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Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
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Updated: Jun 9, 2026

Harmonic Nanoparticles for Regenerative Research
09:23

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Coherence regularization for SENSE reconstruction with a nonlocal operator (CORNOL).

Sheng Fang1, Kui Ying, Li Zhao

  • 1Department of Engineering Physics, Tsinghua University, Beijing, People's Republic of China.

Magnetic Resonance in Medicine
|September 1, 2010
PubMed
Summary
This summary is machine-generated.

Coherence regularization enhances parallel imaging reconstruction by preserving image structures. This novel method reduces noise in sensitivity encoding (SENSE) without significant image degradation, outperforming traditional techniques.

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Last Updated: Jun 9, 2026

Harmonic Nanoparticles for Regenerative Research
09:23

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Area of Science:

  • Medical Imaging
  • Image Reconstruction
  • Regularization Techniques

Background:

  • Sensitivity encoding (SENSE) reconstruction in parallel imaging is prone to noise amplification at high reduction factors.
  • Existing regularization methods often introduce interstructure smoothness, leading to loss of image details and structure degradation.

Purpose of the Study:

  • To introduce coherence regularization for SENSE reconstruction.
  • To enhance image structure preservation during noise suppression in parallel imaging.

Main Methods:

  • Developed an energy functional for coherence regularization based on adaptive image filtering and diffusion equations.
  • Utilized a nonlocal operator from nonlocal mean filtering for structure detection.
  • Applied the method to penalize only intrastructure intensity changes, preserving interstructure changes.

Main Results:

  • Coherence regularization effectively suppresses noise in SENSE reconstruction, particularly at high reduction factors.
  • Demonstrated significantly less image degradation compared to Tikhonov and total variation methods.
  • Phantom and in vivo experiments validated the method's performance.

Conclusions:

  • Coherence regularization is a promising technique for improving the quality of parallel imaging reconstruction.
  • It offers superior noise reduction while preserving critical image structures.
  • This method advances the field of medical image reconstruction by minimizing artifacts.