@@ -6,7 +6,8 @@ the problem of susceptibility distortions (SD) into two stages:
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#. **Estimation **:
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the MRI acquisitions in the protocol for :abbr: `SD ( susceptibility distortions ) ` are
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discovered and preprocessed to estimate a map of B\ :sub: `0` non-uniformity in Hz (:math: `\Delta B_0 `).
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- The theory behind these distortions is well described in the literature [Jezzard1995 ]_ [Hutton2002 ]_ (Fig. 1).
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+ The theory behind these distortions is well described in the literature ([Jezzard1995 ]_, [Hutton2002 ]_),
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+ and further discussed below (see a summary in :numref: `fig-1 `).
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*SDCFlows * builds on freely-available software to implement three major strategies for estimating
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:math: `\Delta B_0 ` (Eq. :math: `\eqref {eq:fieldmap-1 }`).
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These strategies are described below, and implemented within :py:mod: `sdcflows.workflows.fit `\ .
@@ -16,14 +17,16 @@ the problem of susceptibility distortions (SD) into two stages:
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target :abbr: `EPI ( echo-planar imaging ) ` scan to be corrected, and a displacement field in NIfTI
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format that is compatible with ANTs is interpolated from the B-Spline basis.
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The voxel location error along the :abbr: `PE ( phase-encoding ) ` will be proportional to :math: `\Delta B_0 \cdot T_\text {ro}`,
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- where :math: `T_\text {ro}` is the *total readout time * of the target :abbr: `EPI ( echo-planar imaging ) ` (Fig. 1 ).
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+ where :math: `T_\text {ro}` is the *total readout time * of the target :abbr: `EPI ( echo-planar imaging ) ` (:numref: ` fig-1 ` ).
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The implementation of these workflows is found in the submodule :py:mod: `sdcflows.workflows.apply `\ .
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+ .. _fig-1 :
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+
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.. figure :: _static/sdcflows-OHBM21-fig1.png
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:width: 100%
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:align: center
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- ** Figure 1 **. Susceptibility distortions in a nutshell
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+ Susceptibility distortions in a nutshell
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.. admonition :: BIDS Specification
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@@ -93,7 +96,7 @@ Phase-difference B0 estimation
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The fieldmap variation in T, :math: `\Delta B_0 (i, j, k)`, that is necessary to obtain
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:math: `\Delta _\text {PE} (i, j, k)` in Eq. :math: `\eqref {eq:fieldmap-1 }` can be
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calculated from two subsequent :abbr: `GRE ( Gradient-Recalled Echo ) ` echoes,
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- via eq . (1) of [Hutton2002 ]_:
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+ via Eq . (1) of [Hutton2002 ]_:
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.. math ::
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