Non-orthogonal volume rendering from structured points

Hello all,
I have a legacy .vtk file with STRUCTURED_POINTS in scalar format but the volume I want to render is not parallel to the global coordinate system. Can anyone tell me how can I convert this data to a STRUCTURED_POINTS with unitcell geometry? Attaching the vtk file along with. (Cell parameters specified in the first line)
FYI, I already tried creating a grid of all the points, but the file becomes too big!

# vtk DataFile Version 1.0
CELL_PARAMETERS 37.072000 37.072000 30.033300 90.000000 90.000000 120.000000
ASCII
DATASET STRUCTURED_POINTS
DIMENSIONS 150 150 150
ORIGIN 0.00000 0.000000 0.000000
SPACING 0.24716667 0.24716667 0.200222
POINT_DATA 3375000
SCALARS scalars unsigned_short
LOOKUP_TABLE default
65535
5250
5243
5254
5262
5235
5240
5243
5228
5237
5236
5239
...