Exact analytic reconstruction in x-ray fluorescence CT and approximated versions

Miqueles, Eduardo X.; Pierro, Alvaro R. De

doi:10.1088/0031-9155/55/4/007

Cited by 42 publications

(14 citation statements)

References 25 publications

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“…In order to minimze the detection of elastic and Compton scattered photons and improve the signal-to-background ratio, the fluorescence detector is positioned 90° from the incident beam. 102, 107–108 X-ray transmittance is simultaenously acquired using a conventional CT detector in order to provide co-registered XRF and CT images. Samples are scanned and rotated through a series of angles and the emitted fluorescence intensity is collected at each orientation.…”

Section: X-ray Fluorescence (Xrf)mentioning

confidence: 99%

Advances in functional X-ray imaging techniques and contrast agents

Chen

Rogalski

Anker

2012

Phys. Chem. Chem. Phys.

136

118

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X-rays have been used for non-invasive high-resolution imaging of thick biological specimens since their discovery in 1895. They are widely used for structural imaging of bone, metal implants, and cavities in soft tissue. Recently, a number of new contrast methodologies have emerged which are expanding X-ray’s biomedical applications to functional as well as structural imaging. These techniques are promising to dramatically improve our ability to study in situ biochemistry and disease pathology. In this review, we discuss how X-ray absorption, X-ray fluorescence, and X-ray excited optical luminescence can be used for physiological, elemental, and molecular imaging of vasculature, tumours, pharmaceutical distribution, and the surface of implants. Imaging of endogenous elements, exogenous labels, and analytes detected with optical indicators will be discussed.

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Section: X-ray Fluorescence (Xrf)mentioning

confidence: 99%

Advances in functional X-ray imaging techniques and contrast agents

Chen

Rogalski

Anker

2012

Phys. Chem. Chem. Phys.

136

118

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“…In the XFCT literature, the scattering effect is treated as noise. 25 In the XLCT work, the Stanford group that developed XLCT has implicitly assumed that the stimulating x-rays traveled strictly in straight lines. 6 To address this source of inaccuracy, the x-ray scattering compensation as we have showcased in this paper must be a key step for either XLCT or XFCT, and especially for the former.…”

Section: Discussionmentioning

confidence: 99%

Spectrally resolving and scattering-compensated x-ray luminescence∕fluorescence computed tomography

2011

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Abstract. The nanophosphors, or other similar materials, emit near-infrared (NIR) light upon x-ray excitation. They were designed as optical probes for in vivo visualization and analysis of molecular and cellular targets, pathways, and responses. Based on the previous work on x-ray fluorescence computed tomography (XFCT) and x-ray luminescence computed tomography (XLCT), here we propose a spectrally-resolving and scatteringcompensated x-ray luminescence/fluorescence computed tomography (SXLCT or SXFCT) approach to quantify a spatial distribution of nanophosphors (other similar materials or chemical elements) within a biological object. In this paper, the x-ray scattering is taken into account in the reconstruction algorithm. The NIR scattering is described in the diffusion approximation model. Then, x-ray excitations are applied with different spectra, and NIR signals are measured in a spectrally resolving fashion. Finally, a linear relationship is established between the nanophosphor distribution and measured NIR data using the finite element method and inverted using the compressive sensing technique. The numerical simulation results demonstrate the feasibility and merits of the proposed approach. C 2011 Society of Photo-Optical Instrumentation Engineers (SPIE).

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“…In addition to the construction of the Inverse attenuated Radon transform, the approach reviewed here has led to the construction of the X-ray fluorescence computed tomography [20].…”

Section: The Inverse Radon Transform and The Inverse Attenuated Radonmentioning

confidence: 99%

Mathematical Methods in PET and SPECT Imaging

Fokas

Kastis

2014

Handbook of Mathematical Methods in Imaging

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In this chapter, we present the mathematical formulation of the inverse Radon transform and of the inverse attenuated Radon transform (IART), which are used in PET and SPECT image reconstruction, respectively. Using a new method for deriving transform pairs in one and two dimensions, we derive the inverse Radon transform and the IART. Furthermore, we discuss an alternative approach for computing the Hilbert transform using cubic splines. This new approach, which is referred to as spline reconstruction technique, is formulated in the physical space, in contrast to the well-known filtered backprojection (FBP) algorithm which is formulated in the Fourier space. Finally, we present the results of several rigorous studies comparing FBP with SRT for PET. These studies, which use both simulated and real data and which employ a variety of image quality measures including contrast and bias, indicate that SRT has certain advantages in comparison with FBP.

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Exact analytic reconstruction in x-ray fluorescence CT and approximated versions

Cited by 42 publications

References 25 publications

Advances in functional X-ray imaging techniques and contrast agents

Advances in functional X-ray imaging techniques and contrast agents

Spectrally resolving and scattering-compensated x-ray luminescence∕fluorescence computed tomography

Mathematical Methods in PET and SPECT Imaging

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