: 2600: 2594: 2588: 2582: 2576: 2570: 2564: 2541: 2535: 2519: 2513: 2506: 2500: 2499: 2477: 2471: 2470: 2458: 2450: 2444: 2443: 2423: 2417: 2416: 2406: 2372: 2348: 2143: 2126: 2125: 2101: 2091: 2089: 2088: 2083: 2072: 2071: 2032: 2024: 2022: 2021: 2016: 1976: 1966: 1964: 1963: 1958: 1882: 1877: 1869: 1848: 1847: 1829: 1821: 1819: 1818: 1813: 1786: 1784: 1783: 1778: 1767: 1766: 1749: 1732: 1730: 1729: 1724: 1713: 1712: 1690: 1688: 1687: 1682: 1671: 1670: 1647: 1637: 1635: 1634: 1629: 1627: 1626: 1580: 1579: 1524: 1523: 1512: 1497: 1487: 1485: 1484: 1479: 1468: 1467: 1456: 1443: 1441: 1440: 1435: 1419: 1417: 1416: 1411: 1387: 1385: 1384: 1379: 1367: 1365: 1364: 1359: 1348: 1347: 1328: 1326: 1325: 1320: 1296: 1294: 1293: 1288: 1264: 1262: 1261: 1256: 1244: 1242: 1241: 1236: 1224: 1222: 1221: 1216: 1197: 1187: 1185: 1184: 1179: 1177: 1167: 1153: 1152: 1144: 1141: 1113: 1108: 1100: 1051: 1050: 1041: 1021: 1020: 998: 990: 980: 978: 977: 972: 970: 966: 962: 955: 941: 940: 932: 929: 901: 896: 888: 868: 867: 855: 851: 808: 807: 779: 775: 773: 772: 767: 755: 753: 752: 747: 745: 744: 739: 720: 718: 717: 712: 691: 689: 688: 683: 681: 680: 655: 653: 652: 647: 635: 633: 632: 627: 625: 624: 619: 605:Beer-Lambert law 603:conforms to the 595: 593: 592: 587: 560: 558: 557: 552: 539:Beer-Lambert law 536: 534: 533: 528: 501: 499: 498: 493: 220:plain film X-ray 216:Contrast mediums 134:Picture of a CT 94: 87: 83: 80: 74: 51: 43: 21: 3617: 3616: 3612: 3611: 3610: 3608: 3607: 3606: 3592: 3591: 3590: 3585: 3567: 3546: 3518: 3466: 3452:PET mammography 3423: 3386: 3372:Gallium-67 scan 3367:Octreotide scan 3355: 3263: 3114: 3026: 2986: 2909: 2890:High-resolution 2855: 2819:Skeletal survey 2785:Cholangiography 2698: 2689: 2687:Medical imaging 2684: 2647: 2642: 2636: 2629: 2625: 2620: 2619: 2607: 2603: 2595: 2591: 2583: 2579: 2571: 2567: 2558:Wayback Machine 2542: 2538: 2520: 2516: 2507: 2503: 2496: 2478: 2474: 2456: 2452: 2451: 2447: 2440: 2424: 2420: 2349: 2345: 2340: 2286: 2280: 2242: 2236: 2203: 2179: 2139: 2124: 2112: 2067: 2063: 2040: 2037: 2036: 1995: 1992: 1991: 1878: 1870: 1865: 1843: 1839: 1837: 1834: 1833: 1792: 1789: 1788: 1750: 1745: 1744: 1742: 1739: 1738: 1708: 1704: 1702: 1699: 1698: 1666: 1662: 1660: 1657: 1656: 1621: 1620: 1605: 1604: 1585: 1584: 1574: 1573: 1561: 1560: 1541: 1540: 1513: 1508: 1507: 1505: 1502: 1501: 1457: 1452: 1451: 1449: 1446: 1445: 1429: 1426: 1425: 1393: 1390: 1389: 1373: 1370: 1369: 1343: 1339: 1337: 1334: 1333: 1302: 1299: 1298: 1270: 1267: 1266: 1250: 1247: 1246: 1230: 1227: 1226: 1210: 1207: 1206: 1175: 1174: 1163: 1143: 1142: 1137: 1109: 1101: 1096: 1046: 1042: 1037: 1016: 1012: 1008: 1006: 1003: 1002: 968: 967: 951: 931: 930: 925: 897: 889: 884: 879: 875: 863: 859: 819: 815: 803: 799: 789: 787: 784: 783: 761: 758: 757: 740: 735: 734: 732: 729: 728: 697: 694: 693: 676: 672: 670: 667: 666: 641: 638: 637: 620: 615: 614: 612: 609: 608: 566: 563: 562: 546: 543: 542: 507: 504: 503: 475: 472: 471: 464: 435: 412: 410:Basic principle 364: 358: 341: 321: 285: 241: 232: 213: 207: 168: 113:X-ray detectors 109:X-ray generator 95: 84: 78: 75: 64: 52: 38: 36: 34: 32: 23: 22: 15: 12: 11: 5: 3615: 3605: 3604: 3587: 3586: 3584: 3583: 3572: 3569: 3568: 3566: 3565: 3560: 3554: 3552: 3548: 3547: 3545: 3544: 3539: 3534: 3528: 3526: 3520: 3519: 3517: 3516: 3511: 3509:Endomicroscopy 3506: 3501: 3500: 3499: 3488: 3486: 3476: 3475: 3472: 3471: 3468: 3467: 3465: 3464: 3459: 3454: 3449: 3444: 3438: 3436: 3425: 3424: 3422: 3421: 3415: 3413: 3399: 3392: 3391: 3388: 3387: 3385: 3384: 3379: 3374: 3369: 3363: 3361: 3357: 3356: 3354: 3353: 3348: 3343: 3338: 3333: 3328: 3323: 3318: 3313: 3308: 3303: 3298: 3293: 3287: 3281: 3271: 3265: 3264: 3262: 3261: 3260: 3259: 3254: 3244: 3239: 3234: 3229: 3224: 3223: 3222: 3217: 3207: 3202: 3197: 3192: 3187: 3182: 3181: 3180: 3175: 3170: 3165: 3155: 3154: 3153: 3148: 3143: 3138: 3133: 3124: 3122: 3116: 3115: 3113: 3112: 3107: 3106: 3105: 3100: 3095: 3085: 3080: 3075: 3070: 3069: 3068: 3058: 3053: 3052: 3051: 3040: 3038: 3032: 3031: 3028: 3027: 3025: 3024: 3019: 3014: 3009: 3004: 2998: 2996: 2992: 2991: 2988: 2987: 2985: 2984: 2983: 2982: 2972: 2967: 2962: 2961: 2960: 2955: 2945: 2944: 2943: 2933: 2932: 2931: 2926: 2917: 2915: 2911: 2910: 2908: 2907: 2902: 2897: 2892: 2887: 2882: 2876: 2874: 2867: 2861: 2860: 2857: 2856: 2854: 2853: 2848: 2843: 2838: 2837: 2836: 2831: 2821: 2816: 2811: 2806: 2801: 2796: 2791: 2782: 2769: 2760: 2755: 2750: 2749: 2748: 2738: 2733: 2728: 2723: 2717: 2711: 2702: 2691: 2690: 2683: 2682: 2675: 2668: 2660: 2654: 2653: 2646: 2645:External links 2643: 2641: 2640: 2626: 2624: 2621: 2618: 2617: 2601: 2589: 2577: 2565: 2536: 2514: 2501: 2494: 2472: 2445: 2438: 2418: 2342: 2341: 2339: 2336: 2279: 2276: 2262:) describes a 2235: 2232: 2202: 2199: 2178: 2175: 2164:Willi Kalender 2145: 2144: 2137: 2131: 2130: 2123: 2120: 2111: 2108: 2105: 2104: 2095: 2093: 2081: 2078: 2075: 2070: 2066: 2062: 2059: 2056: 2053: 2050: 2047: 2044: 2014: 2011: 2008: 2005: 2002: 1999: 1980: 1979: 1970: 1968: 1956: 1953: 1949: 1946: 1943: 1940: 1937: 1934: 1931: 1928: 1925: 1922: 1919: 1916: 1913: 1910: 1907: 1904: 1901: 1898: 1895: 1892: 1889: 1886: 1881: 1876: 1873: 1868: 1863: 1860: 1857: 1854: 1851: 1846: 1842: 1811: 1808: 1805: 1802: 1799: 1796: 1776: 1773: 1770: 1765: 1762: 1759: 1756: 1753: 1748: 1722: 1719: 1716: 1711: 1707: 1680: 1677: 1674: 1669: 1665: 1651: 1650: 1641: 1639: 1625: 1619: 1616: 1613: 1610: 1607: 1606: 1603: 1600: 1597: 1594: 1591: 1590: 1588: 1583: 1578: 1572: 1569: 1566: 1563: 1562: 1559: 1556: 1553: 1550: 1547: 1546: 1544: 1539: 1536: 1533: 1530: 1527: 1522: 1519: 1516: 1511: 1477: 1474: 1471: 1466: 1463: 1460: 1455: 1433: 1409: 1406: 1403: 1400: 1397: 1377: 1357: 1354: 1351: 1346: 1342: 1318: 1315: 1312: 1309: 1306: 1286: 1283: 1280: 1277: 1274: 1254: 1234: 1214: 1201: 1200: 1191: 1189: 1173: 1170: 1166: 1162: 1159: 1156: 1150: 1147: 1140: 1135: 1132: 1129: 1126: 1123: 1120: 1117: 1112: 1107: 1104: 1099: 1094: 1091: 1088: 1085: 1081: 1078: 1075: 1072: 1069: 1066: 1063: 1060: 1057: 1054: 1049: 1045: 1040: 1036: 1033: 1030: 1027: 1024: 1019: 1015: 1011: 1010: 994: 993: 984: 982: 965: 961: 958: 954: 950: 947: 944: 938: 935: 928: 923: 920: 917: 914: 911: 908: 905: 900: 895: 892: 887: 882: 878: 874: 871: 866: 862: 858: 854: 850: 847: 843: 840: 837: 834: 831: 828: 825: 822: 818: 814: 811: 806: 802: 798: 795: 792: 791: 765: 743: 738: 710: 707: 704: 701: 679: 675: 645: 623: 618: 585: 582: 579: 576: 573: 570: 550: 526: 523: 520: 517: 514: 511: 491: 488: 485: 482: 479: 463: 460: 459: 458: 455: 433: 411: 408: 376:linear algebra 357: 354: 340: 337: 320: 317: 284: 281: 275:The μ(x,y) is 267:plane and the 240: 237: 231: 228: 224:radiocontrasts 209:Main article: 206: 205:Contrast media 203: 167: 164: 97: 96: 79:September 2016 55: 53: 46: 37:X: X-ray beam 33:T: X-ray tube 9: 6: 4: 3: 2: 3614: 3603: 3600: 3599: 3597: 3582: 3574: 3573: 3570: 3564: 3561: 3559: 3556: 3555: 3553: 3549: 3543: 3540: 3538: 3535: 3533: 3530: 3529: 3527: 3525: 3521: 3515: 3512: 3510: 3507: 3505: 3502: 3498: 3495: 3494: 3493: 3490: 3489: 3487: 3485: 3481: 3477: 3463: 3460: 3458: 3455: 3453: 3450: 3448: 3445: 3443: 3440: 3439: 3437: 3434: 3430: 3426: 3420: 3417: 3416: 3414: 3411: 3407: 3403: 3400: 3398: 3393: 3383: 3380: 3378: 3377:Ga-68-DOTATOC 3375: 3373: 3370: 3368: 3365: 3364: 3362: 3358: 3352: 3349: 3347: 3344: 3342: 3339: 3337: 3334: 3332: 3329: 3327: 3324: 3322: 3319: 3317: 3314: 3312: 3309: 3307: 3304: 3302: 3299: 3297: 3294: 3292: 3289: 3288: 3285: 3282: 3280: 3275: 3272: 3270: 3266: 3258: 3255: 3253: 3250: 3249: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3221: 3218: 3216: 3213: 3212: 3211: 3208: 3206: 3203: 3201: 3198: 3196: 3193: 3191: 3190:Intravascular 3188: 3186: 3183: 3179: 3176: 3174: 3171: 3169: 3166: 3164: 3161: 3160: 3159: 3156: 3152: 3149: 3147: 3144: 3142: 3139: 3137: 3134: 3132: 3129: 3128: 3126: 3125: 3123: 3121: 3117: 3111: 3110:Synthetic MRI 3108: 3104: 3101: 3099: 3096: 3094: 3091: 3090: 3089: 3086: 3084: 3081: 3079: 3076: 3074: 3071: 3067: 3064: 3063: 3062: 3059: 3057: 3054: 3050: 3047: 3046: 3045: 3042: 3041: 3039: 3037: 3033: 3023: 3020: 3018: 3015: 3013: 3010: 3008: 3005: 3003: 3000: 2999: 2997: 2993: 2981: 2978: 2977: 2976: 2973: 2971: 2968: 2966: 2963: 2959: 2956: 2954: 2951: 2950: 2949: 2946: 2942: 2939: 2938: 2937: 2934: 2930: 2927: 2925: 2922: 2921: 2919: 2918: 2916: 2912: 2906: 2903: 2901: 2900:Electron beam 2898: 2896: 2893: 2891: 2888: 2886: 2883: 2881: 2878: 2877: 2875: 2871: 2868: 2866: 2862: 2852: 2851:Orbital x-ray 2849: 2847: 2844: 2842: 2839: 2835: 2832: 2830: 2827: 2826: 2825: 2822: 2820: 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2800: 2797: 2795: 2792: 2790: 2786: 2783: 2781: 2777: 2773: 2770: 2768: 2764: 2761: 2759: 2756: 2754: 2751: 2747: 2746:Bronchography 2744: 2743: 2742: 2739: 2737: 2734: 2732: 2729: 2727: 2724: 2722: 2719: 2718: 2715: 2712: 2710: 2706: 2703: 2701: 2696: 2692: 2688: 2681: 2676: 2674: 2669: 2667: 2662: 2661: 2658: 2652: 2649: 2648: 2634: 2632: 2627: 2614: 2610: 2605: 2599: 2593: 2587: 2581: 2575: 2569: 2562: 2559: 2555: 2552: 2549: 2545: 2540: 2533: 2530: 2527: 2523: 2518: 2511: 2505: 2497: 2495:9780323400350 2491: 2487: 2481: 2476: 2469:. 2011-08-11. 2468: 2464: 2463: 2455: 2449: 2441: 2439:9780323263580 2435: 2431: 2430: 2422: 2414: 2410: 2405: 2400: 2396: 2392: 2388: 2384: 2380: 2376: 2371: 2366: 2362: 2358: 2354: 2347: 2343: 2335: 2332: 2331: 2326: 2320: 2318: 2315: 2311: 2307: 2303: 2299: 2298:cesium iodide 2295: 2291: 2285: 2275: 2273: 2267: 2265: 2261: 2257: 2253: 2249: 2247: 2241: 2231: 2229: 2228:field of view 2220: 2216: 2212: 2207: 2198: 2194: 2192: 2188: 2184: 2174: 2171: 2169: 2165: 2161: 2159: 2155: 2151: 2142: 2138: 2136: 2132: 2127: 2119: 2117: 2103: 2096: 2094: 2092: 2076: 2068: 2064: 2060: 2054: 2051: 2048: 2042: 2034: 2033: 2030: 2028: 2009: 2006: 2003: 1997: 1989: 1988: 1978: 1971: 1969: 1967: 1954: 1951: 1944: 1941: 1938: 1935: 1932: 1929: 1926: 1923: 1920: 1917: 1914: 1911: 1908: 1905: 1902: 1899: 1896: 1893: 1890: 1884: 1871: 1866: 1861: 1858: 1852: 1844: 1840: 1831: 1830: 1827: 1825: 1806: 1803: 1800: 1794: 1771: 1760: 1757: 1754: 1746: 1736: 1717: 1709: 1705: 1696: 1695: 1675: 1667: 1663: 1655:The function 1649: 1642: 1640: 1638: 1623: 1617: 1614: 1611: 1608: 1601: 1598: 1595: 1592: 1586: 1581: 1576: 1570: 1567: 1564: 1557: 1554: 1551: 1548: 1542: 1537: 1534: 1528: 1520: 1517: 1514: 1509: 1499: 1498: 1495: 1493: 1492: 1472: 1464: 1461: 1458: 1453: 1431: 1422: 1404: 1401: 1398: 1375: 1352: 1344: 1340: 1330: 1313: 1310: 1307: 1281: 1278: 1275: 1252: 1232: 1212: 1199: 1192: 1190: 1188: 1171: 1168: 1157: 1148: 1145: 1127: 1121: 1115: 1102: 1097: 1092: 1089: 1086: 1083: 1076: 1073: 1070: 1064: 1061: 1058: 1055: 1047: 1043: 1038: 1034: 1028: 1025: 1022: 1017: 1013: 1000: 999: 992: 985: 983: 981: 963: 959: 956: 945: 936: 933: 915: 909: 903: 890: 885: 880: 876: 872: 869: 864: 860: 856: 852: 848: 845: 838: 835: 832: 826: 823: 820: 816: 812: 809: 804: 800: 796: 793: 781: 780: 777: 763: 741: 736: 726: 725: 705: 699: 677: 673: 665: 661: 660: 643: 621: 616: 606: 602: 597: 580: 577: 574: 568: 548: 540: 521: 518: 515: 509: 486: 483: 480: 469: 456: 453: 452: 451: 443: 439: 431: 427: 423: 421: 415: 407: 405: 401: 397: 393: 388: 385: 381: 377: 373: 372:deterministic 369: 363: 353: 349: 345: 336: 334: 330: 326: 316: 314: 309: 306: 302: 298: 294: 289: 280: 278: 273: 270: 266: 262: 258: 254: 250: 245: 236: 227: 225: 222:, are called 221: 217: 212: 202: 199: 195: 194: 189: 185: 181: 177: 173: 163: 161: 157: 153: 145: 141: 137: 132: 125: 120: 116: 114: 110: 106: 104: 93: 90: 82: 72: 68: 62: 61: 56:This section 54: 50: 45: 44: 29: 19: 3558:Acute stroke 3524:Thermography 3279:scintigraphy 3269:Radionuclide 3257:pre-hospital 3103:Tractography 3022:Radiodensity 2924:calcium scan 2885:Quantitative 2879: 2604: 2592: 2580: 2568: 2560: 2539: 2534:: (2) 81-89. 2531: 2517: 2504: 2485: 2475: 2460: 2448: 2428: 2421: 2360: 2356: 2346: 2329: 2324: 2321: 2302:ion chambers 2287: 2268: 2251: 2250: 2245: 2243: 2227: 2224: 2219:abdominal CT 2210: 2195: 2180: 2172: 2162: 2153: 2149: 2148: 2113: 2097: 2035: 2026: 1985: 1983: 1972: 1832: 1734: 1692: 1654: 1643: 1500: 1489: 1423: 1331: 1204: 1193: 1001: 986: 782: 722: 657: 598: 465: 448: 441: 437: 429: 416: 413: 365: 350: 346: 342: 332: 328: 324: 322: 312: 310: 300: 296: 292: 290: 286: 274: 268: 264: 260: 256: 252: 248: 246: 242: 233: 214: 193:cone beam CT 191: 187: 183: 169: 151: 149: 143: 139: 135: 123: 107:by using an 101: 100: 85: 76: 65:Please help 60:verification 57: 3447:Cardiac PET 3220:renal tract 3195:Gynecologic 3127:Techniques 3098:restriction 3073:Angiography 3056:Neurography 3002:Fluoroscopy 2948:Angiography 2929:angiography 2873:Techniques: 2834:Aortography 2824:Angiography 2804:Cystography 2794:Mammography 2736:Myelography 2731:Sialography 2700:radiography 2544:Kalender WA 2522:Kalender WA 2310:photodiodes 1826:of μ(x,y). 601:attenuation 333:table speed 211:Contrast CT 198:fluoroscopy 3360:Full body: 3146:endoscopic 3120:Ultrasound 3049:functional 2846:Lymphogram 2841:Venography 2809:Arthrogram 2563:: (2) 583. 2370:1605.04833 2338:References 2314:rare-earth 2221:pictured). 2211:scan range 2168:synonymous 664:absorbance 662:) and the 329:table feed 305:collimated 239:Statements 172:X-ray tube 18:Helical CT 3563:Pregnancy 3442:Brain PET 3410:gamma ray 3346:DMSA scan 3200:Obstetric 3093:diffusion 3088:Sequences 3066:perfusion 2958:Pulmonary 2905:Cone beam 2799:Pyelogram 2551:Radiology 2395:2045-2322 2363:: 41218. 2330:spiral CT 2189:vessels ( 2183:prototype 2122:Spiral CT 2069:θ 2055:θ 2010:θ 1945:θ 1942:⁡ 1930:θ 1927:⁡ 1915:θ 1912:⁡ 1903:− 1900:θ 1897:⁡ 1885:μ 1880:∞ 1875:∞ 1872:− 1867:∫ 1862:− 1845:θ 1807:θ 1755:θ 1710:θ 1668:θ 1618:θ 1615:⁡ 1602:θ 1599:⁡ 1571:θ 1568:⁡ 1558:θ 1555:⁡ 1549:− 1515:θ 1494:) below. 1459:θ 1432:θ 1376:θ 1345:θ 1149:˙ 1116:μ 1111:∞ 1106:∞ 1103:− 1098:∫ 1093:− 1065:μ 1062:∫ 1059:− 1029:⁡ 937:˙ 904:μ 899:∞ 894:∞ 891:− 886:∫ 881:− 873:⁡ 827:μ 824:∫ 821:− 813:⁡ 599:When the 581:θ 549:μ 510:μ 380:iterative 325:increment 166:Structure 140:scanogram 3596:Category 3581:Category 3433:positron 2953:Coronary 2554:Archived 2546:(1994). 2524:(1994). 2480:Page 310 2413:28120881 2191:coronary 1697:). That 727:). Here 152:sinogram 144:topogram 124:sinogram 105:operates 3480:Optical 3462:PET-MRI 3242:Carotid 3237:Scrotal 3131:doppler 3061:Cardiac 2970:Thyroid 2914:Targets 2865:CT scan 2404:5264594 2375:Bibcode 2325:helical 2292:, with 2278:History 2264:helical 2156:, is a 2141:D036542 3457:PET-CT 3232:Breast 3227:Rectal 3151:duplex 3083:Breast 2920:Heart 2615:(MeSH) 2492:  2436:  2411:  2401:  2393:  2317:garnet 2260:X-rays 2215:voxels 1737:along 1735:μ(x,y) 430:Fig. 3 3484:Laser 3406:SPECT 3215:renal 3044:Brain 2995:Other 2695:X-ray 2623:Notes 2457:(PDF) 2365:arXiv 2306:xenon 2201:Pitch 2187:blood 2152:, or 404:ASICs 400:FPGAs 136:scout 3252:FAST 2965:Head 2490:ISBN 2482:in: 2462:IAEA 2434:ISBN 2409:PMID 2391:ISSN 2246:CBCT 2135:MeSH 1297:and 636:and 440:and 259:and 251:and 3429:PET 3397:ECT 3395:3D/ 3277:2D/ 3178:ICE 3173:TEE 3168:TTE 3036:MRI 2767:DXR 2763:DXA 2758:KUB 2753:AXR 2741:CXR 2561:193 2399:PMC 2383:doi 2327:or 1939:cos 1924:sin 1909:sin 1894:cos 1612:sin 1596:cos 1565:cos 1552:sin 870:exp 810:exp 402:or 396:GPU 327:or 142:or 69:by 3598:: 3435:): 3412:): 3141:3D 2709:2D 2630:^ 2532:15 2465:. 2459:. 2407:. 2397:. 2389:. 2381:. 2373:. 2359:. 2355:. 2029:. 1026:ln 596:. 442:ts 438:xy 422:. 313:xy 301:ts 297:ts 293:ts 269:ts 265:xy 261:ts 257:xy 253:ts 249:xy 188:xy 122:A 3482:/ 3431:( 3408:( 2787:/ 2778:/ 2774:/ 2765:/ 2697:/ 2679:e 2672:t 2665:v 2498:. 2442:. 2415:. 2385:: 2377:: 2367:: 2361:7 2217:( 2102:) 2100:5 2098:( 2080:) 2077:s 2074:( 2065:p 2061:= 2058:) 2052:, 2049:s 2046:( 2043:p 2013:) 2007:, 2004:s 2001:( 1998:p 1987:5 1977:) 1975:4 1973:( 1955:t 1952:d 1948:) 1936:t 1933:+ 1921:s 1918:, 1906:t 1891:s 1888:( 1859:= 1856:) 1853:s 1850:( 1841:p 1810:) 1804:, 1801:s 1798:( 1795:p 1775:) 1772:t 1769:( 1764:] 1761:s 1758:, 1752:[ 1747:l 1721:) 1718:s 1715:( 1706:p 1694:4 1679:) 1676:s 1673:( 1664:p 1648:) 1646:3 1644:( 1624:] 1609:s 1593:s 1587:[ 1582:+ 1577:] 1543:[ 1538:t 1535:= 1532:) 1529:t 1526:( 1521:s 1518:, 1510:l 1491:3 1476:) 1473:t 1470:( 1465:s 1462:, 1454:l 1408:) 1405:y 1402:, 1399:x 1396:( 1356:) 1353:s 1350:( 1341:p 1317:) 1314:y 1311:, 1308:x 1305:( 1285:) 1282:s 1279:, 1276:t 1273:( 1253:s 1233:t 1213:t 1198:) 1196:2 1194:( 1172:t 1169:d 1165:| 1161:) 1158:t 1155:( 1146:l 1139:| 1134:) 1131:) 1128:t 1125:( 1122:l 1119:( 1090:= 1087:l 1084:d 1080:) 1077:y 1074:, 1071:x 1068:( 1056:= 1053:) 1048:0 1044:I 1039:/ 1035:I 1032:( 1023:= 1018:l 1014:p 991:) 989:1 987:( 964:) 960:t 957:d 953:| 949:) 946:t 943:( 934:l 927:| 922:) 919:) 916:t 913:( 910:l 907:( 877:( 865:0 861:I 857:= 853:) 849:l 846:d 842:) 839:y 836:, 833:x 830:( 817:( 805:0 801:I 797:= 794:I 764:I 742:0 737:I 724:2 709:) 706:t 703:( 700:l 678:l 674:p 659:1 644:I 622:0 617:I 584:) 578:, 575:s 572:( 569:p 525:) 522:y 519:, 516:x 513:( 490:) 487:y 484:, 481:x 478:( 434:θ 184:z 138:( 92:) 86:( 81:) 77:( 63:. 20:)

Index

Helical CT


verification
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X-ray computed tomography
X-ray generator
X-ray detectors


tomographic reconstruction
Radon transformation
X-ray tube
electron beam tomography
coronary arteries
cone beam CT
fluoroscopy
Contrast CT
Contrast mediums
plain film X-ray
radiocontrasts
absorption coefficient
collimated
Tomographic reconstruction
filtered back projection
deterministic
linear algebra
iterative

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