DICOM PS3.14 2019e - Grayscale Standard Display Function

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.

Plot of OD vs P-Value for an 8-Bit Printer

Figure D.2-3. Plot of OD vs P-Value for an 8-Bit Printer


DICOM PS3.14 2019e - Grayscale Standard Display Function