CODE EXAMPLE FOR PYTHON

matplotlib matshow log scale

from pylab import figure, cm
from matplotlib.colors import LogNorm

# C = some matrix
f = figure(figsize=(6.2, 5.6))
ax = f.add_axes([0.17, 0.02, 0.72, 0.79])
axcolor = f.add_axes([0.90, 0.02, 0.03, 0.79])

im = ax.matshow(C, cmap=cm.gray_r, norm=LogNorm(vmin=0.01, vmax=1))

t = [0.01, 0.1, 0.2, 0.4, 0.6, 0.8, 1.0]
f.colorbar(im, cax=axcolor, ticks=t, format="$%.2f$")

f.show()