DICOM PS3.14 2019a - Grayscale Standard Display Function

B Table of the Grayscale Standard Display Function (Informative)

The Grayscale Standard Display Function based on the Barten model was introduced in Section 7 and details are presented in Annex A above. This annex presents the Grayscale Standard Display Function as a table of values for Luminance as a function of the Just-Noticeable Difference Index for integer values of the Just-Noticeable Difference Index.

Table B-1. Grayscale Standard Display Function: Luminance versus JND Index

JND

L[cd/m 2]

JND

L[cd/m 2]

JND

L[cd/m 2]

JND

L[cd/m 2]

1

0.0500

2

0.0547

3

0.0594

4

0.0643

5

0.0696

6

0.0750

7

0.0807

8

0.0866

9

0.0927

10

0.0991

11

0.1056

12

0.1124

13

0.1194

14

0.1267

15

0.1342

16

0.1419

17

0.1498

18

0.1580

19

0.1664

20

0.1750

21

0.1839

22

0.1931

23

0.2025

24

0.2121

25

0.2220

26

0.2321

27

0.2425

28

0.2532

29

0.2641

30

0.2752

31

0.2867

32

0.2984

33

0.3104

34

0.3226

35

0.3351

36

0.3479

37

0.3610

38

0.3744

39

0.3880

40

0.4019

41

0.4161

42

0.4306

43

0.4454

44

0.4605

45

0.4759

46

0.4916

47

0.5076

48

0.5239

49

0.5405

50

0.5574

51

0.5746

52

0.5921

53

0.6100

54

0.6281

55

0.6466

56

0.6654

57

0.6846

58

0.7040

59

0.7238

60

0.7440

61

0.7644

62

0.7852

63

0.8064

64

0.8278

65

0.8497

66

0.8718

67

0.8944

68

0.9172

69

0.9405

70

0.9640

71

0.9880

72

1.0123

73

1.0370

74

1.0620

75

1.0874

76

1.1132

77

1.1394

78

1.1659

79

1.1928

80

1.2201

81

1.2478

82

1.2759

83

1.3044

84

1.3332

85

1.3625

86

1.3921

87

1.4222

88

1.4527

89

1.4835

90

1.5148

91

1.5465

92

1.5786

93

1.6111

94

1.6441

95

1.6775

96

1.7113

97

1.7455

98

1.7802

99

1.8153

100

1.8508

101

1.8868

102

1.9233

103

1.9601

104

1.9975

105

2.0352

106

2.0735

107

2.1122

108

2.1514

109

2.1910

110

2.2311

111

2.2717

112

2.3127

113

2.3543

114

2.3963

115

2.4388

116

2.4817

117

2.5252

118

2.5692

119

2.6137

120

2.6587

121

2.7041

122

2.7501

123

2.7966

124

2.8436

125

2.8912

126

2.9392

127

2.9878

128

3.0369

129

3.0866

130

3.1367

131

3.1875

132

3.2387

133

3.2905

134

3.3429

135

3.3958

136

3.4493

137

3.5033

138

3.5579

139

3.6131

140

3.6688

141

3.7252

142

3.7820

143

3.8395

144

3.8976

145

3.9563

146

4.0155

147

4.0754

148

4.1358

149

4.1969

150

4.2586

151

4.3209

152

4.3838

153

4.4473

154

4.5115

155

4.5763

156

4.6417

157

4.7078

158

4.7745

159

4.8419

160

4.9099

161

4.9785

162

5.0479

163

5.1179

164

5.1886

165

5.2599

166

5.3319

167

5.4046

168

5.4780

169

5.5521

170

5.6269

171

5.7024

172

5.7786

173

5.8555

174

5.9331

175

6.0114

176

6.0905

177

6.1702

178

6.2508

179

6.3320

180

6.4140

181

6.4968

182

6.5803

183

6.6645

184

6.7496

185

6.8354

186

6.9219

187

7.0093

188

7.0974

189

7.1863

190

7.2760

191

7.3665

192

7.4578

193

7.5500

194

7.6429

195

7.7366

196

7.8312

197

7.9266

198

8.0229

199

8.1199

200

8.2179

201

8.3167

202

8.4163

203

8.5168

204

8.6182

205

8.7204

206

8.8235

207

8.9275

208

9.0324

209

9.1382

210

9.2449

211

9.3525

212

9.4611

213

9.5705

214

9.6809

215

9.7922

216

9.9044

217

10.0176

218

10.1318

219

10.2469

220

10.3629

221

10.4800

222

10.5980

223

10.7169

224

10.8369

225

10.9579

226

11.0799

227

11.2028

228

11.3268

229

11.4518

230

11.5779

231

11.7050

232

11.8331

233

11.9622

234

12.0925

235

12.2237

236

12.3561

237

12.4895

238

12.6240

239

12.7596

240

12.8963

241

13.0341

242

13.1730

243

13.3130

244

13.4542

245

13.5965

246

13.7399

247

13.8844

248

14.0302

249

14.1770

250

14.3251

251

14.4743

252

14.6247

253

14.7763

254

14.9291

255

15.0831

256

15.2384

257

15.3948

258

15.5525

259

15.7114

260

15.8716

261

16.0330

262

16.1957

263

16.3596

264

16.5249

265

16.6914

266

16.8592

267

17.0283

268

17.1987

269

17.3705

270

17.5436

271

17.7180

272

17.8938

273

18.0709

274

18.2494

275

18.4293

276

18.6105

277

18.7931

278

18.9772

279

19.1626

280

19.3495

281

19.5378

282

19.7275

283

19.9187

284

20.1113

285

20.3054

286

20.5009

287

20.6980

288

20.8965

289

21.0966

290

21.2981

291

21.5012

292

21.7058

293

21.9120

294

22.1197

295

22.3289

296

22.5398

297

22.7522

298

22.9662

299

23.1818

300

23.3990

301

23.6179

302

23.8383

303

24.0605

304

24.2842

305

24.5097

306

24.7368

307

24.9656

308

25.1961

309

25.4283

310

25.6622

311

25.8979

312

26.1353

313

26.3744

314

26.6153

315

26.8580

316

27.1025

317

27.3488

318

27.5969

319

27.8468

320

28.0985

321

28.3521

322

28.6075

323

28.8648

324

29.1240

325

29.3851

326

29.6481

327

29.9130

328

30.1798

329

30.4486

330

30.7193

331

30.9920

332

31.2667

333

31.5434

334

31.8220

335

32.1027

336

32.3854

337

32.6702

338

32.9570

339

33.2459

340

33.5369

341

33.8300

342

34.1251

343

34.4224

344

34.7219

345

35.0235

346

35.3272

347

35.6332

348

35.9413

349

36.2516

350

36.5642

351

36.8790

352

37.1960

353

37.5153

354

37.8369

355

38.1608

356

38.4870

357

38.8155

358

39.1463

359

39.4795

360

39.8151

361

40.1530

362

40.4933

363

40.8361

364

41.1813

365

41.5289

366

41.8790

367

42.2316

368

42.5866

369

42.9442

370

43.3043

371

43.6669

372

44.0321

373

44.3998

374

44.7702

375

45.1431

376

45.5187

377

45.8969

378

46.2778

379

46.6613

380

47.0475

381

47.4365

382

47.8281

383

48.2225

384

48.6197

385

49.0196

386

49.4224

387

49.8279

388

50.2363

389

50.6475

390

51.0616

391

51.4786

392

51.8985

393

52.3213

394

52.7470

395

53.1757

396

53.6074

397

54.0421

398

54.4798

399

54.9205

400

55.3643

401

55.8112

402

56.2611

403

56.7142

404

57.1704

405

57.6298

406

58.0923

407

58.5581

408

59.0270

409

59.4992

410

59.9747

411

60.4534

412

60.9354

413

61.4208

414

61.9094

415

62.4015

416

62.8969

417

63.3958

418

63.8980

419

64.4037

420

64.9129

421

65.4256

422

65.9418

423

66.4615

424

66.9848

425

67.5117

426

68.0422

427

68.5763

428

69.1140

429

69.6555

430

70.2006

431

70.7495

432

71.3021

433

71.8585

434

72.4187

435

72.9827

436

73.5505

437

74.1222

438

74.6978

439

75.2773

440

75.8608

441

76.4482

442

77.0396

443

77.6351

444

78.2346

445

78.8381

446

79.4458

447

80.0576

448

80.6735

449

81.2936

450

81.9179

451

82.5464

452

83.1792

453

83.8163

454

84.4577

455

85.1034

456

85.7535

457

86.4079

458

87.0668

459

87.7302

460

88.3980

461

89.0703

462

89.7472

463

90.4286

464

91.1147

465

91.8053

466

92.5006

467

93.2006

468

93.9053

469

94.6147

470

95.3289

471

96.0480

472

96.7718

473

97.5005

474

98.2341

475

98.9726

476

99.7161

477

100.4646

478

101.2181

479

101.9767

480

102.7403

481

103.5091

482

104.2830

483

105.0621

484

105.8464

485

106.6359

486

107.4308

487

108.2309

488

109.0364

489

109.8473

490

110.6637

491

111.4854

492

112.3127

493

113.1455

494

113.9838

495

114.8278

496

115.6773

497

116.5326

498

117.3935

499

118.2602

500

119.1326

501

120.0109

502

120.8950

503

121.7850

504

122.6809

505

123.5828

506

124.4907

507

125.4047

508

126.3247

509

127.2508

510

128.1831

511

129.1215

512

130.0662

513

131.0172

514

131.9745

515

132.9381

516

133.9082

517

134.8847

518

135.8676

519

136.8571

520

137.8531

521

138.8557

522

139.8650

523

140.8810

524

141.9037

525

142.9331

526

143.9694

527

145.0125

528

146.0625

529

147.1195

530

148.1835

531

149.2545

532

150.3326

533

151.4178

534

152.5101

535

153.6097

536

154.7166

537

155.8307

538

156.9523

539

158.0812

540

159.2175

541

160.3614

542

161.5128

543

162.6718

544

163.8384

545

165.0128

546

166.1948

547

167.3847

548

168.5824

549

169.7880

550

171.0015

551

172.2230

552

173.4526

553

174.6902

554

175.9360

555

177.1900

556

178.4522

557

179.7227

558

181.0016

559

182.2889

560

183.5846

561

184.8889

562

186.2017

563

187.5232

564

188.8533

565

190.1921

566

191.5398

567

192.8963

568

194.2617

569

195.6360

570

197.0194

571

198.4119

572

199.8134

573

201.2242

574

202.6442

575

204.0735

576

205.5122

577

206.9603

578

208.4179

579

209.8851

580

211.3618

581

212.8482

582

214.3444

583

215.8503

584

217.3661

585

218.8919

586

220.4276

587

221.9733

588

223.5292

589

225.0952

590

226.6715

591

228.2581

592

229.8550

593

231.4624

594

233.0803

595

234.7088

596

236.3479

597

237.9977

598

239.6583

599

241.3297

600

243.0120

601

244.7054

602

246.4097

603

248.1252

604

249.8519

605

251.5899

606

253.3392

607

255.0999

608

256.8721

609

258.6559

610

260.4512

611

262.2583

612

264.0772

613

265.9079

614

267.7506

615

269.6052

616

271.4720

617

273.3509

618

275.2420

619

277.1455

620

279.0614

621

280.9897

622

282.9306

623

284.8841

624

286.8504

625

288.8294

626

290.8213

627

292.8262

628

294.8442

629

296.8752

630

298.9195

631

300.9770

632

303.0480

633

305.1324

634

307.2304

635

309.3420

636

311.4673

637

313.6065

638

315.7595

639

317.9266

640

320.1077

641

322.3030

642

324.5126

643

326.7365

644

328.9749

645

331.2278

646

333.4953

647

335.7776

648

338.0747

649

340.3867

650

342.7137

651

345.0558

652

347.4131

653

349.7858

654

352.1738

655

354.5773

656

356.9964

657

359.4312

658

361.8818

659

364.3483

660

366.8308

661

369.3294

662

371.8442

663

374.3754

664

376.9229

665

379.4869

666

382.0676

667

384.6650

668

387.2793

669

389.9105

670

392.5587

671

395.2241

672

397.9068

673

400.6069

674

403.3245

675

406.0596

676

408.8125

677

411.5833

678

414.3719

679

417.1787

680

420.0036

681

422.8468

682

425.7085

683

428.5886

684

431.4875

685

434.4051

686

437.3415

687

440.2970

688

443.2717

689

446.2655

690

449.2788

691

452.3116

692

455.3640

693

458.4361

694

461.5282

695

464.6402

696

467.7724

697

470.9249

698

474.0977

699

477.2911

700

480.5052

701

483.7400

702

486.9958

703

490.2726

704

493.5706

705

496.8900

706

500.2308

707

503.5932

708

506.9774

709

510.3835

710

513.8116

711

517.2619

712

520.7344

713

524.2294

714

527.7471

715

531.2874

716

534.8507

717

538.4370

718

542.0465

719

545.6793

720

549.3356

721

553.0155

722

556.7192

723

560.4469

724

564.1986

725

567.9746

726

571.7750

727

575.6000

728

579.4497

729

583.3242

730

587.2238

731

591.1486

732

595.0988

733

599.0744

734

603.0758

735

607.1030

736

611.1563

737

615.2357

738

619.3415

739

623.4738

740

627.6328

741

631.8187

742

636.0316

743

640.2717

744

644.5392

745

648.8343

746

653.1571

747

657.5079

748

661.8867

749

666.2939

750

670.7295

751

675.1937

752

679.6868

753

684.2089

754

688.7602

755

693.3409

756

697.9512

757

702.5913

758

707.2613

759

711.9615

760

716.6921

761

721.4531

762

726.2450

763

731.0678

764

735.9217

765

740.8070

766

745.7238

767

750.6723

768

755.6529

769

760.6655

770

765.7106

771

770.7882

772

775.8986

773

781.0420

774

786.2187

775

791.4287

776

796.6724

777

801.9500

778

807.2616

779

812.6075

780

817.9880

781

823.4031

782

828.8533

783

834.3386

784

839.8594

785

845.4158

786

851.0081

787

856.6365

788

862.3012

789

868.0025

790

873.7407

791

879.5158

792

885.3283

793

891.1783

794

897.0661

795

902.9919

796

908.9559

797

914.9585

798

920.9998

799

927.0801

800

933.1997

801

939.3588

802

945.5577

803

951.7966

804

958.0758

805

964.3956

806

970.7561

807

977.1578

808

983.6008

809

990.0853

810

996.6118

811

1003.1800

812

1009.7910

813

1016.4450

814

1023.1420

815

1029.8820

816

1036.6650

817

1043.4930

818

1050.3640

819

1057.2800

820

1064.2400

821

1071.2460

822

1078.2960

823

1085.3920

824

1092.5340

825

1099.7220

826

1106.9570

827

1114.2380

828

1121.5670

829

1128.9420

830

1136.3660

831

1143.8370

832

1151.3570

833

1158.9250

834

1166.5420

835

1174.2080

836

1181.9240

837

1189.6890

838

1197.5050

839

1205.3710

840

1213.2890

841

1221.2570

842

1229.2770

843

1237.3480

844

1245.4720

845

1253.6480

846

1261.8770

847

1270.1600

848

1278.4950

849

1286.8850

850

1295.3290

851

1303.8270

852

1312.3810

853

1320.9900

854

1329.6540

855

1338.3740

856

1347.1510

857

1355.9840

858

1364.8750

859

1373.8230

860

1382.8290

861

1391.8930

862

1401.0160

863

1410.1970

864

1419.4380

865

1428.7390

866

1438.1000

867

1447.5220

868

1457.0040

869

1466.5480

870

1476.1530

871

1485.8210

872

1495.5510

873

1505.3440

874

1515.2010

875

1525.1210

876

1535.1050

877

1545.1540

878

1555.2680

879

1565.4470

880

1575.6930

881

1586.0040

882

1596.3820

883

1606.8280

884

1617.3410

885

1627.9220

886

1638.5710

887

1649.2900

888

1660.0780

889

1670.9350

890

1681.8630

891

1692.8620

892

1703.9310

893

1715.0730

894

1726.2860

895

1737.5730

896

1748.9320

897

1760.3650

898

1771.8720

899

1783.4530

900

1795.1090

901

1806.8410

902

1818.6490

903

1830.5330

904

1842.4940

905

1854.5330

906

1866.6500

907

1878.8450

908

1891.1190

909

1903.4730

910

1915.9060

911

1928.4200

912

1941.0160

913

1953.6930

914

1966.4520

915

1979.2940

916

1992.2190

917

2005.2270

918

2018.3200

919

2031.4980

920

2044.7620

921

2058.1110

922

2071.5470

923

2085.0700

924

2098.6800

925

2112.3790

926

2126.1670

927

2140.0440

928

2154.0110

929

2168.0690

930

2182.2170

931

2196.4580

932

2210.7910

933

2225.2170

934

2239.7360

935

2254.3500

936

2269.0580

937

2283.8620

938

2298.7620

939

2313.7590

940

2328.8530

941

2344.0450

942

2359.3350

943

2374.7250

944

2390.2140

945

2405.8040

946

2421.4960

947

2437.2890

948

2453.1850

949

2469.1840

950

2485.2860

951

2501.4940

952

2517.8060

953

2534.2250

954

2550.7500

955

2567.3820

956

2584.1230

957

2600.9720

958

2617.9310

959

2634.9990

960

2652.1790

961

2669.4710

962

2686.8740

963

2704.3910

964

2722.0220

965

2739.7670

966

2757.6270

967

2775.6040

968

2793.6970

969

2811.9080

970

2830.2380

971

2848.6870

972

2867.2550

973

2885.9440

974

2904.7550

975

2923.6880

976

2942.7450

977

2961.9250

978

2981.2300

979

3000.6600

980

3020.2170

981

3039.9020

982

3059.7140

983

3079.6550

984

3099.7260

985

3119.9270

986

3140.2600

987

3160.7260

988

3181.3240

989

3202.0570

990

3222.9240

991

3243.9280

992

3265.0680

993

3286.3460

994

3307.7620

995

3329.3180

996

3351.0140

997

3372.8520

998

3394.8310

999

3416.9540

1000

3439.2210

1001

3461.6330

1002

3484.1910

1003

3506.8970

1004

3529.7500

1005

3552.7520

1006

3575.9030

1007

3599.2060

1008

3622.6610

1009

3646.2680

1010

3670.0300

1011

3693.9460

1012

3718.0180

1013

3742.2480

1014

3766.6350

1015

3791.1810

1016

3815.8880

1017

3840.7550

1018

3865.7850

1019

3890.9780

1020

3916.3350

1021

3941.8580

1022

3967.5470

1023

3993.4040


DICOM PS3.14 2019a - Grayscale Standard Display Function