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Digital image processing

All lectures: All lectures on the discipline: digital image processing are collected here. These fascinating lectures provide us with the opportunity to explore the deep principles and phenomena underlying our knowledge and our desire to understand the world.


1. Foreword
2. Part 1. CONTINUOUS IMAGES Chapter 1. MATHEMATICAL DESCRIPTION OF CONTINUOUS IMAGES
3. 1.1. PRESENTATION OF CONTINUOUS IMAGES
4. 1.2. TWO-DIMENSIONAL SYSTEMS
5. 1.3. SINGULAR OPERATORS
6. 1.4. LINEAR OPERATORS
7. 1.5. DIFFERENTIAL OPERATORS
8. 1.6. TWO DIMENSIONAL FOURIER TRANSFORMATION
9. 1.7. ANALYSIS OF LINEAR SYSTEMS WITH THE HELP OF FOURIER TRANSFORMATION
10. 1.8. GENERALIZED LINEAR SYSTEMS
11. 1.9. PROBABLE DESCRIPTION OF CONTINUOUS IMAGES
12. 1.10. TRANSFORMATION OF RANDOM IMAGES IN THE IMAGE SYSTEM
13. Chapter 2. PSYCHOPHYSICAL PROPERTIES OF VISION
14. 2.1. PERCEPTION OF LIGHT
15. 2.2. EYE
16. 2.3. VISUAL PHENOMENA
17. 2.4. MODEL OF SINGLE COLOR VISION
18. 2.5. COLOR VISION MODEL
19. Chapter 3. PHOTOMETRY AND COLORIMETRY
20. 3.1. SOURCES OF LIGHT
21. 3.2. PHOTOMETRY
22. 3.3. EQUALIZATION OF FLOWERS
23. 3.3.2. SUBTRACTIVE FLOWER EQUALIZATION
24. 3.3.3. AXIOMS ​​OF FLOWER EQUALIZATION
25. 3.4. COLORIMETRY
26. 3.4.1. CHECKING THE MODEL OF COLOR VISION
27. 3.4.2. CALCULATION COLOR CALCULATION
28. 3.4.3. BRIGHTNESS CALCULATION
29. 3.5. COORDINATE COLOR TRANSFORMATION
30. 3.6. COORDINATE COLOR SYSTEMS
31. 3.7. COLOR BODY
32. 3.7.1. LIMITATION OF POLARITY COORDINATE COLOR
33. 3.7.2. LIMITATION OF BRIGHTNESS RANGE
34. Part 2. SUBMISSION OF IMAGES IN A DIGITAL FORM Chapter 4. DISCRETIZATION AND RESTORATION OF CONTINUOUS IMAGES
35. 4.1. PROCESSES OF IDEAL DISCRETIZATION AND RESTORATION OF CONTINUOUS IMAGES
36. 4.1.2. DISCRETIZATION OF RANDOM IMAGES
37. 4.2. REAL DISCRETIZATION SYSTEMS IMAGES
38. 4.2.1. INFLUENCE OF THE FORM OF DISCRETIZING PULSE
39. 4.2.2. EFFECTS ASSOCIATED WITH THE IMPACT OF SPECTRA
40. 4.3. REAL IMAGE RECOVERY SYSTEMS
41. 4.3.1. METHODS OF REPRODUCTION OF IMAGES
42. 4.3.2. INTERPOLATION FUNCTIONS
43. 4.3.3. INFLUENCE OF IMMEDIATE RESTORING FILTERS
44. Chapter 5. MATHEMATICAL DESCRIPTION OF DISCRETE IMAGES
45. 5.2. SINGULAR DECOMPOSITION OF THE MATRIX
46. 5.3. VECTOR REPRESENTATION OF IMAGES
47. 5.4. STATISTICAL DESCRIPTION OF DISCRETE IMAGES
48. 5.5. MODELS OF DENSITY OF PROBABILITY OF DISCRETE IMAGES
49. Chapter 6. QUANTIZATION OF IMAGES
50. 6.2. QUANTIZATION OF VECTOR VALUES
51. 6.3. PROCESSING OF QUANTIZED VALUES
52. 6.4. QUANTIZATION OF SINGLE-COLOR IMAGES
53. 6.5. QUANTIZATION OF COLOR IMAGES
54. Chapter 7. MEASURES OF QUALITY DISCRETED IMAGES
55. 7.1. SUBJECTIVE IMAGE QUALITY ASSESSMENT
56. 7.2. QUALITY EVALUATION BY CONTROL SIGNALS AND TESTING CHARTS
57. 7.3. BLINDS AND COLORS
58. 7.3.2. COLOR METRICS
59. 7.4. FIDELITY REPRODUCTION OF SINGLE-COLOR IMAGES
60. 7.5. FIDELITY REPRODUCTION OF COLOR IMAGES
61. 7.6. ENTROPY IMAGES
62. 7.7. SPEED OF CREATING INFORMATION BY THE SOURCE OF IMAGES
63. 7.8. IMPORTABLE IMAGES
64. Part 3. DISCRETE LINEAR TWO-DIMENSIONAL TREATMENT
65. 8.1. GENERALIZED LINEAR OPERATOR
66. 8.2. STATISTICAL DESCRIPTION OF IMAGES UNDER LINEAR TRANSFORMATION
67. 8.3. OPERATORS PEDALMATION
68. 8.4. SOLUTION OF SYSTEMS OF LINEAR EQUATIONS
69. 8.5. SOLUTION OF JOINT SYSTEMS OF LINEAR EQUATIONS
70. 8.6. APPROXIMATE SOLUTIONS OF INCOMPATIBLE SYSTEMS OF LINEAR EQUATIONS
71. 9. OPERATOR SUPERPOSITION
72. 9.1. OPERATOR OF SUPERPOSITION OF FINITE MASSIFIES
73. 9.2. DISCRETED SUPERPOSITION OPERATOR
74. 9.3. OPERATOR OF CYCLIC SUPERPOSITION
75. 9.4. RELATIONSHIP BETWEEN LINEAR OPERATORS
76. 10. TWO-DIMENSIONAL UNITARY TRANSFORMATIONS
77. 10.1. OPERATORS OF UNITARY TRANSFORMATIONS
78. 10.2. Fourier transform
79. 10.3. COSINUS CONVERSIONS
80. 10.4. SINUS TRANSFORMATION
81. 10.5. TRANSFORMATION ADAMARA
82. 10.6. HAAR TRANSFORMATION
83. 10.7. TILTED TRANSFORMATION
84. 10.8. TRANSFORMATION OF KARUNEN-LOEVA
85. 10.9. SINGULAR CONVERSION
86. 10.10. ALGORITHMS OF CALCULATIONS
87. 10.11. STATISTICAL ANALYSIS OF TRANSFORMED IMAGES
88. 10.12. MODELS OF THE DENSITY OF PROBABILITY OF TRANSFORMED IMAGES
89. 11. TWO-DIMENSIONAL METHODS OF LINEAR TREATMENT
90. 11.1. PROCESSING USING THE TRANSFORMATION
91. 11.2. SUPERPOSITION WITH TRANSFORMATION
92. 11.3. Convolution using FFT
93. 11.4. FILTERS BASED ON FOURIER TRANSFORMATION
94. 11.5. Pseudo-reincarnation
95. 11.6. RECURSIVE FILTRATION