Publication

Spatially Regularized Super-Resolved Constrained Spherical Deconvolution (SR2-CSD) of diffusion MRI data

Jean-Philippe Thiran
2024

Abstract

Motivation: Constrained Spherical Deconvolution (CSD) is a state-of-the-art method for estimating the fiber orientation distribution function (fODF) in white matter from diffusion MRI data. However, CSD faces limitations in resolving fiber crossings with small inter-fiber angles when using low spherical harmonic order and produces noisy fODFs when using high order. Goal(s): This study aims to improve the stability and angular resolution of fODFs from CSD. Approach: We extend the CSD estimation framework by including a spatial regularization term that promotes fiber continuity, using a J-invariant auto-calibrated total variation denoiser. Results: The proposed method enhances fiber crossing estimation and reduces spurious fibers. Impact: The improved stability of the proposed method enables the utilization of higher spherical harmonic orders, with a superior ability to solve complex fiber crossings. This work has the potential to increase the accuracy of fiber-tracking algorithms and brain connectivity estimations.

Official source

https://infoscience.epfl.ch/entities/publication/435a8b27-7032-4486-8c29-e863c70f42dc

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Jean-Philippe Thiran
2024

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/435a8b27-7032-4486-8c29-e863c70f42dc

About this result

Related concepts (19)

Composite material

A composite material (also called a composition material or shortened to composite, which is the common name) is a material which is produced from two or more constituent materials. These constituent materials have notably dissimilar chemical or physical properties and are merged to create a material with properties unlike the individual elements. Within the finished structure, the individual elements remain separate and distinct, distinguishing composites from mixtures and solid solutions.

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In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields. Since the spherical harmonics form a complete set of orthogonal functions and thus an orthonormal basis, each function defined on the surface of a sphere can be written as a sum of these spherical harmonics. This is similar to periodic functions defined on a circle that can be expressed as a sum of circular functions (sines and cosines) via Fourier series.

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Related publications (1)

Spatially Regularized Super-Resolved Constrained Spherical Deconvolution (SR2-CSD) of diffusion MRI data

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Spatially regularized super-resolved constrained spherical deconvolution (SR2-CSD) of diffusion MRI data