1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
|
import numpy as np, PIL, os
from matplotlib import pyplot as plt, rcParams
from crl.color import *
def assets(path):
return os.path.join(os.path.dirname(__file__), "assets", path)
plot_data = {
xyY: {
"diagram_path": assets("diagram_xy.png"),
"diagram_bounds": [0, 0.75, 0, 0.85],
"xlabel": "$x$",
"ylabel": "$y$"
},
uvY: {
"diagram_path": assets("diagram_uv.png"),
"diagram_bounds": [0, 0.7, 0, 0.4],
"xlabel": "$u$",
"ylabel": "$v$"
},
uvY76: {
"diagram_path": assets("diagram_uv76.png"),
"diagram_bounds": [0, 0.65, 0, 0.63],
"xlabel": "$u'$",
"ylabel": "$v'$"
},
UVstarNormedD65: {
"diagram_path": assets("diagram_UVWstar.png"),
"diagram_bounds": [-2.6, 5.6, -4, 1.1],
"xlabel": "$\\frac{U^*}{W^*}$",
"ylabel": "$\\frac{V^*}{W^*}$"
},
LabstarD65: {
"diagram_path": assets("diagram_Labstar.png"),
"diagram_bounds": [-50, 50, -50, 50],
"xlabel": "$a^*$",
"ylabel": "$b^*$"
}
}
def draw_isotherm(ax, CS, x, y, T, plot_space_scale, labels, label_scale):
u0, v0, _ = uvY(BlackBodySpectrum(T))
ut, vt, _ = uvY(BlackBodySpectrum(T + 100)) # t stands for 'tangent'
duv = np.array([ut - u0, vt - v0])
du, dv = np.matmul([[0, -1], [1, 0]], duv) # rotate 90 degrees
annotate = False
X, Y = [], []
for sign in [-1, 1]:
xp, yp, _ = CS.from_XYZ(uvY(
u0 + sign * du,
v0 + sign * dv, 1).to_XYZ())
dxy = np.array([xp - x, yp - y])
if T % 1000 == 500:
size = 0.006
elif T <= 5000 or T == 10000:
size = 0.02
annotate = True
else:
size = 0.012
dxy *= plot_space_scale * size / np.linalg.norm(dxy)
X.append(x + dxy[0])
Y.append(y + dxy[1])
ax.plot(X, Y, "k-", linewidth=1)
if labels and annotate:
save = rcParams['font.size']
rcParams['font.size'] *= label_scale
ax.annotate("%d" % T, xy=(X[1], Y[1]),
horizontalalignment="left",
verticalalignment="top")
rcParams['font.size'] = save
def chromaticity_diagram(CS, label_scale=1/1.5, ax=plt,
pures=True, pures_labels=True,
locus=True, isotherms=False,
isotherm_labels = False, isotherm_label_scale=1/1.7):
if CS not in plot_data:
raise ValueError("color triangle plots for %s are not supported" % CS.full_name)
if CS == LabstarD65:
# These won't work in L*a*b*
pures = False
locus = False
if not hasattr(CS, "diagram_image"):
img = PIL.Image.open(plot_data[CS]["diagram_path"])
img.load()
CS.diagram_image = np.asarray(img, dtype="float") / 255
ax.imshow(CS.diagram_image, extent=plot_data[CS]["diagram_bounds"], \
interpolation="bilinear")
save = rcParams['font.size']
rcParams['font.size'] *= label_scale
plot_space_scale = 10 if CS == UVstarNormed else 1
if pures:
wvls = np.linspace(380, 780, 300)
outline = np.array([[*CS(PointSpectrum(wvl))] for wvl in wvls])
ax.plot(outline[:, 0], outline[:, 1], 'k')
def tick(wvl, l, label=False):
x, y, _ = CS(PointSpectrum(wvl))
xe, ye, _ = CS(PointSpectrum(wvl + 5))
l *= plot_space_scale
dx = np.array([xe - x, ye - y])
dx *= l / np.linalg.norm(dx)
dx = np.matmul([[0, -1], [1, 0]], dx)
ax.plot((x, x + dx[0]), (y, y + dx[1]), 'k-')
if pures_labels and label:
ax.annotate("%d" % wvl, (x, y),
xytext=np.array([x, y]) + dx * 2,
horizontalalignment="center",
verticalalignment="center")
L = [380, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620]
for wvl in range(400, 680, 5):
if wvl not in L:
if wvl % 10 == 0:
tick(wvl, 0.012)
else:
tick(wvl, 0.007)
for wvl in L:
tick(wvl, 0.02, True)
if locus:
x = np.zeros(50)
y = np.zeros(np.size(x))
for i in range(np.size(x)):
T = 1000 * 20 ** (i / (np.size(x) - 1))
x[i], y[i], _ = CS(BlackBodySpectrum(T))
ax.plot(x, y, "k-", linewidth=1)
if type(isotherms) == list:
Ts = isotherms
else:
Ts = range(2000, 10001, 500)
for T in Ts:
x, y, _ = CS(BlackBodySpectrum(T))
if isotherms:
draw_isotherm(ax, CS, x, y, T, plot_space_scale,
isotherm_labels, isotherm_label_scale)
else:
ax.plot(x, y, "ko", markersize=2)
rcParams['font.size'] = save
ax.xlabel(plot_data[CS]["xlabel"])
ax.ylabel(plot_data[CS]["ylabel"])
|