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enh: move BIDS' spec references below the section's title
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Co-authored-by: Mathias Goncalves <[email protected]>
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oesteban and mgxd committed Oct 27, 2021
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Expand Up @@ -56,18 +56,29 @@ we obtain the nonzero component of the associated displacements field

Direct B0 mapping sequences
~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. admonition:: BIDS Specification

See `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-3-direct-field-mapping>`__.

Some MR schemes such as :abbr:`SEI (spiral-echo imaging)` can directly
reconstruct an estimate of *the fieldmap in Hz*, :math:`V(i,j,k)`.
These *fieldmaps* are described with more detail `here
<https://cni.stanford.edu/wiki/GE_Processing#Fieldmaps>`__.

This corresponds to `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-3-direct-field-mapping>`__.

.. _sdc_phasediff :

Phase-difference B0 estimation
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. admonition:: BIDS Specification

See `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-2-two-phase-maps-and-two-magnitude-images>`__.

Some scanners produce one ``phasediff`` map, where the drift between the two echos has
already been calculated, see `the corresponding section of BIDS
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-1-phase-difference-map-and-at-least-one-magnitude-image>`__.

The fieldmap variation in T, :math:`\Delta B_0 (i, j, k)`, that is necessary to obtain
:math:`\Delta_\text{PE} (i, j, k)` in Eq. :math:`\eqref{eq:fieldmap-1}` can be
calculated from two subsequient :abbr:`GRE (Gradient-Recalled Echo)` echoes,
Expand Down Expand Up @@ -97,23 +108,20 @@ the range :math:`[0 \dotsb 2\pi )`.
It is necessary to find the integer number of offsets that make a region
continuously smooth with its neighbors (*phase-unwrapping*, [Jenkinson2003]_).

This corresponds to `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-2-two-phase-maps-and-two-magnitude-images>`__.
Some scanners produce one ``phasediff`` map, where the drift between the two echos has
already been calculated (see `the corresponding section of BIDS
<https://bids-specification.readthedocs.io/en/latest/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-1-phase-difference-map-and-at-least-one-magnitude-image>`__).

.. _sdc_pepolar :

:abbr:`PEPOLAR (Phase Encoding POLARity)` techniques
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. admonition:: BIDS Specification

See `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/stable/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-4-multiple-phase-encoded-directions-pepolar>`__.

Alternatively, it is possible to estimate the field by exploiting the symmetry of the
distortion when the PE polarity is reversed.
*SDCFlows* integrates two implementations based on FSL ``topup`` [Andersson2003]_,
and AFNI ``3dQwarp`` [Cox1997]_.

This corresponds to `this section of the BIDS specification
<https://bids-specification.readthedocs.io/en/stable/04-modality-specific-files/01-magnetic-resonance-imaging-data.html#case-4-multiple-phase-encoded-directions-pepolar>`__.
By default, FSL ``topup`` will be used.

.. _sdc_fieldmapless :

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