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Digital Image Processing:
Introduction
Dr Ahmad Hassanat
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Introduction

“One picture is worth more than ten
thousand words”
Anonymous
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References
“Digital Image Processing”, Rafael C.
Gonzalez & Richard E. Woods,
Addison-Wesley, 2002
– Support reference

“Machine Vision: Automated Visual
Inspection and Robot Vision”, David
Vernon, Prentice Hall, 1991
– Available online at:
homepages.inf.ed.ac.uk/rbf/BOOKS/VERNON/
– Google.com
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Contents
This lecture will cover:
– What is a digital image?
– What is digital image processing?
– History of digital image processing
– State of the art examples of digital image
processing
– Key stages in digital image processing
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What is a Digital Image?
A digital image is a representation of a twodimensional image as a finite set of digital
values, called picture elements or pixels
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What is a Digital Image? (cont…)
Pixel values typically represent gray levels,
colours, heights, etc
Remember digitization implies that a digital
image is an approximation of a real scene
1 pixel
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What is a Digital Image? (cont…)
Common image formats include:
– 1 sample per point (B&W or Grayscale)
– 3 samples per point (Red, Green, and Blue)
– 4 samples per point (Red, Green, Blue, and “Alpha”,
a.k.a. Opacity)

For most of this course we will focus on grey-scale
images
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What is Digital Image Processing?
Digital image processing focuses on two
major tasks
– Improvement of pictorial information for
human interpretation
– Processing of image data for storage,
transmission and representation for
autonomous machine perception

Some argument about where image
processing ends and fields such as image
analysis and computer vision start
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What is DIP? (cont…)
‫التواصل‬

The continuum from image processing to
computer vision can be broken up into low-,
mid- and high-level processes
Low Level Process

Mid Level Process

High Level Process

Input: Image
Output: Image

Input: Image
Output: Attributes

Input: Attributes
Output: Understanding

Examples: Noise
removal, image
sharpening

Examples: Object
recognition,
segmentation

Examples: Scene
understanding,
autonomous navigation

In this course we will
stop here
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History of Digital Image Processing
Early 1920s: One of the first applications of
digital imaging was in the newspaper industry
– The Bartlane cable picture
Early digital image
transmission service
– Images were transferred by submarine cable
between London and New York
– Pictures were coded for cable transfer and
reconstructed at the receiving end on a
telegraph printer
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History of DIP (cont…)
Mid to late 1920s: Improvements to the
Bartlane system resulted in higher quality
images
– New reproduction
processes based
on photographic
techniques
– Increased number
of tones in
reproduced images

Improved
digital image

Early 15 tone digital
image
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History of DIP (cont…)
1960s: Improvements in computing
technology and the onset of the space race
led to a surge of work in digital image
processing
– 1964: Computers used to
improve the quality of
images of the moon taken
by the Ranger 7 probe
– Such techniques were used
in other space missions
including the Apollo landings

A picture of the moon taken
by the Ranger 7 probe
minutes before landing
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History of DIP (cont…)
1970s: Digital image processing begins to
be used in medical applications
– 1979: Sir Godfrey N.
Hounsfield & Prof. Allan M.
Cormack share the Nobel
Prize in medicine for the
invention of tomography,
the technology behind
Computerised Axial
Tomography (CAT) scans

Typical head slice CAT
image
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History of DIP (cont…)
1980s - Today: The use of digital image
processing techniques has exploded and
they are now used for all kinds of tasks in all
kinds of areas
– Image enhancement/restoration
– Artistic effects
– Medical visualisation
– Industrial inspection
– Law enforcement
– Human computer interfaces
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Examples: Image Enhancement
One of the most common uses of DIP
techniques: improve quality, remove noise
etc
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Examples: The Hubble Telescope
Launched in 1990 the Hubble
telescope can take images of
very distant objects
However, an incorrect mirror
made many of Hubble’s
images useless
Image processing
techniques were
used to fix this
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Examples: Artistic Effects
Artistic effects are
used to make
images more
visually appealing,
to add special
effects and to make
composite images
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Examples: Medicine
Take slice from MRI scan of canine heart,
and find boundaries between types of tissue
– Image with gray levels representing tissue
density
– Use a suitable filter to highlight edges

Original MRI Image of a Dog Heart

Edge Detection Image
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Examples: GIS
Geographic Information Systems
– Digital image processing techniques are used
extensively to manipulate satellite imagery
– Terrain classification
– Meteorology
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Examples: GIS (cont…)
Night-Time Lights of
the World data set
– Global inventory of
human settlement
– Not hard to imagine
the kind of analysis
that might be done
using this data
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Examples: Industrial Inspection
Human operators are
expensive, slow and
unreliable
Make machines do the
job instead
Industrial vision systems
are used in all kinds of
industries
Can we trust them?
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Examples: PCB Inspection
Printed Circuit Board (PCB) inspection
– Machine inspection is used to determine that
all components are present and that all solder
joints are acceptable solder joints: ‫وصل اللحام‬
– Both conventional imaging and x-ray imaging
are used
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Examples: Law Enforcement
Image processing
techniques are used
extensively by law
enforcers
– Number plate
recognition for speed
cameras/automated
toll systems
– Fingerprint recognition
– Enhancement of
CCTV images
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Examples: HCI

Try to make human
computer interfaces more
natural
– Face recognition
– Gesture recognition

These tasks can be
extremely difficult

‫التعرف على‬
‫الميماءات‬
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Key Stages in Digital Image Processing
Image
Restoration
‫ترميم الصورة‬

Morphological
Processing

Image ‫تحسين الصوره‬
Enhancement

Segmentation

Image ‫الحصول على‬
Acquisition ‫الصوره‬

Object
Recognition

Representation
& Description

Problem Domain
Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Image Aquisition
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Image Enhancement
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Image Restoration
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Image Restoration - Examples

Distorted image

Geometrically distorted image

Restored image

Restored image
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Image Restoration – De-noising
Noisy images

Restored “Clean” images
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Key Stages in Digital Image Processing:
Morphological Processing
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Segmentation
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Object Recognition
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Representation & Description
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Key Stages in Digital Image Processing:
Image Compression
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Image Compression

JPEG Compression)

Original image

JPEG2000 Compression
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Key Stages in Digital Image Processing:
Colour Image Processing
Image
Restoration

Morphological
Processing

Image
Enhancement

Segmentation

Image
Acquisition

Object
Recognition

Problem Domain

Representation
& Description

Colour Image
Processing

Image
Compression
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Digitising an image
To convert the continuous function f(x,y) to digital form we need to
sample the continuous sensed data in both coordinates and in
amplitude using finite and discrete sets of values.
– Digitizing the coordinate values is called sampling.
– Digitizing the amplitude values is called quantisation.
The number of selected values in the sampling process is known as
the image spatial resolution. This is simply the number of pixels
relative to the given image area
The number of selected values in the quantisation process is called
the grey-level (colour level) resolution. This is expressed in terms
of the number of bits allocated to the colour levels.
The quality of a digitised image depends the resolution parameters
on both processes.
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Digital image Representaion – Revised
A monochrome digital image is a 2-dimensional light intensity
function f (x,y) whose independent variables (x,y) are digitised
through spatial sampling, and whose intensity values are
quantised by a finite uniformly spread grey-levels. i.e. an image f
can be represented as a 2-dimentional array:
f(1,1)

f(1,3)

…

f(1,n)

f(2,1)

f(2,2)

f(2,3)

…

f(2,n)

f(3,1)

f(3,2)

f(3,3)

…

f(3,n)

:
:

f=

f(1,2)

:
:

:
:

:
:

:
:

f(m,2)

f(m,3)

…

f(m,n)

f(m,1)

Usually, m=n and the number of graylevels are g=2k for some k. The
spatial resolution is mn and g is the greylevel resolution.
RGB based colour images are represented similarly except that f(i,j)
is a 3D vector representing intensity of the three primary colors at
the (i,j) pixel posiotion,
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Spatial Resolution
The spatial resolution of a digital image reflects the amount
of details that one can see in the image (i.e. the ratio of
pixel “area” to the area of the image display).
If an image is spatially sampled at mxn pixels, then the
larger mn the finer the observed details.
For a fixed image area, the noticeable image quality is
directly proportional to the value of mn results.
Reduced spatial resolution, within the same area, may
result in what is known as Checkerboard pattern.
However beyond a certain fine spatial resolution, the
human eye may not be able to notice improved quality.
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Spatial Resolution Vs Image Quality
Decreasing spatial resolution reduces image quality proportionally Checkerboard pattern.

† Images extracted from DIP, 2nd Edition, Gonzalez & Woods, PH.
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Spatial Resolution Vs Image Quality - continued

The checkerboard effect is not visible if a lower–resolution
image is displayed in a proportionately small window.
Effect of grey level resolution

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123
137
Image f = 151
205
250

162
157
155
101
50

200
165
152
100
75
8 bits

147
232
141
193
88

93
189
130
115
100

f(i,j)← int(f(i,j)/2)

30
34
37
51
62

40
39
38
25
12

50
41
38
25
18
6 bits

36
58
35
48
21

23
47
32
28
25

15
17
18
25
31

20
19
19
12
6

3
4
4
6
7

5
4
4
3
1

6
5
4
3
2
3 bits

4
7
4
6
2

2
5
4
3
3

1
2
2
3
3

2
2
2
1
0

25
20
19
12
9
5 bits

3
2
2
1
1
2 bits

61
68
75
102
125

80
78
77
50
25

100
73
82
116
76
70
50
96
37
43
7 bits

18
29
17
24
10

11
23
16
14
12

7
8
9
12
15

10
9
9
6
3

12
9
10
14
9
8
6
12
4
5
4 bits

2
3
2
3
1

1
2
2
1
1

0
1
1
1
1

1
1
1
0
0

1
1
1
0
0
1 bits

1
1
1
1
0

Original image f is reasonably bright, but gradually the pixels get
darker as the Grey-level resolution decreases.

46
94
65
57
50

5
11
8
7
6

0
1
1
0
0
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Effect of grey level resolution

8 bits

5 bits

2 bits

7 bits

6 bits

4 bits

3 bits

1 bit

0 bits !!!
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Zooming and Resizing
It is the scaling of an image area A of wxh pixels by a factor s while
maintaing spatial resolution (i.e. output has sw×sh pixels).
First we need a linear scaling function S to map the coordinates of
new pixels onto the original pixel grid of A.
For each (x,y) in the resized area, we need to interpolate the gray
value sf(x,y) in terms of the pixels values in A that neighbour the
point S(x,y). Different models of approximations are used.

S(A)

A

Example: Scaling A by a factor s=1.5
Zooming and Resizing - Continued

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Interpolation schemes include:
– Nearest neighbour : sf(x,y) is gray value of its nearest pixel in A.
– Bilinear : sf(x,y) is weighted average gray value of its 4 neighbouring
pixels

Checkerboard effect

Blurring effect

•

Images are zoomed from 128x128, 64x64 and 32x32 sizes to 1024x1024. Top row
use the nearest neighbour interpolation, bottom row use Bilinear interpolation.
Image files Format

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Image files consists of two parts:


A header found at the start of the file and consisting of
parameters regarding:
 Number of rows (height)
 Number of columns (width)
 Number of bands (i.e. colors)
 Number of bits per pixel (bpp)
 File type



Image data which lists all pixel values (vectors) on the
first row, followed by 2nd row, and so on.

 Common image file formats include :
BIN, RAW, BMP, JPEG, TIFF, GIF, PPM, PBM, PGM, …
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Digital Image Processing system components

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Digital Image Processing_ ch1 introduction-2003

  • 2. 2 of 36 Introduction “One picture is worth more than ten thousand words” Anonymous
  • 3. 3 of 36 References “Digital Image Processing”, Rafael C. Gonzalez & Richard E. Woods, Addison-Wesley, 2002 – Support reference “Machine Vision: Automated Visual Inspection and Robot Vision”, David Vernon, Prentice Hall, 1991 – Available online at: homepages.inf.ed.ac.uk/rbf/BOOKS/VERNON/ – Google.com
  • 4. 4 of 36 Contents This lecture will cover: – What is a digital image? – What is digital image processing? – History of digital image processing – State of the art examples of digital image processing – Key stages in digital image processing
  • 5. 5 of 36 What is a Digital Image? A digital image is a representation of a twodimensional image as a finite set of digital values, called picture elements or pixels
  • 6. 6 of 36 What is a Digital Image? (cont…) Pixel values typically represent gray levels, colours, heights, etc Remember digitization implies that a digital image is an approximation of a real scene 1 pixel
  • 7. 7 of 36 What is a Digital Image? (cont…) Common image formats include: – 1 sample per point (B&W or Grayscale) – 3 samples per point (Red, Green, and Blue) – 4 samples per point (Red, Green, Blue, and “Alpha”, a.k.a. Opacity) For most of this course we will focus on grey-scale images
  • 8. 8 of 36 What is Digital Image Processing? Digital image processing focuses on two major tasks – Improvement of pictorial information for human interpretation – Processing of image data for storage, transmission and representation for autonomous machine perception Some argument about where image processing ends and fields such as image analysis and computer vision start
  • 9. 9 of 36 What is DIP? (cont…) ‫التواصل‬ The continuum from image processing to computer vision can be broken up into low-, mid- and high-level processes Low Level Process Mid Level Process High Level Process Input: Image Output: Image Input: Image Output: Attributes Input: Attributes Output: Understanding Examples: Noise removal, image sharpening Examples: Object recognition, segmentation Examples: Scene understanding, autonomous navigation In this course we will stop here
  • 10. 10 of 36 History of Digital Image Processing Early 1920s: One of the first applications of digital imaging was in the newspaper industry – The Bartlane cable picture Early digital image transmission service – Images were transferred by submarine cable between London and New York – Pictures were coded for cable transfer and reconstructed at the receiving end on a telegraph printer
  • 11. 11 of 36 History of DIP (cont…) Mid to late 1920s: Improvements to the Bartlane system resulted in higher quality images – New reproduction processes based on photographic techniques – Increased number of tones in reproduced images Improved digital image Early 15 tone digital image
  • 12. 12 of 36 History of DIP (cont…) 1960s: Improvements in computing technology and the onset of the space race led to a surge of work in digital image processing – 1964: Computers used to improve the quality of images of the moon taken by the Ranger 7 probe – Such techniques were used in other space missions including the Apollo landings A picture of the moon taken by the Ranger 7 probe minutes before landing
  • 13. 13 of 36 History of DIP (cont…) 1970s: Digital image processing begins to be used in medical applications – 1979: Sir Godfrey N. Hounsfield & Prof. Allan M. Cormack share the Nobel Prize in medicine for the invention of tomography, the technology behind Computerised Axial Tomography (CAT) scans Typical head slice CAT image
  • 14. 14 of 36 History of DIP (cont…) 1980s - Today: The use of digital image processing techniques has exploded and they are now used for all kinds of tasks in all kinds of areas – Image enhancement/restoration – Artistic effects – Medical visualisation – Industrial inspection – Law enforcement – Human computer interfaces
  • 15. 15 of 36 Examples: Image Enhancement One of the most common uses of DIP techniques: improve quality, remove noise etc
  • 16. 16 of 36 Examples: The Hubble Telescope Launched in 1990 the Hubble telescope can take images of very distant objects However, an incorrect mirror made many of Hubble’s images useless Image processing techniques were used to fix this
  • 17. 17 of 36 Examples: Artistic Effects Artistic effects are used to make images more visually appealing, to add special effects and to make composite images
  • 18. 18 of 36 Examples: Medicine Take slice from MRI scan of canine heart, and find boundaries between types of tissue – Image with gray levels representing tissue density – Use a suitable filter to highlight edges Original MRI Image of a Dog Heart Edge Detection Image
  • 19. 19 of 36 Examples: GIS Geographic Information Systems – Digital image processing techniques are used extensively to manipulate satellite imagery – Terrain classification – Meteorology
  • 20. 20 of 36 Examples: GIS (cont…) Night-Time Lights of the World data set – Global inventory of human settlement – Not hard to imagine the kind of analysis that might be done using this data
  • 21. 21 of 36 Examples: Industrial Inspection Human operators are expensive, slow and unreliable Make machines do the job instead Industrial vision systems are used in all kinds of industries Can we trust them?
  • 22. 22 of 36 Examples: PCB Inspection Printed Circuit Board (PCB) inspection – Machine inspection is used to determine that all components are present and that all solder joints are acceptable solder joints: ‫وصل اللحام‬ – Both conventional imaging and x-ray imaging are used
  • 23. 23 of 36 Examples: Law Enforcement Image processing techniques are used extensively by law enforcers – Number plate recognition for speed cameras/automated toll systems – Fingerprint recognition – Enhancement of CCTV images
  • 24. 24 of 36 Examples: HCI Try to make human computer interfaces more natural – Face recognition – Gesture recognition These tasks can be extremely difficult ‫التعرف على‬ ‫الميماءات‬
  • 25. 25 of 36 Key Stages in Digital Image Processing Image Restoration ‫ترميم الصورة‬ Morphological Processing Image ‫تحسين الصوره‬ Enhancement Segmentation Image ‫الحصول على‬ Acquisition ‫الصوره‬ Object Recognition Representation & Description Problem Domain Colour Image Processing Image Compression
  • 26. 26 of 36 Key Stages in Digital Image Processing: Image Aquisition Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 27. 27 of 36 Key Stages in Digital Image Processing: Image Enhancement Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 28. 28 of 36 Key Stages in Digital Image Processing: Image Restoration Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 29. 29 of 36 Image Restoration - Examples Distorted image Geometrically distorted image Restored image Restored image
  • 30. 30 of 36 Image Restoration – De-noising Noisy images Restored “Clean” images
  • 31. 31 of 36 Key Stages in Digital Image Processing: Morphological Processing Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 32. 32 of 36 Key Stages in Digital Image Processing: Segmentation Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 33. 33 of 36 Key Stages in Digital Image Processing: Object Recognition Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 34. 34 of 36 Key Stages in Digital Image Processing: Representation & Description Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 35. 35 of 36 Key Stages in Digital Image Processing: Image Compression Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 37. 37 of 36 Key Stages in Digital Image Processing: Colour Image Processing Image Restoration Morphological Processing Image Enhancement Segmentation Image Acquisition Object Recognition Problem Domain Representation & Description Colour Image Processing Image Compression
  • 38. 38 of 36 Digitising an image To convert the continuous function f(x,y) to digital form we need to sample the continuous sensed data in both coordinates and in amplitude using finite and discrete sets of values. – Digitizing the coordinate values is called sampling. – Digitizing the amplitude values is called quantisation. The number of selected values in the sampling process is known as the image spatial resolution. This is simply the number of pixels relative to the given image area The number of selected values in the quantisation process is called the grey-level (colour level) resolution. This is expressed in terms of the number of bits allocated to the colour levels. The quality of a digitised image depends the resolution parameters on both processes.
  • 39. 39 of 36 Digital image Representaion – Revised A monochrome digital image is a 2-dimensional light intensity function f (x,y) whose independent variables (x,y) are digitised through spatial sampling, and whose intensity values are quantised by a finite uniformly spread grey-levels. i.e. an image f can be represented as a 2-dimentional array: f(1,1) f(1,3) … f(1,n) f(2,1) f(2,2) f(2,3) … f(2,n) f(3,1) f(3,2) f(3,3) … f(3,n) : : f= f(1,2) : : : : : : : : f(m,2) f(m,3) … f(m,n) f(m,1) Usually, m=n and the number of graylevels are g=2k for some k. The spatial resolution is mn and g is the greylevel resolution. RGB based colour images are represented similarly except that f(i,j) is a 3D vector representing intensity of the three primary colors at the (i,j) pixel posiotion,
  • 40. 40 of 36 Spatial Resolution The spatial resolution of a digital image reflects the amount of details that one can see in the image (i.e. the ratio of pixel “area” to the area of the image display). If an image is spatially sampled at mxn pixels, then the larger mn the finer the observed details. For a fixed image area, the noticeable image quality is directly proportional to the value of mn results. Reduced spatial resolution, within the same area, may result in what is known as Checkerboard pattern. However beyond a certain fine spatial resolution, the human eye may not be able to notice improved quality.
  • 41. 41 of 36 Spatial Resolution Vs Image Quality Decreasing spatial resolution reduces image quality proportionally Checkerboard pattern. † Images extracted from DIP, 2nd Edition, Gonzalez & Woods, PH.
  • 42. 42 of 36 Spatial Resolution Vs Image Quality - continued The checkerboard effect is not visible if a lower–resolution image is displayed in a proportionately small window.
  • 43. Effect of grey level resolution 43 of 36 123 137 Image f = 151 205 250 162 157 155 101 50 200 165 152 100 75 8 bits 147 232 141 193 88 93 189 130 115 100 f(i,j)← int(f(i,j)/2) 30 34 37 51 62 40 39 38 25 12 50 41 38 25 18 6 bits 36 58 35 48 21 23 47 32 28 25 15 17 18 25 31 20 19 19 12 6 3 4 4 6 7 5 4 4 3 1 6 5 4 3 2 3 bits 4 7 4 6 2 2 5 4 3 3 1 2 2 3 3 2 2 2 1 0 25 20 19 12 9 5 bits 3 2 2 1 1 2 bits 61 68 75 102 125 80 78 77 50 25 100 73 82 116 76 70 50 96 37 43 7 bits 18 29 17 24 10 11 23 16 14 12 7 8 9 12 15 10 9 9 6 3 12 9 10 14 9 8 6 12 4 5 4 bits 2 3 2 3 1 1 2 2 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 bits 1 1 1 1 0 Original image f is reasonably bright, but gradually the pixels get darker as the Grey-level resolution decreases. 46 94 65 57 50 5 11 8 7 6 0 1 1 0 0
  • 44. 44 of 36 Effect of grey level resolution 8 bits 5 bits 2 bits 7 bits 6 bits 4 bits 3 bits 1 bit 0 bits !!!
  • 45. 45 of 36 Zooming and Resizing It is the scaling of an image area A of wxh pixels by a factor s while maintaing spatial resolution (i.e. output has sw×sh pixels). First we need a linear scaling function S to map the coordinates of new pixels onto the original pixel grid of A. For each (x,y) in the resized area, we need to interpolate the gray value sf(x,y) in terms of the pixels values in A that neighbour the point S(x,y). Different models of approximations are used. S(A) A Example: Scaling A by a factor s=1.5
  • 46. Zooming and Resizing - Continued 46 of 36 Interpolation schemes include: – Nearest neighbour : sf(x,y) is gray value of its nearest pixel in A. – Bilinear : sf(x,y) is weighted average gray value of its 4 neighbouring pixels Checkerboard effect Blurring effect • Images are zoomed from 128x128, 64x64 and 32x32 sizes to 1024x1024. Top row use the nearest neighbour interpolation, bottom row use Bilinear interpolation.
  • 47. Image files Format 47 of 36 Image files consists of two parts:  A header found at the start of the file and consisting of parameters regarding:  Number of rows (height)  Number of columns (width)  Number of bands (i.e. colors)  Number of bits per pixel (bpp)  File type  Image data which lists all pixel values (vectors) on the first row, followed by 2nd row, and so on.  Common image file formats include : BIN, RAW, BMP, JPEG, TIFF, GIF, PPM, PBM, PGM, …

Hinweis der Redaktion

  1. Real world is continuous – an image is simply a digital approximation of this.
  2. Give the analogy of the character recognition system. Low Level: Cleaning up the image of some text Mid level: Segmenting the text from the background and recognising individual characters High level: Understanding what the text says