From 0e9b70f810811832f8eec858cb6a9fa1e216c37b Mon Sep 17 00:00:00 2001 From: Oscar Esteban Date: Fri, 9 Apr 2021 19:30:55 +0200 Subject: [PATCH 1/5] ENH: Developing the diffusion modelling materials --- docs/head-motion/models.md | 159 ++++++++++++++++++++++++++++++++++++- 1 file changed, 158 insertions(+), 1 deletion(-) diff --git a/docs/head-motion/models.md b/docs/head-motion/models.md index a39bd8e..f95b547 100644 --- a/docs/head-motion/models.md +++ b/docs/head-motion/models.md @@ -1 +1,158 @@ -# Diffusion modelling \ No newline at end of file +--- +jupytext: + formats: md:myst + text_representation: + extension: .md + format_name: myst +kernelspec: + display_name: Python 3 + language: python + name: python3 +--- + +# Diffusion modelling + +The proposed method requires inferring a motion-less, reference DW map for a given diffusion orientation for which we want to estimate the misalignment. +Inference of the reference map is achieved by first fitting some diffusion model (which we will draw from [DIPY](https://dipy.org)) using all data, except the particular DW map that is to be aligned. + +All models are required to offer the same API (application programmer interface): + +1. The initialization takes a gradient table as first argument, and then arbitrary parameters as keyword arguments. +2. A `fit(data)` method, which only requires a positional argument `data`. +3. A `predict(gradient)` method, which only requires a `gradient` entry (b-vector and b-value). + +```{code-cell} python +:tags: [hide-cell] + +from eddymotion.dmri import DWI +from eddymotion.viz import plot_dwi +dmri_dataset = DWI.from_filename("../../data/dwi.h5") +``` + +## Implementing a trivial model + +We will first start implementing a *trivial* model. +This model will always return the reference *b=0* map, regardless of the particular diffusion orientation model. +In other words, it is just a ***constant*** model. + +Its simplicity does not diminish its great usefulness. +First, when coding it is very important to build up iteratively in complexity. +This model will allow to easily test the overal integration of the different components of our head-motion estimation algorithm. +Also, this model will allow a very straightforward implementation of registration to the *b=0* reference, which is commonly used to initialize the head-motion estimation parameters. + +```{code-cell} python +class TrivialB0Model: + """ + A trivial model that returns a *b=0* map always. + Implements the interface of :obj:`dipy.reconst.base.ReconstModel`. + Instead of inheriting from the abstract base, this implementation + follows type adaptation principles, as it is easier to maintain + and to read (see https://www.youtube.com/watch?v=3MNVP9-hglc). + """ + + __slots__ = ("_S0",) + + def __init__(self, gtab, S0=None, **kwargs): + """Implement object initialization.""" + if S0 is None: + raise ValueError("S0 must be provided") + + self._S0 = S0 + + def fit(self, *args, **kwargs): + """Do nothing.""" + + def predict(self, gradient, **kwargs): + """Return the *b=0* map.""" + return self._S0 +``` + + + +The model can easily be initalized as follows (assuming we still have our dataset loaded): +```{code-cell} python +model = TrivialB0Model( + dmri_dataset.gradients, + S0=dmri_dataset.bzero +) +``` + +Then, at each iteration of our estimation strategy, we will fit this model (which does nothing) to the diffusion weighted data after holding one particular direction (`data_test`) out: + +```{code-cell} python +data_train, data_test = dmri_dataset.logo_split(10) +model.fit(data_train[0]) +``` + +Finally, we can generate our registration reference with the `predict()` method: + +```{code-cell} python +predicted = model.predict(data_test[1]) +plot_dwi(predicted, dmri_dataset.affine, gradient=data_test[1]); +``` + +As expected, the *b=0* doesn't look very much like the particular left-out direction, but it is a start! +```{code-cell} python +plot_dwi(data_test[0], dmri_dataset.affine, gradient=data_test[1]); +``` + +## Implementing a *regression to the mean* model + +**Exercise**: Extend the `TrivialB0Model` to produce an average of *all other* diffusion directions, instead of the *b=0*. + +```{code-cell} python +class AverageDWModel: + """A trivial model that returns an average map.""" + + __slots__ = ("_data",) + + def __init__(self, gtab, **kwargs): + """Implement object initialization.""" + return # do nothing at initalization time + + def fit(self, data, **kwargs): + """Calculate the average.""" + # self._data = # Use numpy to calculate the average. + + def predict(self, gradient, **kwargs): + """Return the average map.""" + return self._data +``` + +**Solution** +```{code-cell} python +:tags: [hide-cell] + +class AverageDWModel: + """A trivial model that returns an average map.""" + + __slots__ = ("_data",) + + def __init__(self, gtab, **kwargs): + """Implement object initialization.""" + return # do nothing at initalization time + + def fit(self, data, **kwargs): + """Calculate the average.""" + self._data = data.mean(-1) + + def predict(self, gradient, **kwargs): + """Return the average map.""" + return self._data +``` + +**Exercise**: Use the new `AverageDWModel` you just created. +**Solution** +```{code-cell} python +:tags: [hide-cell] + +model = AverageDWModel( + dmri_dataset.gradients, +) +model.fit(data_train[0]) +predicted = model.predict(data_test[1]) +plot_dwi(predicted, dmri_dataset.affine, gradient=data_test[1]); +plot_dwi(data_test[0], dmri_dataset.affine, gradient=data_test[1]); +``` + +## Investigating the tensor model From 6a3cad76cb9fdb3f1cb45e91ae94ca15b5fd1d0b Mon Sep 17 00:00:00 2001 From: Oscar Esteban Date: Fri, 9 Apr 2021 22:12:09 +0200 Subject: [PATCH 2/5] enh: minimize example data --- data/dwi.h5 | Bin 7175486 -> 6385189 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/data/dwi.h5 b/data/dwi.h5 index 2304f0b9f6be54cf943505c3c47fe52b8fd5c1e1..c8f7c5a07c04c195ebc98505fcd4ebbb9deb3e1c 100644 GIT binary patch literal 6385189 zcmeFYd010Pw>PTNfGx_P3@Qi$jY1GmX+&fmV}l4W3COG{f=oeX!qf-|1Q0=xmf1w6 zFb{$tLqiiAVgp8rf!#nl-JN+N$_*(INryg;|&~O)M$?l(B?mXW08`syXz3htb<^NFWUn;-6NK6aFNyKeuk(>wj_1=o9bSvYz7+(vnR>Er9rzK)bl&o2LC zMQwNZpMSeSuiI_EU3ct?Uw26UyLI>A$k&F)ciMk1{?C%Yx9g6*zI1l>W41JIUiZC@ za&+Bw{noA9o=&@VIij7sQQ)Do_w}2%ojiSgb{ewvSC&oq4<-DvnZa(L!8=Q3SO3m= 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