The contour plot demo shows how you can plot the curves with the level value plotted over them, see below.
Based on Jakob's code, here is a function that rotates the text in data space, puts labels near a given x or y data coordinate, and works also with log plots.
def label_line(line, label_text, near_i=None, near_x=None, near_y=None, rotation_offset=0, offset=(0,0)):
"""call
l, = plt.loglog(x, y)
label_line(l, "text", near_x=0.32)
"""
def put_label(i):
"""put label at given index"""
i = min(i, len(x)-2)
dx = sx[i+1] - sx[i]
dy = sy[i+1] - sy[i]
rotation = np.rad2deg(math.atan2(dy, dx)) + rotation_offset
pos = [(x[i] + x[i+1])/2. + offset[0], (y[i] + y[i+1])/2 + offset[1]]
plt.text(pos[0], pos[1], label_text, size=9, rotation=rotation, color = line.get_color(),
ha="center", va="center", bbox = dict(ec='1',fc='1'))
x = line.get_xdata()
y = line.get_ydata()
ax = line.get_axes()
if ax.get_xscale() == 'log':
sx = np.log10(x) # screen space
else:
sx = x
if ax.get_yscale() == 'log':
sy = np.log10(y)
else:
sy = y
# find index
if near_i is not None:
i = near_i
if i < 0: # sanitize negative i
i = len(x) + i
put_label(i)
elif near_x is not None:
for i in range(len(x)-2):
if (x[i] < near_x and x[i+1] >= near_x) or (x[i+1] < near_x and x[i] >= near_x):
put_label(i)
elif near_y is not None:
for i in range(len(y)-2):
if (y[i] < near_y and y[i+1] >= near_y) or (y[i+1] < near_y and y[i] >= near_y):
put_label(i)
else:
raise ValueError("Need one of near_i, near_x, near_y")