A perspective on K-space.

Mezrich, Reuben

doi:10.1148/radiology.195.2.7724743

Cited by 126 publications

(46 citation statements)

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“…This work was later expanded upon to describe diffraction tomography in general [3]. K-space has also been used to analyze magnetic resonance imaging systems [4]. The application of k-space to this modality is natural because data are acquired as points in k-space and must be Fourier transformed to yield an image.…”

Section: Introductionmentioning

confidence: 99%

The application of k-space in pulse echo ultrasound

Walker

Trahey

1998

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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K-space is a frequency domain description of imaging systems and targets that can be used to gain insight into image formation. Although originally proposed in ultrasound for the analysis of experiments involving anisotropic scattering and for the design of acoustic tomography systems, it is particularly useful for the analysis of pulse echo ultrasonic imaging systems. This paper presents analytical and conceptual techniques for estimating the k-space representation of pulse echo imaging systems with arbitrary transmit and receive array geometries and apodizations. Simple graphical methods of estimating the first and second order statistics of speckle are presented. Examples are presented that utilize k-space to gain insight regarding the performance of spatial and frequency compounding and to describe the impact of synthetic receive aperture geometry on beamforming and speckle statistics. The Van Cittert-Zernike theorem is presented in k-space, and techniques for improving echo coherence are discussed.

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Section: Introductionmentioning

confidence: 99%

The application of k-space in pulse echo ultrasound

Walker

Trahey

1998

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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“…The center of k-space contains the low spatial frequency data that give images their overall shape and contrast [15]. The periphery of k-space contains the high frequency data, which represent edges in an image.…”

Section: Discussionmentioning

confidence: 99%

Contrast-enhanced three-dimensional MR angiography with an elliptical centric view for the evaluation of intracranial aneurysms

et al. 2006

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The purpose of this study was to assess the feasibility of high spatial resolution, selective arterial phase, 3D contrast-enhanced (CE) MR angiography with first pass bolus, software-trigger, elliptical centric view ordering in the detection of intracranial aneurysms. Our study included nine consecutive patients with ten intracranial aneurysms. 3D TOF MR angiography and 3D CE MR angiography were carried out with a 1.5-T MR scanner. 3D CE MR angiography was performed with an automated bolus detection algorithm and elliptical centric view order using ultrafast SPGR with a spatial resolution of 0.63x0.83x0.5 mm and imaging time of 55 s. Observers detected seven of ten aneurysms on 3D TOF MR angiograms and nine of ten aneurysms on 3D CE MR angiograms. 3D CE MR angiography clearly revealed an IC-PC aneurysm with a relatively smaller neck, a broad-based small aneurysm originating from tortuous and dilated MCA bifurcation, and a residual aneurysm and parent vessels adjacent to metallic aneurysmal clips, which had relatively low signal intensities on 3D TOF MR angiograms. 3D CE MR angiography was found to be a good and promising technique for detecting intracranial aneurysms with small necks and slow flow, vasculature with aneurysmal clips and tortuous vasculature with disturbed flow.

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“…Data is sampled in MRI in a data matrix or k-space (Twieg 1983;Mezrich 1995). Every point therein contains part of the information for the complete image upon inverse Fourier transformation.…”

Section: Scan Time As a Source Of Pitfallsmentioning

confidence: 99%