In neuroim there is basic support for creating regions of interest (ROI). To create a spherical ROI around a central point, we need an existing object of type BrainVolume or BrainSpace.
To create a spherical region of interest with a 5mm radius around a central voxel at i=20, j=20, k=20, we can do the following:
      # attach MNI BrainSpace instance
      data("MNI_SPACE_1MM")
      # we create a spherical ROI centered around voxel coordinates [20,20,20] with a 5mm radius, 
      # filling all values in the ROI with 100.
      sphere <- RegionSphere(MNI_SPACE_1MM, c(20,20,20), radius=5, fill=100)
      # to extract the voxel coordinates of the sphere:
      vox <- coords(sphere)
      # to get the values at the coordinate locations
      vals <- values(sphere)
      all.equal(vals, rep(100, length(vals)))   
#> [1] TRUE
To create a spherical ROI centered around an real coordinate in mm, we need to first convert the real-valued coordinate to a voxel-based coordinate. Suppose our real-world coordinate is at -50, -28, 10 in MNI space.
    rpoint <- c(-50,-28,10)
    # Because RegionSphere takes a coordinate in voxel units, 
    # we need to convert to the real-world MNI coordinate to grid coordinates.
    vox <- coordToGrid(MNI_SPACE_1MM, rpoint)
    sphere <- RegionSphere(MNI_SPACE_1MM, vox, radius=10, fill=1)
    dim(coords(sphere))
#> [1] 4169    3
    # convert back to MNI coordinates
    mnicoords <- indexToCoord(MNI_SPACE_1MM, indices(sphere))
    ## compute center of mass of MNI coords in ROI (should be close to original coordinate)
    centerOfMass <- colMeans(mnicoords)
    centerOfMass
#> [1] -50.5 -27.5  10.5
We may want to convert a region of interest to a BrainVolume instance. But we don't want to store every value in dense grid. Here we can make use of the SparseBrainVolume class which only stores non-zero values. 
    sphere <- RegionSphere(MNI_SPACE_1MM, c(50,50,50), radius=10, fill=1)
    sparsevol <- SparseBrainVolume(values(sphere),MNI_SPACE_1MM,indices=indices(sphere))
    sum(sparsevol) == sum(values(sphere))
#> [1] TRUE
    all(dim(sparsevol) == dim(MNI_SPACE_1MM))
#> [1] TRUE