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fs_mgh.rs
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//! Functions for managing FreeSurfer brain volumes or other 3D or 4D data in binary 'MGH' files.
use flate2::bufread::GzDecoder;
use flate2::Compression;
use byteordered::{ByteOrdered, Endianness};
use ndarray::{Array, Array1, Array2, Array4, Dim, array};
use std::{fs::File};
use std::io::{BufReader, BufRead, BufWriter, Write};
use std::path::{Path};
use std::fmt;
use crate::error::{NeuroformatsError, Result};
const MGH_VERSION_CODE: i32 = 1;
/// FreeSurfer MRI data type for `u8`, used in the `dtype` field of [`FsMghHeader`].
pub const MRI_UCHAR : i32 = 0;
/// FreeSurfer MRI data type for `i32`, used in the `dtype` field of [`FsMghHeader`].
pub const MRI_INT : i32 = 1;
/// FreeSurfer MRI data type for `f32`, used in the `dtype` field of [`FsMghHeader`].
pub const MRI_FLOAT : i32 = 3;
/// FreeSurfer MRI data type for `i16`, used in the `dtype` field of [`FsMghHeader`].
pub const MRI_SHORT : i32 = 4;
const MGH_DATA_START : i32 = 284; // The index in bytes where the data part starts in an MGH file.
/// Models the header of a FreeSurfer MGH file.
#[derive(Debug, Clone, PartialEq)]
pub struct FsMghHeader {
pub mgh_format_version: i32,
pub dim1len: i32,
pub dim2len: i32,
pub dim3len: i32,
pub dim4len: i32, // aka "num_frames", this typically is the time dimension.
pub dtype: i32,
pub dof: i32,
pub is_ras_good: i16,
pub delta: [f32; 3],
pub mdc_raw: [f32; 9],
pub p_xyz_c: [f32; 3],
}
/// Models the data part of a FreeSurfer MGH file.
#[derive(Debug, Clone, PartialEq)]
pub struct FsMghData {
pub mri_uchar: Option<Array4<u8>>,
pub mri_float: Option<Array4<f32>>,
pub mri_int: Option<Array4<i32>>,
pub mri_short: Option<Array4<i16>>,
}
/// Models a FreeSurfer MGH file.
#[derive(Debug, Clone, PartialEq)]
pub struct FsMgh {
pub header: FsMghHeader,
pub data: FsMghData
}
impl Default for FsMghHeader {
fn default() -> FsMghHeader {
FsMghHeader {
mgh_format_version: 1 as i32,
dim1len: 0 as i32,
dim2len: 0 as i32,
dim3len: 0 as i32,
dim4len: 0 as i32,
dtype: MRI_INT,
dof: 0 as i32,
is_ras_good: 0 as i16,
delta: [0.; 3],
mdc_raw: [0.; 9],
p_xyz_c: [0.; 3],
}
}
}
/// The header of an MGH/MGZ file.
impl FsMghHeader {
/// Read an MGH header from a file.
pub fn from_file<P: AsRef<Path>>(path: P) -> Result<FsMghHeader> {
let gz = is_mgz_file(&path);
let mut file = BufReader::new(File::open(path)?);
if gz {
FsMghHeader::from_reader(&mut BufReader::new(GzDecoder::new(file)))
} else {
FsMghHeader::from_reader(&mut file)
}
}
/// Read an MGH header from the given byte stream.
/// It is assumed that the input is currently at the start of the
/// header.
pub fn from_reader<S>(input: &mut S) -> Result<FsMghHeader> where S: BufRead,
{
let mut hdr = FsMghHeader::default();
let mut input = ByteOrdered::be(input);
hdr.mgh_format_version = input.read_i32()?;
if hdr.mgh_format_version != MGH_VERSION_CODE {
return Err(NeuroformatsError::InvalidFsMghFormat);
}
hdr.dim1len = input.read_i32()?;
hdr.dim2len = input.read_i32()?;
hdr.dim3len = input.read_i32()?;
hdr.dim4len = input.read_i32()?;
hdr.dtype = input.read_i32()?;
hdr.dof = input.read_i32()?;
hdr.is_ras_good = input.read_i16()?;
hdr.delta = [f32::NAN; 3];
hdr.mdc_raw = [f32::NAN; 9];
hdr.p_xyz_c = [f32::NAN; 3];
if hdr.is_ras_good == 1 as i16 {
for idx in 0..3 { hdr.delta[idx] = input.read_f32()?; }
for idx in 0..9 { hdr.mdc_raw[idx] = input.read_f32()?; }
for idx in 0..3 { hdr.p_xyz_c[idx] = input.read_f32()?; }
}
Ok(hdr)
}
/// Get dimensions of the MGH data.
pub fn dim(&self) -> [usize; 4] {
[self.dim1len as usize, self.dim2len as usize, self.dim3len as usize, self.dim4len as usize]
}
/// Compute the vox2ras matrix from the RAS data in the header, if available.
///
/// The vox2ras matrix is a 4x4 f32 matrix. You can use it to find the RAS coordinates of a voxel
/// using matrix multiplication. One can inverse this matrix to obtain the ras2vox matrix.
///
/// # Examples
///
/// ```no_run
/// use ndarray::{Array1, array};
/// let mgh = neuroformats::read_mgh("/path/to/subjects_dir/subject1/mri/brain.mgz").unwrap();
/// let vox2ras = mgh.vox2ras().unwrap();
/// let my_voxel_ijk : Array1<f32> = array![32.0, 32.0, 32.0, 1.0]; // actually integers, but we use float for matrix multiplication. The final 1 is due to homegenous coords.
/// let my_voxel_ras = vox2ras.dot(&my_voxel_ijk);
/// ```
pub fn vox2ras(&self) -> Result<Array2<f32>> {
if self.is_ras_good != 1 as i16 {
return Err(NeuroformatsError::NoRasInformationInHeader);
}
// Create zero-matrix with voxel sizes along diagonal for scaling
let mut d : Array2<f32> = Array::zeros((3, 3));
d[[0, 0]] = self.delta[0]; // delta holds the voxel size in mm along the 3 dimensions (xsize, ysize, zsize)
d[[1, 1]] = self.delta[1];
d[[2, 2]] = self.delta[2];
let mdc_mat = Array2::from_shape_vec((3, 3), self.mdc_raw.to_vec()).unwrap();
let mdc_scaled : Array2<f32> = mdc_mat.dot(&d); // Scaled by the voxel dimensions (xsize, ysize, zsize). Note that this is actually transposed, we use .t() on this later when computing p_xyz_0.
// CRS indices of the center voxel (the CRS is also known as IJK sometimes). These are always integers, we convert to f32 here for later matrix multiplication.
let p_crs_c : Array1<f32> = array![(self.dim1len/2) as f32, (self.dim2len/2) as f32, (self.dim3len/2) as f32];
// The RAS coordinates (aka x,y,z) of the center.
let p_xyz_c : Array1<f32> = array![self.p_xyz_c[0], self.p_xyz_c[1], self.p_xyz_c[2]];
// The x,y,z location at CRS=0,0,0 (also known as P0 RAS or 'first voxel RAS').
let p_xyz_0 : Array1<f32> = p_xyz_c - (mdc_scaled.t().dot(&p_crs_c));
// Plug everything together into the 4x4 vox2ras matrix:
let mut m : Array2<f32> = Array::zeros((4, 4));
// Set upper left 3x3 matrix to mdc_scaled.
for i in 0..3 {
for j in 0..3 {
m[[i, j]] = mdc_scaled[[i, j]];
}
}
m[[3, 0]] = p_xyz_0[0]; // Set last column to p_xyz_0
m[[3, 1]] = p_xyz_0[1];
m[[3, 2]] = p_xyz_0[2];
m[[3, 3]] = 1.; // Set last row to affine 0, 0, 0, 1. (only the last 1 needs manipulation)
let v2r = m.t().into_owned();
Ok(v2r)
}
}
impl FsMgh {
/// Read an MGH or MGZ file.
pub fn from_file<P: AsRef<Path> + Copy>(path: P) -> Result<FsMgh> {
let hdr : FsMghHeader = FsMghHeader::from_file(path)?;
let gz = is_mgz_file(&path);
let mut file = BufReader::new(File::open(path)?);
let data =
if gz {
FsMgh::data_from_reader(&mut BufReader::new(GzDecoder::new(file)), &hdr)?
} else {
FsMgh::data_from_reader(&mut file, &hdr)?
};
let mgh = FsMgh {
header : hdr,
data : data,
};
Ok(mgh)
}
/// Read MGH data from a reader. It is assumed that position is before the header.
pub fn data_from_reader<S>(file: &mut S, hdr: &FsMghHeader) -> Result<FsMghData> where S: BufRead, {
let vol_dim = Dim([hdr.dim1len as usize, hdr.dim2len as usize, hdr.dim3len as usize, hdr.dim4len as usize]);
let mut file = ByteOrdered::be(file);
// Skip or read to end of header.
for _ in 1..=MGH_DATA_START {
let _discarded = file.read_u8()?;
}
let mut data_mri_uchar = None;
let mut data_mri_int = None;
let mut data_mri_float = None;
let mut data_mri_short = None;
let num_voxels : usize = (hdr.dim1len * hdr.dim2len * hdr.dim3len * hdr.dim4len) as usize;
if hdr.dtype == MRI_UCHAR {
let mut mgh_data : Vec<u8> = Vec::with_capacity(num_voxels);
for _ in 1..=num_voxels {
mgh_data.push(file.read_u8()?);
}
data_mri_uchar = Some(Array::from_shape_vec(vol_dim, mgh_data).unwrap());
} else if hdr.dtype == MRI_INT {
let mut mgh_data : Vec<i32> = Vec::with_capacity(num_voxels);
for _ in 1..=num_voxels {
mgh_data.push(file.read_i32()?);
}
data_mri_int = Some(Array::from_shape_vec(vol_dim, mgh_data).unwrap());
} else if hdr.dtype == MRI_FLOAT {
let mut mgh_data : Vec<f32> = Vec::with_capacity(num_voxels);
for _ in 1..=num_voxels {
mgh_data.push(file.read_f32()?);
}
data_mri_float = Some(Array::from_shape_vec(vol_dim, mgh_data).unwrap());
} else if hdr.dtype == MRI_SHORT {
let mut mgh_data : Vec<i16> = Vec::with_capacity(num_voxels);
for _ in 1..=num_voxels {
mgh_data.push(file.read_i16()?);
}
data_mri_short = Some(Array::from_shape_vec(vol_dim, mgh_data).unwrap());
} else {
return Err(NeuroformatsError::UnsupportedMriDataTypeInMgh);
}
let mgh_data = FsMghData {
mri_uchar : data_mri_uchar,
mri_int : data_mri_int,
mri_float : data_mri_float,
mri_short : data_mri_short,
};
Ok(mgh_data)
}
/// Get dimensions of the MGH data.
pub fn dim(&self) -> [usize; 4] {
self.header.dim()
}
/// Compute the vox2ras matrix from the header information, if available.
///
/// Forwarded to [`FsMghHeader::vox2ras`], see there for details.
pub fn vox2ras(&self) -> Result<Array2<f32>> {
self.header.vox2ras()
}
}
/// Check whether the file extension ends with ".mgz".
pub fn is_mgz_file<P>(path: P) -> bool
where
P: AsRef<Path>,
{
path.as_ref()
.file_name()
.map(|a| a.to_string_lossy().ends_with(".mgz"))
.unwrap_or(false)
}
/// Read an MGH or MGZ file.
///
/// The MGH format stores images with up to 4 dimensions. It is typically used to
/// store voxels of 3D magnetic resonance images (MRI) or related data like results from statistical
/// analyses of these images. By convention, the 4th dimension is the time dimension, and it is often unused.
/// The format can also be used to store 1D per-vertex data from surface-based analyses, either for a
/// single subject (in which case only the 1st dimension is used), or for a group (in which case the first and
/// second dimensions are used).
///
/// Whether MGH or MGZ format should be used is determined from the file extension according to
/// the following rule: files ending with `.mgz` are written in MGZ format, all others are
/// written in MGH format.
///
/// Note that the MGH data can use different data types, and this affects where in the returned [`FsMghData`] part
/// of the [`FsMgh`] the data can be found. Supported MGH data types are:
///
/// * MRI_UCHAR (code `0`, maps to Rust datatype `u8`)
/// * MRI_INT (code `1`, maps to Rust datatype `i32`)
/// * MRI_FLOAT (code `3`, maps to Rust datatype `f32`)
/// * MRI_SHORT (code `4`, maps to Rust datatype `i16`).
///
/// # See also
///
/// The [`FsMghHeader::vox2ras`] function can be used to compute the RAS coordinates of a voxel.
///
/// # Examples
///
/// Read an MGH file containing raw MRI data (voxel intensities from a scanner) as MRI_UCHAR and access the data:
///
/// ```no_run
/// let mgh = neuroformats::read_mgh("/path/to/subjects_dir/subject1/mri/brain.mgz").unwrap();
/// assert_eq!(mgh.header.dtype, neuroformats::MRI_UCHAR);
/// let voxels = mgh.data.mri_uchar.unwrap();
/// ```
pub fn read_mgh<P: AsRef<Path> + Copy>(path: P) -> Result<FsMgh> {
FsMgh::from_file(path)
}
impl fmt::Display for FsMgh {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "FreeSurfer 4D MRI data with dim {}, {}, {}, {} and RAS flag: {}.", self.header.dim1len, self.header.dim2len, self.header.dim3len, self.header.dim4len, self.header.is_ras_good)
}
}
/// Write an FsMgh struct to a file in MGH or MGZ format.
///
/// Whether MGH or MGZ format should be used is determined from the file extension according to
/// the following rule: files ending with `.mgz` are written in MGZ format, all others are
/// written in MGH format.
pub fn write_mgh<P: AsRef<Path> + Copy>(path: P, mgh : &FsMgh) -> std::io::Result<()> {
if is_mgz_file(path) {
write_mgz_compressed(path, mgh)
} else {
write_mgh_uncompressed(path, mgh)
}
}
/// Write an MGH file in the uncompressed file format version.
fn write_mgh_uncompressed<P: AsRef<Path> + Copy>(path: P, mgh : &FsMgh) -> std::io::Result<()> {
let f = File::create(path)?;
let writer = BufWriter::new(&f);
write_mgh_to(writer, mgh)
}
/// Write an MGZ file in the gz-compressed file format version.
fn write_mgz_compressed<P: AsRef<Path> + Copy>(path: P, mgh : &FsMgh) -> std::io::Result<()> {
let f = File::create(path)?;
let writer = BufWriter::new(flate2::write::GzEncoder::new(&f, Compression::default()));
write_mgh_to(writer, mgh)
}
/// Write an FsMgh struct to a file in FreeSurfer MGH format. MGZ is not supported yet.
fn write_mgh_to<W>(f : W, mgh : &FsMgh) -> std::io::Result<()> where W : Write {
let mut f = ByteOrdered::runtime(f, Endianness::Big);
f.write_i32(mgh.header.mgh_format_version as i32)?;
f.write_i32(mgh.header.dim1len)?;
f.write_i32(mgh.header.dim2len)?;
f.write_i32(mgh.header.dim3len)?;
f.write_i32(mgh.header.dim4len)?;
f.write_i32(mgh.header.dtype)?;
f.write_i32(mgh.header.dof)?;
f.write_i16(mgh.header.is_ras_good)?;
for v in mgh.header.delta.iter() { f.write_f32(*v)?; }
for v in mgh.header.mdc_raw.iter() { f.write_f32(*v)?; }
for v in mgh.header.p_xyz_c.iter() { f.write_f32(*v)?; }
// Fill rest of header space.
let header_space_left : usize = 194;
for _v in 0..header_space_left { f.write_u8(0 as u8)?; }
// Write data.
if mgh.header.dtype == MRI_UCHAR {
for v in mgh.data.mri_uchar.as_ref().unwrap().iter() { f.write_u8(*v)?; }
} else if mgh.header.dtype == MRI_INT {
for v in mgh.data.mri_int.as_ref().unwrap().iter() { f.write_i32(*v)?; }
} else if mgh.header.dtype == MRI_FLOAT {
for v in mgh.data.mri_float.as_ref().unwrap().iter() { f.write_f32(*v)?; }
} else if mgh.header.dtype == MRI_SHORT {
for v in mgh.data.mri_short.as_ref().unwrap().iter() { f.write_i16(*v)?; }
} else {
panic!("Unsupported MRI data type.");
}
Ok(())
}
#[cfg(test)]
mod test {
use approx::AbsDiffEq;
use tempfile::{tempdir};
use super::*;
#[test]
fn the_brain_mgz_file_can_be_read() {
const MGZ_FILE: &str = "resources/subjects_dir/subject1/mri/brain.mgz";
let mgh = read_mgh(MGZ_FILE).unwrap();
// Test MGH header.
assert_eq!(mgh.header.dim1len, 256);
assert_eq!(mgh.header.dim2len, 256);
assert_eq!(mgh.header.dim3len, 256);
assert_eq!(mgh.header.dim4len, 1);
assert_eq!(mgh.header.dtype, MRI_UCHAR);
assert_eq!(mgh.header.is_ras_good, 1);
let expected_delta : Array1<f32> = array![1.0, 1.0, 1.0];
let expected_mdc : Array2<f32> = Array2::from_shape_vec((3, 3), [-1., 0., 0., 0., 0., -1., 0., 1., 0.].to_vec()).unwrap();
let expected_p_xyz_c : Array1<f32> = array![-0.49995422, 29.372742, -48.90473];
let delta : Array1<f32> = Array1::from(mgh.header.delta.to_vec());
let mdc : Array2<f32> = Array2::from_shape_vec((3, 3), mgh.header.mdc_raw.to_vec()).unwrap();
let p_xyz_c : Array1<f32> = Array1::from(mgh.header.p_xyz_c.to_vec());
assert!(delta.abs_diff_eq(&expected_delta, 1e-5));
assert!(mdc.abs_diff_eq(&expected_mdc, 1e-5));
assert!(p_xyz_c.abs_diff_eq(&expected_p_xyz_c, 1e-5));
// Test MGH data.
let data = mgh.data.mri_uchar.unwrap();
assert_eq!(data.ndim(), 4);
assert_eq!(data[[99, 99, 99, 0]], 77); // try on command line: mri_info --voxel 99 99 99 resources/subjects_dir/subject1/mri/brain.mgz
assert_eq!(data[[109, 109, 109, 0]], 71);
assert_eq!(data[[0, 0, 0, 0]], 0);
assert_eq!(data.mapv(|a| a as i32).sum(), 121035479);
}
#[test]
fn the_vox2ras_matrix_can_be_computed() {
const MGZ_FILE: &str = "resources/subjects_dir/subject1/mri/brain.mgz";
let mgh = read_mgh(MGZ_FILE).unwrap();
// Test vox2ras computation
let vox2ras = mgh.header.vox2ras().unwrap();
assert_eq!(vox2ras.len(), 16);
let expected_vox2ras_ar : Vec<f32> = [-1., 0., 0., 0., 0., 0., -1. ,0. ,0., 1., 0., 0., 127.5, -98.6273, 79.0953, 1.].to_vec();
let expected_vox2ras = Array2::from_shape_vec((4, 4), expected_vox2ras_ar).unwrap().t().into_owned();
assert!(vox2ras.abs_diff_eq(&expected_vox2ras, 1e-2));
// Example: Use the vox2ras matrix to compute the RAS coords for voxel at indices (32, 32, 32).
let my_voxel_ijk : Array1<f32> = Array1::from([32.0, 32.0, 32.0, 1.0].to_vec()); // the 4th value in the vector is for homogenous coordinates.
let my_voxel_ras = vox2ras.dot(&my_voxel_ijk);
let expected_voxel_ras : Array1<f32> = Array1::from([95.500046, -66.62726, 47.09527, 1.0].to_vec());
assert!(my_voxel_ras.abs_diff_eq(&expected_voxel_ras, 1e-2));
}
#[test]
fn the_demo_mgh_file_can_be_read() {
const MGH_FILE: &str = "resources/mgh/tiny.mgh";
let mgh = read_mgh(MGH_FILE).unwrap();
assert_eq!(mgh.header.dim1len, 3);
assert_eq!(mgh.header.dim2len, 3);
assert_eq!(mgh.header.dim3len, 3);
assert_eq!(mgh.header.dim4len, 1);
assert_eq!(mgh.dim(), [3 as usize, 3 as usize, 3 as usize, 1 as usize]);
assert_eq!(mgh.header.dim(), [3 as usize, 3 as usize, 3 as usize, 1 as usize]);
assert_eq!(mgh.header.is_ras_good, -1);
}
#[test]
fn an_mgh_file_can_be_written_as_mgh_and_reread() {
const MGZ_FILE: &str = "resources/subjects_dir/subject1/mri/brain.mgz";
let mgh = read_mgh(MGZ_FILE).unwrap();
let dir = tempdir().unwrap();
let tfile_path = dir.path().join("temp-file.mgh");
let tfile_path = tfile_path.to_str().unwrap();
write_mgh(tfile_path, &mgh).unwrap();
let mgh_re = read_mgh(tfile_path).unwrap();
// Test vox2ras computation
let vox2ras = mgh_re.header.vox2ras().unwrap();
assert_eq!(vox2ras.len(), 16);
let expected_vox2ras_ar : Vec<f32> = [-1., 0., 0., 0., 0., 0., -1. ,0. ,0., 1., 0., 0., 127.5, -98.6273, 79.0953, 1.].to_vec();
let expected_vox2ras = Array2::from_shape_vec((4, 4), expected_vox2ras_ar).unwrap().t().into_owned();
assert!(vox2ras.abs_diff_eq(&expected_vox2ras, 1e-2));
// Example: Use the vox2ras matrix to compute the RAS coords for voxel at indices (32, 32, 32).
let my_voxel_ijk : Array1<f32> = Array1::from([32.0, 32.0, 32.0, 1.0].to_vec()); // the 4th value in the vector is for homogenous coordinates.
let my_voxel_ras = vox2ras.dot(&my_voxel_ijk);
let expected_voxel_ras : Array1<f32> = Array1::from([95.500046, -66.62726, 47.09527, 1.0].to_vec());
assert!(my_voxel_ras.abs_diff_eq(&expected_voxel_ras, 1e-2));
// Test MGH header.
assert_eq!(mgh_re.header.dim1len, 256);
assert_eq!(mgh_re.header.dim2len, 256);
assert_eq!(mgh_re.header.dim3len, 256);
assert_eq!(mgh_re.header.dim4len, 1);
assert_eq!(mgh_re.header.dtype, MRI_UCHAR);
assert_eq!(mgh_re.header.is_ras_good, 1);
let expected_delta : Array1<f32> = array![1.0, 1.0, 1.0];
let expected_mdc : Array2<f32> = Array2::from_shape_vec((3, 3), [-1., 0., 0., 0., 0., -1., 0., 1., 0.].to_vec()).unwrap();
let expected_p_xyz_c : Array1<f32> = array![-0.49995422, 29.372742, -48.90473];
let delta : Array1<f32> = Array1::from(mgh_re.header.delta.to_vec());
let mdc : Array2<f32> = Array2::from_shape_vec((3, 3), mgh_re.header.mdc_raw.to_vec()).unwrap();
let p_xyz_c : Array1<f32> = Array1::from(mgh_re.header.p_xyz_c.to_vec());
assert!(delta.abs_diff_eq(&expected_delta, 1e-5));
assert!(mdc.abs_diff_eq(&expected_mdc, 1e-5));
assert!(p_xyz_c.abs_diff_eq(&expected_p_xyz_c, 1e-5));
// Test MGH data.
let data = mgh_re.data.mri_uchar.unwrap();
assert_eq!(data.ndim(), 4);
assert_eq!(data[[99, 99, 99, 0]], 77); // try on command line: mri_info --voxel 99 99 99 resources/subjects_dir/subject1/mri/brain.mgz
assert_eq!(data[[109, 109, 109, 0]], 71);
assert_eq!(data[[0, 0, 0, 0]], 0);
assert_eq!(data.mapv(|a| a as i32).sum(), 121035479);
}
#[test]
fn an_mgh_file_can_be_written_as_mgz_and_reread() {
const MGZ_FILE: &str = "resources/subjects_dir/subject1/mri/brain.mgz";
let mgh = read_mgh(MGZ_FILE).unwrap();
let dir = tempdir().unwrap();
let tfile_path = dir.path().join("temp-file.mgz");
let tfile_path = tfile_path.to_str().unwrap();
write_mgh(tfile_path, &mgh).unwrap();
let mgh_re = read_mgh(tfile_path).unwrap();
// Test vox2ras computation
let vox2ras = mgh_re.header.vox2ras().unwrap();
assert_eq!(vox2ras.len(), 16);
let expected_vox2ras_ar : Vec<f32> = [-1., 0., 0., 0., 0., 0., -1. ,0. ,0., 1., 0., 0., 127.5, -98.6273, 79.0953, 1.].to_vec();
let expected_vox2ras = Array2::from_shape_vec((4, 4), expected_vox2ras_ar).unwrap().t().into_owned();
assert!(vox2ras.abs_diff_eq(&expected_vox2ras, 1e-2));
// Example: Use the vox2ras matrix to compute the RAS coords for voxel at indices (32, 32, 32).
let my_voxel_ijk : Array1<f32> = Array1::from([32.0, 32.0, 32.0, 1.0].to_vec()); // the 4th value in the vector is for homogenous coordinates.
let my_voxel_ras = vox2ras.dot(&my_voxel_ijk);
let expected_voxel_ras : Array1<f32> = Array1::from([95.500046, -66.62726, 47.09527, 1.0].to_vec());
assert!(my_voxel_ras.abs_diff_eq(&expected_voxel_ras, 1e-2));
// Test MGH header.
assert_eq!(mgh_re.header.dim1len, 256);
assert_eq!(mgh_re.header.dim2len, 256);
assert_eq!(mgh_re.header.dim3len, 256);
assert_eq!(mgh_re.header.dim4len, 1);
assert_eq!(mgh_re.header.dtype, MRI_UCHAR);
assert_eq!(mgh_re.header.is_ras_good, 1);
let expected_delta : Array1<f32> = array![1.0, 1.0, 1.0];
let expected_mdc : Array2<f32> = Array2::from_shape_vec((3, 3), [-1., 0., 0., 0., 0., -1., 0., 1., 0.].to_vec()).unwrap();
let expected_p_xyz_c : Array1<f32> = array![-0.49995422, 29.372742, -48.90473];
let delta : Array1<f32> = Array1::from(mgh_re.header.delta.to_vec());
let mdc : Array2<f32> = Array2::from_shape_vec((3, 3), mgh_re.header.mdc_raw.to_vec()).unwrap();
let p_xyz_c : Array1<f32> = Array1::from(mgh_re.header.p_xyz_c.to_vec());
assert!(delta.abs_diff_eq(&expected_delta, 1e-5));
assert!(mdc.abs_diff_eq(&expected_mdc, 1e-5));
assert!(p_xyz_c.abs_diff_eq(&expected_p_xyz_c, 1e-5));
// Test MGH data.
let data = mgh_re.data.mri_uchar.unwrap();
assert_eq!(data.ndim(), 4);
assert_eq!(data[[99, 99, 99, 0]], 77); // try on command line: mri_info --voxel 99 99 99 resources/subjects_dir/subject1/mri/brain.mgz
assert_eq!(data[[109, 109, 109, 0]], 71);
assert_eq!(data[[0, 0, 0, 0]], 0);
assert_eq!(data.mapv(|a| a as i32).sum(), 121035479);
}
}