D.2.3 Implementation of the Grayscale Standard Display Function
Carrying this example into the even more specific case of a printer with an 8-bit input leads to the following table, which defines the OD's to be generated for each of the 256 possible P-Values.
Table D.2-1. Optical Densities for Each P-Value for an 8-Bit Printer
|
P-Value
|
Optical Density (OD)
|
|
P-Value
|
Optical Density (OD)
|
|
P-Value
|
Optical Density (OD)
|
|
P-Value
|
Optical Density (OD)
|
|
0
|
3.000
|
|
1
|
2.936
|
|
2
|
2.880
|
|
3
|
2.828
|
|
4
|
2.782
|
|
5
|
2.739
|
|
6
|
2.700
|
|
7
|
2.662
|
|
8
|
2.628
|
|
9
|
2.595
|
|
10
|
2.564
|
|
11
|
2.534
|
|
12
|
2.506
|
|
13
|
2.479
|
|
14
|
2.454
|
|
15
|
2.429
|
|
16
|
2.405
|
|
17
|
2.382
|
|
18
|
2.360
|
|
19
|
2.338
|
|
20
|
2.317
|
|
21
|
2.297
|
|
22
|
2.277
|
|
23
|
2.258
|
|
24
|
2.239
|
|
25
|
2.221
|
|
26
|
2.203
|
|
27
|
2.185
|
|
28
|
2.168
|
|
29
|
2.152
|
|
30
|
2.135
|
|
31
|
2.119
|
|
32
|
2.103
|
|
33
|
2.088
|
|
34
|
2.073
|
|
35
|
2.058
|
|
36
|
2.043
|
|
37
|
2.028
|
|
38
|
2.014
|
|
39
|
2.000
|
|
40
|
1.986
|
|
41
|
1.973
|
|
42
|
1.959
|
|
43
|
1.946
|
|
44
|
1.933
|
|
45
|
1.920
|
|
46
|
1.907
|
|
47
|
1.894
|
|
48
|
1.882
|
|
49
|
1.870
|
|
50
|
1.857
|
|
51
|
1.845
|
|
52
|
1.833
|
|
53
|
1.821
|
|
54
|
1.810
|
|
55
|
1.798
|
|
56
|
1.787
|
|
57
|
1.775
|
|
58
|
1.764
|
|
59
|
1.753
|
|
60
|
1.742
|
|
61
|
1.731
|
|
62
|
1.720
|
|
63
|
1.709
|
|
64
|
1.698
|
|
65
|
1.688
|
|
66
|
1.677
|
|
67
|
1.667
|
|
68
|
1.656
|
|
69
|
1.646
|
|
70
|
1.636
|
|
71
|
1.626
|
|
72
|
1.616
|
|
73
|
1.605
|
|
74
|
1.595
|
|
75
|
1.586
|
|
76
|
1.576
|
|
77
|
1.566
|
|
78
|
1.556
|
|
79
|
1.547
|
|
80
|
1.537
|
|
81
|
1.527
|
|
82
|
1.518
|
|
83
|
1.508
|
|
84
|
1.499
|
|
85
|
1.490
|
|
86
|
1.480
|
|
87
|
1.471
|
|
88
|
1.462
|
|
89
|
1.453
|
|
90
|
1.444
|
|
91
|
1.434
|
|
92
|
1.425
|
|
93
|
1.416
|
|
94
|
1.407
|
|
95
|
1.398
|
|
96
|
1.390
|
|
97
|
1.381
|
|
98
|
1.372
|
|
99
|
1.363
|
|
100
|
1.354
|
|
101
|
1.346
|
|
102
|
1.337
|
|
103
|
1.328
|
|
104
|
1.320
|
|
105
|
1.311
|
|
106
|
1.303
|
|
107
|
1.294
|
|
108
|
1.286
|
|
109
|
1.277
|
|
110
|
1.269
|
|
111
|
1.260
|
|
112
|
1.252
|
|
113
|
1.244
|
|
114
|
1.235
|
|
115
|
1.227
|
|
116
|
1.219
|
|
117
|
1.211
|
|
118
|
1.202
|
|
119
|
1.194
|
|
120
|
1.186
|
|
121
|
1.178
|
|
122
|
1.170
|
|
123
|
1.162
|
|
124
|
1.154
|
|
125
|
1.146
|
|
126
|
1.138
|
|
127
|
1.130
|
|
128
|
1.122
|
|
129
|
1.114
|
|
130
|
1.106
|
|
131
|
1.098
|
|
132
|
1.090
|
|
133
|
1.082
|
|
134
|
1.074
|
|
135
|
1.066
|
|
136
|
1.058
|
|
137
|
1.051
|
|
138
|
1.043
|
|
139
|
1.035
|
|
140
|
1.027
|
|
141
|
1.020
|
|
142
|
1.012
|
|
143
|
1.004
|
|
144
|
0.996
|
|
145
|
0.989
|
|
146
|
0.981
|
|
147
|
0.973
|
|
148
|
0.966
|
|
149
|
0.958
|
|
150
|
0.951
|
|
151
|
0.943
|
|
152
|
0.935
|
|
153
|
0.928
|
|
154
|
0.920
|
|
155
|
0.913
|
|
156
|
0.905
|
|
157
|
0.898
|
|
158
|
0.890
|
|
159
|
0.883
|
|
160
|
0.875
|
|
161
|
0.868
|
|
162
|
0.860
|
|
163
|
0.853
|
|
164
|
0.845
|
|
165
|
0.838
|
|
166
|
0.831
|
|
167
|
0.823
|
|
168
|
0.816
|
|
169
|
0.808
|
|
170
|
0.801
|
|
171
|
0.794
|
|
172
|
0.786
|
|
173
|
0.779
|
|
174
|
0.772
|
|
175
|
0.764
|
|
176
|
0.757
|
|
177
|
0.750
|
|
178
|
0.742
|
|
179
|
0.735
|
|
180
|
0.728
|
|
181
|
0.721
|
|
182
|
0.713
|
|
183
|
0.706
|
|
184
|
0.699
|
|
185
|
0.692
|
|
186
|
0.684
|
|
187
|
0.677
|
|
188
|
0.670
|
|
189
|
0.663
|
|
190
|
0.656
|
|
191
|
0.648
|
|
192
|
0.641
|
|
193
|
0.634
|
|
194
|
0.627
|
|
195
|
0.620
|
|
196
|
0.613
|
|
197
|
0.606
|
|
198
|
0.598
|
|
199
|
0.591
|
|
200
|
0.584
|
|
201
|
0.577
|
|
202
|
0.570
|
|
203
|
0.563
|
|
204
|
0.556
|
|
205
|
0.549
|
|
206
|
0.542
|
|
207
|
0.534
|
|
208
|
0.527
|
|
209
|
0.520
|
|
210
|
0.513
|
|
211
|
0.506
|
|
212
|
0.499
|
|
213
|
0.492
|
|
214
|
0.485
|
|
215
|
0.478
|
|
216
|
0.471
|
|
217
|
0.464
|
|
218
|
0.457
|
|
219
|
0.450
|
|
220
|
0.443
|
|
221
|
0.436
|
|
222
|
0.429
|
|
223
|
0.422
|
|
224
|
0.415
|
|
225
|
0.408
|
|
226
|
0.401
|
|
227
|
0.394
|
|
228
|
0.387
|
|
229
|
0.380
|
|
230
|
0.373
|
|
231
|
0.366
|
|
232
|
0.359
|
|
233
|
0.352
|
|
234
|
0.345
|
|
235
|
0.338
|
|
236
|
0.331
|
|
237
|
0.324
|
|
238
|
0.317
|
|
239
|
0.311
|
|
240
|
0.304
|
|
241
|
0.297
|
|
242
|
0.290
|
|
243
|
0.283
|
|
244
|
0.276
|
|
245
|
0.269
|
|
246
|
0.262
|
|
247
|
0.255
|
|
248
|
0.248
|
|
249
|
0.241
|
|
250
|
0.234
|
|
251
|
0.228
|
|
252
|
0.221
|
|
253
|
0.214
|
|
254
|
0.207
|
|
255
|
0.200
|
Plotting these values gives the curve of Figure D.2-3.
