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3d voronoi diagram based method  (MathWorks Inc)


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  • 90

    Structured Review

    MathWorks Inc 3d voronoi diagram based method
    <t>3D</t> golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed <t>voronoi</t> regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.
    3d Voronoi Diagram Based Method, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/result/3d voronoi diagram based method/product/MathWorks Inc
    Average 90 stars, based on 1 article reviews
    3d voronoi diagram based method - by Bioz Stars, 2026-04
    90/100 stars

    Images

    1) Product Images from "Rapid Dynamic Contrast-Enhanced MRI for Small Animals at 7T using 3D Ultra-Short Echo Time and Golden-Angle Radial Sparse Parallel MRI"

    Article Title: Rapid Dynamic Contrast-Enhanced MRI for Small Animals at 7T using 3D Ultra-Short Echo Time and Golden-Angle Radial Sparse Parallel MRI

    Journal: Magnetic resonance in medicine

    doi: 10.1002/mrm.27357

    3D golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed voronoi regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.
    Figure Legend Snippet: 3D golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed voronoi regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.

    Techniques Used: Sampling, Imaging, Modification



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    MathWorks Inc 3d voronoi diagram based method
    <t>3D</t> golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed <t>voronoi</t> regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.
    3d Voronoi Diagram Based Method, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/result/3d voronoi diagram based method/product/MathWorks Inc
    Average 90 stars, based on 1 article reviews
    3d voronoi diagram based method - by Bioz Stars, 2026-04
    90/100 stars
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    3D golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed voronoi regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.

    Journal: Magnetic resonance in medicine

    Article Title: Rapid Dynamic Contrast-Enhanced MRI for Small Animals at 7T using 3D Ultra-Short Echo Time and Golden-Angle Radial Sparse Parallel MRI

    doi: 10.1002/mrm.27357

    Figure Lengend Snippet: 3D golden angle sampling and parallel imaging. (a) modified 3D radial spokes in k-space with azimuth angle Φ = 2πmA and projection length (Z) in kz direction being the modules one of mB, for m = 1, 2, …, 102712 spokes with 2D golden angle means, A = 0.6823 and B = 0.4656. Distribution of 400 projection tips for the random (b), modified (c) and original (d) 3D golden angle sampling. The green areas are computed voronoi regions for k-space sampling density compensation. (e) Demonstration of images of individual channels of the receive coil and the coil sensitivity maps estimated from the temporal average of all spokes.

    Article Snippet: Density compensation factors were computed using the 3D Voronoi diagram based method (implemented in Matlab with the function voronoin ), which implements a quick hull algorithm ( 29 ) to compute the volume of each sampling point in k -space.

    Techniques: Sampling, Imaging, Modification