I was curious to know what the difference between MPRAGE & MPRAGE-DIST, and here’s a synopsis of my learning…
Inhomogeneity depends on the subject’s anatomy, the orientation of that anatomy with respect to the B0 field, as well as several other factors such as the scan-dependent magnetic shim settings. This generally means that inhomogeneity is not known in advance, and should be measured (“field mapping”) at each scan session in order to construct an accurate forward model of the distortion process (Chambers et al., 2015).
There are numerous ways to complete beta inhomogenity correction for EPI images (if fieldmaps are not available). In all circumstances though, it seems most efficient to use one’s field maps collected durring that session, if available.
1. Bias Correction /MPRAGE
This should not be completed on MPRAGE post-hoc, as it results in over correction (?) \(\dagger\)
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
fsl_biascorrect(file = "SAGT1MPRAGEDistCorND.nii.gz",
outfile = "ND_SAGT1MPRAGEDistCor_BiasCorrect", #User defines outfile name
opts = "-v")
1a. Voxel-Intensity Distributions: /MPRAGE
x-axis is voxel intensity
y-axis is distribution for 1 slice
each line represents a slice (2,6,10,14,18) respectivly

1b. Contrast Map: Results of inhomogenity correction of /MPRAGE
sub.bias <- niftiarr(nim, nim-fast_img)
# quantile the difference image using these as breaks
q=quantile(sub.bias[sub.bias !=0],probs = seq(0,1,by=0.1))
# get a diverging gradient palette
fcol=div_gradient_pal(low="blue",mid="yellow",high ="red")
ortho2(nim,sub.bias,col.y = alpha(fcol(seq(0,1, length=10)),
0.5), ybreaks = q, ycolorbar=TRUE, text = paste0("Original
Image Minus N4", "\n Bias-Corrected Image"))

2. Bias Correction /MPRAGE-DIST
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
fsl_biascorrect(file = "SAGT1MPRAGEDistCor.nii.gz",
outfile = "SAGT1MPRAGEDistCor_BiasCorrect",
opts = "-v")
2a. Voxel-Intensity Distributions: /MPRRAGE-DIST
The code for plotting:

2b. Contrast Map: Results of inhomogenity correction of /MPRAGE-DIST

---
title: "R Notebook"
output: html_notebook
---

```{r setup, include=FALSE, echo=TRUE}
library(dcm2niir)
library(oro.dicom)
library(oro.nifti)
library(fslr)
library(ggplot2)
library(reshape2)
library(scales)
knitr::opts_chunk$set(echo = TRUE)
```
I was curious to know what the difference between MPRAGE & MPRAGE-DIST, and here's a synopsis of my learning...

Inhomogeneity depends on the subject’s anatomy, the orientation of that anatomy with respect to the B0 field, as well as several other factors such as the scan-dependent magnetic shim settings. This generally means that inhomogeneity is not known in advance, and should be measured (“field mapping”) at each scan session in order to construct an accurate *forward* model of the distortion process (Chambers et al., 2015).

There are numerous ways to complete beta inhomogenity correction for EPI images (if fieldmaps are not available). In all circumstances though, it seems most efficient to use one's field maps collected durring that session, if available. 

* The post-hoc fsl method that I reviewed can be found here: 
     https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4662423/

    * They register the distorted fMRI to a T1-weighted image, as it has high in tissue contrast and provides mutual information about inhomogenity (if there is not alot of motion between MPRAGE and resting state aquistions). 
    
    * Here are their results: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4662423/figure/F1/


     * MPRAGE distortion correction is automatically programmed into our default pipeline,       because, really there is no better alternative. As stated above, the process seems to be modeled *forward* into MPRAGE reconstruction.

    * #####Output from dcm2niix:######
        * /MPRAGE == MPRAGEDistCorrND
        * /MPRAGE-DIST == MPRAGEDistCorr

<br/>
<br/>
```{r NO RUN1: dcm2niix Output MPRAGE_DistCorND, include=FALSE, eval=FALSE}
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
subdir<-list.dirs(subdir)
DCM <- readDICOM(subdir[2], verbose=TRUE)
seriesInstanceUID <- extractHeader(DCM$hdr, "SeriesInstanceUID", FALSE)
for (uid in unique(seriesInstanceUID)) {
  index <- which(unlist(lapply(DCM$hdr, function(x) uid %in% x$value)))
  uid.dcm <- list(hdr=DCM$hdr[index], img=DCM$img[index])
  seriesDescription <- extractHeader(uid.dcm$hdr, "SeriesDescription", FALSE)
 fname <- paste(gsub("[^0-9A-Za-z]", "",
   unique(c( seriesDescription ))),
 collapse="_")
  cat("##", fname, fill=TRUE)
  if (gsub("[^0-9A-Za-z]", "", unique(seriesDescription)) == "axtensor") {
    D <- 4
    reslice<- FALSE
  }else{
    D <- 3
    reslice<- TRUE
    
  }
  uid.nifti<-dicom2nifti(uid.dcm, DIM=D, reslice=reslice,
                         descrip=c("SeriesDescription"))
  setwd(subdir)
  writeNIfTI(uid.nifti ,fname, gzipped = TRUE, verbose = TRUE)
}
### Output is SAGT1MPRAGEDistCorND.nii.gz ###
```
<br/>
<br/>

#### 1. Bias Correction /MPRAGE
##### This should not be completed on MPRAGE post-hoc, as it results in over correction (?) $\dagger$
```{r NORUN2: BIAS Correct /MPRAGE , eval=FALSE, echo=TRUE}
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
fsl_biascorrect(file = "SAGT1MPRAGEDistCorND.nii.gz",
                outfile = "ND_SAGT1MPRAGEDistCor_BiasCorrect", #User defines outfile name
                opts = "-v")

```
<br/>

#### 1a. Voxel-Intensity Distributions: /MPRAGE 
  *x-axis is voxel intensity  
  *y-axis is distribution for 1 slice  
  each line represents a slice (2,6,10,14,18) respectivly  
```{r VIT-1, echo=FALSE, echo=FALSE}
nim=readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCorND.nii.gz", reorient=FALSE) 
fast_img =readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/ND_SAGT1MPRAGEDistCor_BiasCorrect.nii.gz", reorient=FALSE) 
slices = c(2, 6, 10, 14, 18)
vals = lapply(slices, function(x) {
  cbind(img = c(nim[,,x]), fast = c(fast_img[,,x]),
        slice = x)
})
vals = do.call("rbind", vals)
vals = data.frame(vals)
vals = vals[ vals$img > 0 & vals$fast > 0, ]
colnames(vals)[1:2] = c("SAGT1MPRAGEDistCorND", "Bias-Corrected Value")
v = melt(vals, id.vars = "slice")
g = ggplot(aes(x = value, colour = factor(slice)), data = v) + geom_line(stat = "density") + facet_wrap(~ variable)
g = g + scale_colour_discrete(name = "Slice #") 
print(g)
```
<br/>

#### 1b. Contrast Map: Results of inhomogenity correction of /MPRAGE 
```{r  Contrast Map1: ND Bias Correction, echo=TRUE, eval=TRUE}
sub.bias <- niftiarr(nim, nim-fast_img)
# quantile the difference image using these as breaks
q=quantile(sub.bias[sub.bias !=0],probs = seq(0,1,by=0.1))
# get a diverging gradient palette
fcol=div_gradient_pal(low="blue",mid="yellow",high ="red")
ortho2(nim,sub.bias,col.y = alpha(fcol(seq(0,1, length=10)),
                                  0.5), ybreaks = q, ycolorbar=TRUE, text = paste0("SAGT1MPRAGEDistCorND
 Minus N4", "\n Bias-Corrected Image")) 
```

```{r 2. MPRAGE-DIST_2_NIIX, include=FALSE, eval=FALSE}
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
subdir<-list.dirs(subdir)
DCM <- readDICOM(subdir[3], verbose=TRUE)
seriesInstanceUID <- extractHeader(DCM$hdr, "SeriesInstanceUID", FALSE)
for (uid in unique(seriesInstanceUID)) {
  index <- which(unlist(lapply(DCM$hdr, function(x) uid %in% x$value)))
  uid.dcm <- list(hdr=DCM$hdr[index], img=DCM$img[index])
  seriesDescription <- extractHeader(uid.dcm$hdr, "SeriesDescription", FALSE)
 fname <- paste(gsub("[^0-9A-Za-z]", "",
   unique(c( seriesDescription ))),
 collapse="_")
  cat("##", fname, fill=TRUE)
  if (gsub("[^0-9A-Za-z]", "", unique(seriesDescription)) == "axtensor") {
    D <- 4
    reslice<- FALSE
  }else{
    D <- 3
    reslice<- TRUE
    
  }
  uid.nifti<-dicom2nifti(uid.dcm, DIM=D, reslice=reslice,
                         descrip=c("SeriesDescription"))
  setwd(subdir)
  writeNIfTI(uid.nifti ,fname, gzipped = TRUE, verbose = TRUE)
}

### output is MPRAGEDistCor ###

```

<br/>
<br/>

#### 2. Bias Correction /MPRAGE-DIST  
```{r BIAS Correct MPRAGE-DIST,echo=TRUE, eval=FALSE}
subdir="~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1"
setwd(subdir)
fsl_biascorrect(file = "SAGT1MPRAGEDistCor.nii.gz",
                outfile = "SAGT1MPRAGEDistCor_BiasCorrect", 
                opts = "-v")
```
<br/>

#### 2a. Voxel-Intensity Distributions: /MPRRAGE-DIST 
The code for plotting:
```{r VIT MPRAGE-DIST (double correction), eval=TRUE, echo=FALSE, message=FALSE, warning=FALSE}
nim=readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCor.nii.gz", reorient=FALSE) 
fast_img =readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCor_BiasCorrect.nii.gz", reorient=FALSE) 

slices = c(2, 6, 10, 14, 18)    #Choose slice array and concat. voxel intens. vals.
vals = lapply(slices, function(x) {
  cbind(img = c(nim[,,x]), fast = c(fast_img[,,x]),
        slice = x)
})
vals = do.call("rbind", vals)
vals = data.frame(vals)
vals = vals[ vals$img > 0 & vals$fast > 0, ] #Remove zero intensity voxels
colnames(vals)[1:2] = c("SAGT1MPRAGEDistCor", "Bias-Corrected Value")
v = melt(vals, id.vars = "slice") #Reshape to long form
g = ggplot(aes(x = value, colour = factor(slice)), data = v) + geom_line(stat = "density") + facet_wrap(~ variable) #Plot
g = g + scale_colour_discrete(name = "Slice #")   #Add color to slice arrays
print(g)
```
<br/>

#### 2b. Contrast Map: Results of inhomogenity correction of /MPRAGE-DIST 
```{r Contrast Map MPRAGEDistCor, eval=TRUE, echo=FALSE, message=FALSE, warning=FALSE, echo=FALSE}
sub.bias <- niftiarr(nim, nim-fast_img)
# quantile the difference image using these as breaks
q=quantile(sub.bias[sub.bias !=0],probs = seq(0,1,by=0.1))
# get a diverging gradient palette
fcol=div_gradient_pal(low="blue",mid="yellow",high ="red")
ortho2(nim,sub.bias,col.y = alpha(fcol(seq(0,1, length=10)),
                                  0.5), ybreaks = q, ycolorbar=TRUE, text = paste0("Original
Image Minus N4", "\n Bias-Corrected Image")) 

```

<br/>
<br/>

### Contrast Map 3: Results of inhomegentity correction built into DICOM data structure  
##### Note the central areas of grey scale are overlapping sources of distortion-correction due to perturbed K-Space.  This is essentially like plotting the residuals in a linear regression model (?)  $\dagger$ 

* http://mriquestions.com/what-is-k-space.html

```{r MPRAGE minus MPRAGE-DIST, eval=TRUE, echo=FALSE, message=FALSE, warning=FALSE}

nim=readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCor.nii.gz", reorient=FALSE) 
fast_img =readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCorND.nii.gz", reorient=FALSE) 
sub.bias <- niftiarr(nim, nim-fast_img)
# quantile the difference image using these as breaks
q=quantile(sub.bias[sub.bias !=0],probs = seq(0,1,by=0.1))
# get a diverging gradient palette
fcol=div_gradient_pal(low="blue",mid="yellow",high ="red")
ortho2(nim,sub.bias,col.y = alpha(fcol(seq(0,1, length=10)),
                                  0.5), ybreaks = q, ycolorbar=TRUE, text = paste0("Original
Image Minus N4", "\n Bias-Corrected Image")) 

slices = c(2, 6, 10, 14, 18)
vals = lapply(slices, function(x) {
  cbind(img = c(nim[,,x]), fast = c(fast_img[,,x]),
        slice = x)
})
vals = do.call("rbind", vals)
vals = data.frame(vals)
vals = vals[ vals$img > 0 & vals$fast > 0, ]
colnames(vals)[1:2] = c("SAGT1MPRAGEDistCorND Value", "SAGT1MPRAGEDistCor Value")
v = melt(vals, id.vars = "slice")
g = ggplot(aes(x = value, colour = factor(slice)), data = v) + geom_line(stat = "density") + facet_wrap(~ variable)
g = g + scale_colour_discrete(name = "Slice #") 
print(g)
```
<br/>
<br/>
<br/>


#### Commparison 4: MPRAGE(ND) minus Bias Corrected MPRAGE-DIST. 
##### Example results of over-correction  (?) or application of dist. correction field?
##### One notable observation is the voxel-intensity distr. plot is identical to 2a.
```{r MPRAGE vs. Bias-corrected MPRAGE-DIST (over-correction), eval=TRUE, warning=FALSE, echo=FALSE, message=FALSE}
nim=readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCorND.nii.gz", reorient=FALSE) 
fast_img =readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCor_BiasCorrect.nii.gz", reorient=FALSE) 
slices = c(2, 6, 10, 14, 18)
vals = lapply(slices, function(x) {
  cbind(img = c(nim[,,x]), fast = c(fast_img[,,x]),
        slice = x)
})
vals = do.call("rbind", vals)
vals = data.frame(vals)
vals = vals[ vals$img > 0 & vals$fast > 0, ]
colnames(vals)[1:2] = c("SAGT1MPRAGEDistCorND", "SAGT1MPRAGEDistCor_BiasCorrect")
v = melt(vals, id.vars = "slice")
g = ggplot(aes(x = value, colour = factor(slice)), data = v) + geom_line(stat = "density") + facet_wrap(~ variable)
g = g + scale_colour_discrete(name = "Slice #") 
print(g)
```




```{r MPRAGE minus Bias-corrected MPRAGE-DIST (over-correction),eval=TRUE, warning=FALSE, echo=FALSE, message=FALSE}
nim=readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCorND.nii.gz", reorient=FALSE) 
fast_img =readNIfTI("~/DATA/EPIC_SCRIPT/Dicom/7089/7089_1/SAGT1MPRAGEDistCor_BiasCorrect.nii.gz", reorient=FALSE) 
sub.bias <- niftiarr(nim, nim-fast_img)
# quantile the difference image using these as breaks
q=quantile(sub.bias[sub.bias !=0],probs = seq(0,1,by=0.1))
# get a diverging gradient palette
fcol=div_gradient_pal(low="blue",mid="yellow",high ="red")
ortho2(nim,sub.bias,col.y = alpha(fcol(seq(0,1, length=10)),
                                  0.5), ybreaks = q, ycolorbar=TRUE, text = paste0("Original
Image Minus N4", "\n Bias-Corrected Image")) 
```







