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Related Concept Videos

Downsampling01:20

Downsampling

874
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
874
Upsampling01:22

Upsampling

749
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
749

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Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
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Under-sampling trajectory design for compressed sensing based DCE-MRI.

Duan-duan Liu, Dong Liang, Na Zhang

    Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
    |October 11, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel compressed sensing (CS) trajectory for dynamic contrast-enhanced MRI (DCE-MRI). The new method improves kinetic parameter estimation accuracy and robustness, crucial for tumor imaging.

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    Area of Science:

    • Medical Imaging
    • Biophysics
    • Radiology

    Background:

    • Dynamic contrast-enhanced MRI (DCE-MRI) requires high temporal and spatial resolution for accurate tumor vasculature characterization.
    • Compressed Sensing (CS) offers potential for improved DCE-MRI but traditional variable density (VD) undersampling can introduce uncertainty in parameter estimation.
    • Existing VD schemes often necessitate multiple parameter adjustments and reconstructions, limiting their applicability in DCE-MRI.

    Purpose of the Study:

    • To develop a robust CS undersampling trajectory design for DCE-MRI.
    • To enhance the accuracy and reliability of kinetic parameter estimation.
    • To overcome limitations associated with traditional VD schemes in DCE-MRI.

    Main Methods:

    • A novel undersampling trajectory design was developed by adaptively segmenting k-space into low- and high-frequency domains.
    • The variable density (VD) scheme was applied exclusively to the high-frequency domain.
    • The proposed method was evaluated for robustness against changes in Probability Density Function (PDF) parameters and inherent randomness.

    Main Results:

    • The novel undersampling trajectory demonstrated high accuracy in kinetic parameter estimation.
    • The proposed method showed superior robustness compared to the traditional VD design, even with fixed PDF parameters.
    • Simulation results confirmed the effectiveness of the adaptive k-space segmentation strategy.

    Conclusions:

    • The developed undersampling trajectory design offers a more accurate and robust approach for DCE-MRI.
    • This method addresses the limitations of traditional VD schemes, making it suitable for demanding DCE-MRI applications.
    • The findings suggest a significant advancement in quantitative imaging for tumor characterization.