/usr/lib/python2.7/dist-packages/dipy/viz/colormap.py is in python-dipy 0.10.1-1.
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# Conditional import machinery for vtk
from dipy.utils.optpkg import optional_package
# Allow import, but disable doctests if we don't have vtk
vtk, have_vtk, setup_module = optional_package('vtk')
def colormap_lookup_table(scale_range=(0, 1), hue_range=(0.8, 0),
saturation_range=(1, 1), value_range=(0.8, 0.8)):
""" Lookup table for the colormap
Parameters
----------
scale_range : tuple
It can be anything e.g. (0, 1) or (0, 255). Usually it is the mininum
and maximum value of your data. Default is (0, 1).
hue_range : tuple of floats
HSV values (min 0 and max 1). Default is (0.8, 0).
saturation_range : tuple of floats
HSV values (min 0 and max 1). Default is (1, 1).
value_range : tuple of floats
HSV value (min 0 and max 1). Default is (0.8, 0.8).
Returns
-------
lookup_table : vtkLookupTable
"""
lookup_table = vtk.vtkLookupTable()
lookup_table.SetRange(scale_range)
lookup_table.SetTableRange(scale_range)
lookup_table.SetHueRange(hue_range)
lookup_table.SetSaturationRange(saturation_range)
lookup_table.SetValueRange(value_range)
lookup_table.Build()
return lookup_table
def cc(na, nd):
return (na * np.cos(nd * np.pi / 180.0))
def ss(na, nd):
return na * np.sin(nd * np.pi / 180.0)
def boys2rgb(v):
""" boys 2 rgb cool colormap
Maps a given field of undirected lines (line field) to rgb
colors using Boy's Surface immersion of the real projective
plane.
Boy's Surface is one of the three possible surfaces
obtained by gluing a Mobius strip to the edge of a disk.
The other two are the crosscap and Roman surface,
Steiner surfaces that are homeomorphic to the real
projective plane (Pinkall 1986). The Boy's surface
is the only 3D immersion of the projective plane without
singularities.
Visit http://www.cs.brown.edu/~cad/rp2coloring for further details.
Cagatay Demiralp, 9/7/2008.
Code was initially in matlab and was rewritten in Python for dipy by
the Dipy Team. Thank you Cagatay for putting this online.
Parameters
------------
v : array, shape (N, 3) of unit vectors (e.g., principal eigenvectors of
tensor data) representing one of the two directions of the
undirected lines in a line field.
Returns
---------
c : array, shape (N, 3) matrix of rgb colors corresponding to the vectors
given in V.
Examples
----------
>>> from dipy.viz import colormap
>>> v = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
>>> c = colormap.boys2rgb(v)
"""
if v.ndim == 1:
x = v[0]
y = v[1]
z = v[2]
if v.ndim == 2:
x = v[:, 0]
y = v[:, 1]
z = v[:, 2]
x2 = x ** 2
y2 = y ** 2
z2 = z ** 2
x3 = x * x2
y3 = y * y2
z3 = z * z2
z4 = z * z2
xy = x * y
xz = x * z
yz = y * z
hh1 = .5 * (3 * z2 - 1) / 1.58
hh2 = 3 * xz / 2.745
hh3 = 3 * yz / 2.745
hh4 = 1.5 * (x2 - y2) / 2.745
hh5 = 6 * xy / 5.5
hh6 = (1 / 1.176) * .125 * (35 * z4 - 30 * z2 + 3)
hh7 = 2.5 * x * (7 * z3 - 3 * z) / 3.737
hh8 = 2.5 * y * (7 * z3 - 3 * z)/3.737
hh9 = ((x2 - y2) * 7.5 * (7 * z2 - 1)) / 15.85
hh10 = ((2 * xy) * (7.5 * (7 * z2 - 1))) / 15.85
hh11 = 105 * (4 * x3 * z - 3 * xz * (1 - z2)) / 59.32
hh12 = 105 * (-4 * y3 * z + 3 * yz * (1 - z2)) / 59.32
s0 = -23.0
s1 = 227.9
s2 = 251.0
s3 = 125.0
ss23 = ss(2.71, s0)
cc23 = cc(2.71, s0)
ss45 = ss(2.12, s1)
cc45 = cc(2.12, s1)
ss67 = ss(.972, s2)
cc67 = cc(.972, s2)
ss89 = ss(.868, s3)
cc89 = cc(.868, s3)
X = 0.0
X = X + hh2 * cc23
X = X + hh3 * ss23
X = X + hh5 * cc45
X = X + hh4 * ss45
X = X + hh7 * cc67
X = X + hh8 * ss67
X = X + hh10 * cc89
X = X + hh9 * ss89
Y = 0.0
Y = Y + hh2 * -ss23
Y = Y + hh3 * cc23
Y = Y + hh5 * -ss45
Y = Y + hh4 * cc45
Y = Y + hh7 * -ss67
Y = Y + hh8 * cc67
Y = Y + hh10 * -ss89
Y = Y + hh9 * cc89
Z = 0.0
Z = Z + hh1 * -2.8
Z = Z + hh6 * -0.5
Z = Z + hh11 * 0.3
Z = Z + hh12 * -2.5
# scale and normalize to fit
# in the rgb space
w_x = 4.1925
trl_x = -2.0425
w_y = 4.0217
trl_y = -1.8541
w_z = 4.0694
trl_z = -2.1899
if v.ndim == 2:
N = len(x)
C = np.zeros((N, 3))
C[:, 0] = 0.9 * np.abs(((X - trl_x) / w_x)) + 0.05
C[:, 1] = 0.9 * np.abs(((Y - trl_y) / w_y)) + 0.05
C[:, 2] = 0.9 * np.abs(((Z - trl_z) / w_z)) + 0.05
if v.ndim == 1:
C = np.zeros((3,))
C[0] = 0.9 * np.abs(((X - trl_x) / w_x)) + 0.05
C[1] = 0.9 * np.abs(((Y - trl_y) / w_y)) + 0.05
C[2] = 0.9 * np.abs(((Z - trl_z) / w_z)) + 0.05
return C
def orient2rgb(v):
""" standard orientation 2 rgb colormap
v : array, shape (N, 3) of vectors not necessarily normalized
Returns
-------
c : array, shape (N, 3) matrix of rgb colors corresponding to the vectors
given in V.
Examples
--------
>>> from dipy.viz import colormap
>>> v = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
>>> c = colormap.orient2rgb(v)
"""
if v.ndim == 1:
orient = v
orient = np.abs(orient / np.linalg.norm(orient))
if v.ndim == 2:
orientn = np.sqrt(v[:, 0] ** 2 + v[:, 1] ** 2 + v[:, 2] ** 2)
orientn.shape = orientn.shape+(1,)
orient = np.abs(v / orientn)
return orient
def line_colors(streamlines, cmap='rgb_standard'):
""" Create colors for streamlines to be used in fvtk.line
Parameters
----------
streamlines : sequence of ndarrays
cmap : ('rgb_standard', 'boys_standard')
Returns
-------
colors : ndarray
"""
if cmap == 'rgb_standard':
col_list = [orient2rgb(streamline[-1] - streamline[0])
for streamline in streamlines]
if cmap == 'boys_standard':
col_list = [boys2rgb(streamline[-1] - streamline[0])
for streamline in streamlines]
return np.vstack(col_list)
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