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Related Experiment Video

Updated: Jun 1, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

A reproducing kernel hilbert space approach for q-ball imaging.

Enrico Kaden1, Frithjof Kruggel

  • 1Department of Computer Science, University of Leipzig,Germany. enrico.kaden@gmail.com

IEEE Transactions on Medical Imaging
|May 26, 2011
PubMed
Summary

This study introduces a novel Funk-Radon transform method for enhanced white matter imaging using diffusion MR imaging. The approach improves the analysis of complex fiber architectures in the brain.

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Area of Science:

  • Neuroimaging
  • Diffusion Magnetic Resonance Imaging
  • Computational Neuroscience

Background:

  • Diffusion MR imaging visualizes white matter architecture in vivo.
  • Q-ball imaging is a common technique for resolving intra-voxel fiber orientation heterogeneity.
  • Existing methods often assume bandlimited diffusion signals, limiting their applicability.

Purpose of the Study:

  • To propose a generalized approach for white matter tractography using the Funk-Radon transform.
  • To address limitations of current Q-ball imaging techniques.
  • To enhance the recovery of orientational heterogeneity in white matter fiber architecture.

Main Methods:

  • Employing the Funk-Radon transform in a Hilbert space with a reproducing kernel.
  • Utilizing the spherical Laplace-Beltrami operator for kernel derivation.

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Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope
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Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope

Published on: April 7, 2014

Related Experiment Videos

Last Updated: Jun 1, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope
14:09

Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope

Published on: April 7, 2014

  • Solving the function estimation problem via Tikhonov regularization.
  • Applying a Gaussian process model for parameter selection and confidence band specification.

    • Main Results:

    • The proposed method generalizes previous approaches by not assuming bandlimited diffusion signals.
    • Tikhonov regularization provides a framework for function estimation.
    • Gaussian processes enable robust smoothing parameter selection and confidence interval generation.
    • Discussion of the limitations of current Q-ball imaging techniques is included.

    Conclusions:

    • The Funk-Radon transform offers a powerful, generalized framework for diffusion MR imaging analysis.
    • This method enhances the characterization of complex white matter microstructures.
    • The study provides a more robust approach to mapping brain white matter geometry.