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The conventional method to evaluate the resolution of a [[tomography]] reconstruction is determined by the '''Crowther criterion'''.<ref name=Cr ...of Three-Dimensional Resolution and Dose for Aberration-Corrected Electron Tomography|year=2021|author1=R. Yalisove |author2=S.H. Sung |author3=P. Ercius |author ...

...ing no 1-D counterpart. It has applications that range from computer-aided tomography to geophysical signal processing. It is a problem which can be explored fro ...e it is widely applied in areas such as [[medical imaging]], [[geophysical tomography]], [[industrial radiography]] and so on. For example, by using [[CT scanner ...

...esented by the function ''&fnof;''. [[Inverse problem|Inversion]] of the X-ray transform is therefore of practical importance because it allows one to rec ...^''n'', then the X-ray transform of ''&fnof;'' is the function ''X&fnof;'' defined on the set of all lines in '''R'''^''n'' by ...

...A method for describing the doses delivered by transmission x-ray computed tomography|journal=Medical Physics|date=July 1981|volume=8|issue=4|pages=488–495|doi=1 In [[Spiral computed tomography|helical CT]], the pitch of the machine - a factor of the speed at which the ...

...]]s, leading to lower [[spatial resolution]] than [[X-ray Tomography|X-ray tomography]]. Further experiments were largely abandoned until the advent of proton [ Proton computed tomography (pCT) uses measurements of a proton's position/[[trajectory]] and [[energy] ...

{{short description|Quantity used to assess X radiation risk}} ...(mSv) as used to quantify equivalent and effective doses for gamma (γ) and X-rays.<ref>{{Cite journal |last1=Nguyen |first1=Patricia K |last2=Wu |first2 ...

...terior reconstruction can be applied to dental or cardiac [[X-ray computed tomography|CT]] images, the concept is not limited to CT.<!--We should provide example The purpose of each method is to solve for vector <math>x</math> in the following problem: ...

<br/>T: X-ray tube <br/>D: X-ray detectors ...

...ling]] inference). ''It is a completely different approach from [[computed tomography]]''. == Stereology is not tomography == ...

...approximation/interpolation. Geometrically, a box spline is the shadow (X-ray) of a hypercube projected down to a lower-dimensional space.<ref>{{Cite boo ...thbf{x}) = \begin{cases} \frac{1}{\mid{\det{\Xi}}\mid} &\text{if } \mathbf{x} = \sum_{n=1}^d{t_n \xi_n} \text{ for some } 0 \le t_n < 1 \\ 0 & \text{oth ...

...-\infty}^\infty \sum_{n_2=-\infty}^\infty \cdots \sum_{n_m=-\infty}^\infty x(n_1,n_2,\dots,n_m) e^{-j 2 \pi k_1 n_1} e^{-j 2 \pi k_2 n_2} \cdots e^{-j 2 where ''X'' stands for the multidimensional discrete Fourier transform, ''x'' stands for the sampled time/space domain signal, ''m'' stands for the num ...

...ndidates to be used as [[Magnetic resonance imaging|MRI]]/[[X-ray computed tomography|CT]] scanning agents and a high-density recording material.<ref>{{cite jour ...y [[transmission electron microscopy]] (TEM) and [[X-ray crystallography|X-ray diffraction]]. ...

...Landweber algorithm <ref name="Landweber"/> attempts to recover a signal ''x'' from (noisy) measurements ''y''. The linear version assumes that <math>y ...aic curve#Singularities|nonsingular]], then an explicit solution is <math> x = A^{-1} y</math>. However, if ''A'' is [[ill-conditioned]], the explicit s ...

...first1=E. |last2=Proksa |first2=R. |title=K-edge imaging in X-ray computed tomography using multi-bin photon counting detectors |journal=Phys. Med. Biol. |date=2 ...i |first2=A. |title=Energy-selective reconstructions in X-ray computerized tomography |journal=Phys. Med. Biol. |date=1976 |volume=21 |issue=5 |pages=733–744|doi ...

...the idea that the minimization of a multivariable function <math>F(\mathbf{x})</math> can be achieved by minimizing it along one direction at a time, i. : <math>\mathbf{x}^0 = (x^0_1, \ldots, x^0_n)</math>, ...

...|last2=Arsuaga|first2=Juan Luis|title=Reconstitution 3D par ''Computerized-tomography'' (CT) et endocrâne virtuel du crâne 5 du site de la Sima de Los Huesos (At ...raphic technique such as computed tomographic imaging, or [[X-ray computed tomography|CT scans]], coupled with computer programming have been used to analyze bra ...

...st common [[Breast imaging|breast imaging techniques]] are [[Mammography|X-ray mammography]], [[Breast ultrasound|ultrasounds]], [[Breast MRI|MRI]] and [[ ...in breast cancer: Single-photon computed tomography and positron-emission tomography |journal=Breast Cancer Research |date=12 May 2005 |volume=7 |issue=4 |pages ...

...wo kinds of representations of light propagation: the [[Geometrical optics|ray optics]] picture<ref name=":0">{{Cite book|last1=Levoy|first1=Marc|last2=Ng ...zed as a combination of a 2D coordinate of the microlens through which the ray passes and a 2D coordinate of the subimage pixel on which it falls. ]] ...

...|title=Tomographic Image Reconstruction in the Case of Limited Number of X-Ray Projections Using Sinogram Inpainting |url=https://doi.org/10.1134/S1061830 ...[[Closed-form expression|closed-form representation]] or can be accurately computed, for <math>\tau >0</math>,<ref name=":0" /> where <math> \text{prox}_{\tau ...

[[File:X-ray-PhaseContrast-EarPlug.png|thumb|400x400px|X-ray absorption (left) and differential phase-contrast (right) image of an in-ea ...irst6 = P. | doi = 10.3109/02841851.2010.504742 | title = Phase-contrast X-ray imaging of breast | journal = Acta Radiologica | volume = 51 | issue = 8 | ...