I know this is late to the game, but I just went through this process and came up with a solution that perhaps less robust than subclassing normalize, but much simpler. I thought it'd be good to share it here for posterity.
The function
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1 import AxesGrid
def shiftedColorMap(cmap, start=0, midpoint=0.5, stop=1.0, name='shiftedcmap'):
'''
Function to offset the "center" of a colormap. Useful for
data with a negative min and positive max and you want the
middle of the colormap's dynamic range to be at zero.
Input
-----
cmap : The matplotlib colormap to be altered
start : Offset from lowest point in the colormap's range.
Defaults to 0.0 (no lower offset). Should be between
0.0 and `midpoint`.
midpoint : The new center of the colormap. Defaults to
0.5 (no shift). Should be between 0.0 and 1.0. In
general, this should be 1 - vmax / (vmax + abs(vmin))
For example if your data range from -15.0 to +5.0 and
you want the center of the colormap at 0.0, `midpoint`
should be set to 1 - 5/(5 + 15)) or 0.75
stop : Offset from highest point in the colormap's range.
Defaults to 1.0 (no upper offset). Should be between
`midpoint` and 1.0.
'''
cdict = {
'red': [],
'green': [],
'blue': [],
'alpha': []
}
# regular index to compute the colors
reg_index = np.linspace(start, stop, 257)
# shifted index to match the data
shift_index = np.hstack([
np.linspace(0.0, midpoint, 128, endpoint=False),
np.linspace(midpoint, 1.0, 129, endpoint=True)
])
for ri, si in zip(reg_index, shift_index):
r, g, b, a = cmap(ri)
cdict['red'].append((si, r, r))
cdict['green'].append((si, g, g))
cdict['blue'].append((si, b, b))
cdict['alpha'].append((si, a, a))
newcmap = matplotlib.colors.LinearSegmentedColormap(name, cdict)
plt.register_cmap(cmap=newcmap)
return newcmap
An example
biased_data = np.random.random_integers(low=-15, high=5, size=(37,37))
orig_cmap = matplotlib.cm.coolwarm
shifted_cmap = shiftedColorMap(orig_cmap, midpoint=0.75, name='shifted')
shrunk_cmap = shiftedColorMap(orig_cmap, start=0.15, midpoint=0.75, stop=0.85, name='shrunk')
fig = plt.figure(figsize=(6,6))
grid = AxesGrid(fig, 111, nrows_ncols=(2, 2), axes_pad=0.5,
label_mode="1", share_all=True,
cbar_location="right", cbar_mode="each",
cbar_size="7%", cbar_pad="2%")
# normal cmap
im0 = grid[0].imshow(biased_data, interpolation="none", cmap=orig_cmap)
grid.cbar_axes[0].colorbar(im0)
grid[0].set_title('Default behavior (hard to see bias)', fontsize=8)
im1 = grid[1].imshow(biased_data, interpolation="none", cmap=orig_cmap, vmax=15, vmin=-15)
grid.cbar_axes[1].colorbar(im1)
grid[1].set_title('Centered zero manually,\nbut lost upper end of dynamic range', fontsize=8)
im2 = grid[2].imshow(biased_data, interpolation="none", cmap=shifted_cmap)
grid.cbar_axes[2].colorbar(im2)
grid[2].set_title('Recentered cmap with function', fontsize=8)
im3 = grid[3].imshow(biased_data, interpolation="none", cmap=shrunk_cmap)
grid.cbar_axes[3].colorbar(im3)
grid[3].set_title('Recentered cmap with function\nand shrunk range', fontsize=8)
for ax in grid:
ax.set_yticks([])
ax.set_xticks([])
Results of the example:

Top answer 1 of 11
101
I know this is late to the game, but I just went through this process and came up with a solution that perhaps less robust than subclassing normalize, but much simpler. I thought it'd be good to share it here for posterity.
The function
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1 import AxesGrid
def shiftedColorMap(cmap, start=0, midpoint=0.5, stop=1.0, name='shiftedcmap'):
'''
Function to offset the "center" of a colormap. Useful for
data with a negative min and positive max and you want the
middle of the colormap's dynamic range to be at zero.
Input
-----
cmap : The matplotlib colormap to be altered
start : Offset from lowest point in the colormap's range.
Defaults to 0.0 (no lower offset). Should be between
0.0 and `midpoint`.
midpoint : The new center of the colormap. Defaults to
0.5 (no shift). Should be between 0.0 and 1.0. In
general, this should be 1 - vmax / (vmax + abs(vmin))
For example if your data range from -15.0 to +5.0 and
you want the center of the colormap at 0.0, `midpoint`
should be set to 1 - 5/(5 + 15)) or 0.75
stop : Offset from highest point in the colormap's range.
Defaults to 1.0 (no upper offset). Should be between
`midpoint` and 1.0.
'''
cdict = {
'red': [],
'green': [],
'blue': [],
'alpha': []
}
# regular index to compute the colors
reg_index = np.linspace(start, stop, 257)
# shifted index to match the data
shift_index = np.hstack([
np.linspace(0.0, midpoint, 128, endpoint=False),
np.linspace(midpoint, 1.0, 129, endpoint=True)
])
for ri, si in zip(reg_index, shift_index):
r, g, b, a = cmap(ri)
cdict['red'].append((si, r, r))
cdict['green'].append((si, g, g))
cdict['blue'].append((si, b, b))
cdict['alpha'].append((si, a, a))
newcmap = matplotlib.colors.LinearSegmentedColormap(name, cdict)
plt.register_cmap(cmap=newcmap)
return newcmap
An example
biased_data = np.random.random_integers(low=-15, high=5, size=(37,37))
orig_cmap = matplotlib.cm.coolwarm
shifted_cmap = shiftedColorMap(orig_cmap, midpoint=0.75, name='shifted')
shrunk_cmap = shiftedColorMap(orig_cmap, start=0.15, midpoint=0.75, stop=0.85, name='shrunk')
fig = plt.figure(figsize=(6,6))
grid = AxesGrid(fig, 111, nrows_ncols=(2, 2), axes_pad=0.5,
label_mode="1", share_all=True,
cbar_location="right", cbar_mode="each",
cbar_size="7%", cbar_pad="2%")
# normal cmap
im0 = grid[0].imshow(biased_data, interpolation="none", cmap=orig_cmap)
grid.cbar_axes[0].colorbar(im0)
grid[0].set_title('Default behavior (hard to see bias)', fontsize=8)
im1 = grid[1].imshow(biased_data, interpolation="none", cmap=orig_cmap, vmax=15, vmin=-15)
grid.cbar_axes[1].colorbar(im1)
grid[1].set_title('Centered zero manually,\nbut lost upper end of dynamic range', fontsize=8)
im2 = grid[2].imshow(biased_data, interpolation="none", cmap=shifted_cmap)
grid.cbar_axes[2].colorbar(im2)
grid[2].set_title('Recentered cmap with function', fontsize=8)
im3 = grid[3].imshow(biased_data, interpolation="none", cmap=shrunk_cmap)
grid.cbar_axes[3].colorbar(im3)
grid[3].set_title('Recentered cmap with function\nand shrunk range', fontsize=8)
for ax in grid:
ax.set_yticks([])
ax.set_xticks([])
Results of the example:

2 of 11
61
Note that in matplotlib version 3.2+ the TwoSlopeNorm class was added. I think it covers your use case. It can be used like this:
from matplotlib import colors
divnorm=colors.TwoSlopeNorm(vmin=-5., vcenter=0., vmax=10)
pcolormesh(your_data, cmap="coolwarm", norm=divnorm)
In matplotlib 3.1 the class was called DivergingNorm.
Matplotlib
matplotlib.org โบ 3.2.2 โบ gallery โบ userdemo โบ colormap_normalizations_custom.html
Colormap Normalizations Custom โ Matplotlib 3.2.2 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
GitHub
github.com โบ matplotlib โบ matplotlib โบ issues โบ 14892
Doc: MidpointNormalize example should point to DivergingNorm as a built-in function ยท Issue #14892 ยท matplotlib/matplotlib
July 26, 2019 - Also see matplotlib.colors. # From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # simple example...
Author: matplotlib
Matplotlib
matplotlib.org โบ 3.1.0 โบ gallery โบ userdemo โบ colormap_normalizations_custom.html
Colormap Normalizations Custom โ Matplotlib 3.1.0 documentation
May 18, 2019 - # From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Matplotlib
matplotlib.org โบ 3.1.1 โบ gallery โบ userdemo โบ colormap_normalizations_custom.html
Colormap Normalizations Custom โ Matplotlib 3.1.2 documentation
January 5, 2020 - # From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Matplotlib
matplotlib.org โบ 3.0.0 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.0.0 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Chris35wills
chris35wills.github.io โบ matplotlib_diverging_colorbar
Centre a diverging colorbar at a defined value with matplotlib
August 19, 2016 - elev_min=-1000 elev_max=3000 mid_val=0 plt.imshow(ras, cmap=cmap, clim=(elev_min, elev_max), norm=MidpointNormalize(midpoint=mid_val,vmin=elev_min, vmax=elev_max)) plt.colorbar() plt.show()
Matplotlib
matplotlib.org โบ 3.6.1 โบ gallery โบ images_contours_and_fields โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.6.1 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # simple example...
Matplotlib
matplotlib.org โบ 3.2.2 โบ tutorials โบ colors โบ colormapnorms.html
Colormap Normalization โ Matplotlib 3.2.2 documentation
June 17, 2020 - x, y = [self.vmin, self.vcenter, self.vmax], [0, 0.5, 1] return np.ma.masked_array(np.interp(value, x, y)) fig, ax = plt.subplots() midnorm = MidpointNormalize(vmin=-500., vcenter=0, vmax=4000) pcm = ax.pcolormesh(longitude, latitude, topo, rasterized=True, norm=midnorm, cmap=terrain_map) ax.set_aspect(1 / np.cos(np.deg2rad(49))) fig.colorbar(pcm, shrink=0.6, extend='both') plt.show()
Matplotlib
matplotlib.org โบ 3.4.1 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.4.1 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked ...
Matplotlib
matplotlib.org โบ stable โบ gallery โบ images_contours_and_fields โบ colormap_normalizations.html
Colormap normalizations โ Matplotlib 3.11.2 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # simple example...
Matplotlib
matplotlib.org โบ 2.1.0 โบ tutorials โบ colors โบ colormapnorms.html
Colormap Normalization โ Matplotlib 2.1.0 documentation
N = 100 X, Y = np.mgrid[-3:3:complex(0, N), -2:2:complex(0, N)] Z1 = (bivariate_normal(X, Y, 1., 1., 1.0, 1.0))**2 \ - 0.4 * (bivariate_normal(X, Y, 1.0, 1.0, -1.0, 0.0))**2 Z1 = Z1/0.03 class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # simple example...
Matplotlib
matplotlib.org โบ devdocs โบ gallery โบ images_contours_and_fields โบ colormap_normalizations.html
Colormap normalizations โ Matplotlib 3.12.0.dev272+gfe7830972 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked ...
Matplotlib
matplotlib.org โบ 3.1.0 โบ tutorials โบ colors โบ colormapnorms.html
Colormap Normalization โ Matplotlib 3.1.0 documentation
class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, vcenter=None, clip=False): self.vcenter = vcenter colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # ...
Matplotlib
matplotlib.org โบ 2.1.0 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 2.1.0 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Matplotlib
matplotlib.org โบ 2.1.2 โบ tutorials โบ colors โบ colormapnorms.html
Colormap Normalization โ Matplotlib 2.1.2 documentation
N = 100 X, Y = np.mgrid[-3:3:complex(0, N), -2:2:complex(0, N)] Z1 = (bivariate_normal(X, Y, 1., 1., 1.0, 1.0))**2 \ - 0.4 * (bivariate_normal(X, Y, 1.0, 1.0, -1.0, 0.0))**2 Z1 = Z1/0.03 class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked values and all kinds of edge cases to make a # simple example...
Matplotlib
matplotlib.org โบ 3.3.3 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.3.3 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Matplotlib
matplotlib.org โบ 3.3.1 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.3.1 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint colors.Normalize.__init__(self, vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ...
Matplotlib
matplotlib.org โบ 3.7.4 โบ gallery โบ images_contours_and_fields โบ colormap_normalizations.html
Colormap normalizations โ Matplotlib 3.7.4 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked ...
Matplotlib
matplotlib.org โบ 3.5.1 โบ gallery โบ userdemo โบ colormap_normalizations.html
Colormap Normalizations โ Matplotlib 3.5.1 documentation
# From Joe Kington: This one gives two different linear ramps: class MidpointNormalize(colors.Normalize): def __init__(self, vmin=None, vmax=None, midpoint=None, clip=False): self.midpoint = midpoint super().__init__(vmin, vmax, clip) def __call__(self, value, clip=None): # I'm ignoring masked ...