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SPATIAL FEATURE
MANIPULATION
ABIN V. ARKKATTU
Image enhancement is the process of making
images more useful.
The reasons for doing this include:
Highlighting interesting detail in images
Removing noise from images
Making images more visually appealing
Methods of Enhancement
 1. Contrast manipulation
 Contrast stretching = expand the DN values beyond
their natural range to fill the 0-255 range.
 2. Spatial feature manipulation
 Refers to image texture.




Smooth areas have low spatial frequencies, gray values
change gradually.
Rough areas have high spatial frequencies and gray values
change abruptly.
Methods of Enhancement
 3. Multi-image manipulation.
 Two or more images combined
mathematically, commonly by ratios.
 Used to develop green vegetative index images, e.g., the
NDVI.
SPATIAL FEATURE MANIPULATION
 SPATIAL FILTERING
 CONVOLUTION
 EDGE ENHANCEMENT

 DIRECTIONAL FIRST DIFFRENCING
 FOURIER ANALYSIS
Filters
 Low-pass filter –
 designed to emphasize larger, homogeneous areas of similar tone

and reduce smaller detail.
 low-pass filters smooth the appearance of an image.

 High-pass filters do the opposite –

 sharpen the appearance of fine detail in an image.
 Directional, or edge detection filters are designed to highlight

linear features, such as roads or field boundaries.
 enhance features which are oriented in specific directions.
 useful for detection of linear geologic structures.
Original image

Low frequency component
image

High frequency component
image
Low Pass Filter
Image Frequencies
• Low Frequency Components = Slow
Changes in Pixel Intensity
• regions of uniform intensity
High Frequency component
of image and filtering

•High Frequency Components
= Rapid Changes in Pixel
Intensity
•regions with lots of details
High
Frequency
Component
Convolution
Spatial filtering is but one spatial application of the generic image processing
operation called convolution. Convolving an image involves the following procedures.

•A moving window is established that contains an array of coefficients or weighing
factors. Such arrays are referred to as operators or kernels , and they are normally an
odd number of pixels in size (eg. 3 x 3,5 x 5)

•The kernel is moved throughout the original image and the DN at the center of the
kernel in a second(convoluted) output image is obtained by multiplying each coefficient
in the kernel by the corresponding DN in the original image and adding all the resulting
products. This operation is performed for each pixel in the original image.
Convolution
The generic image processing operation
Spatial filter

convolution

Procedure
Establish a moving window (operators/kernels)
Moving the window throughout the original image

Example
(a) Kernel
Size: odd number of pixels (3x3, 5x5, 7x7, …)
Can have different weighting scheme (Gaussian
distribution, …)
(b) original image DN
(c) convolved image DN
Pixels around border cannot be convolved
EDGE ENHANCEMENT

The purpose of edge enhancement is to highlight
fine detail in an image or to restore, at least partially,
detail that has been blurred (either in error or as a
consequence of a particular method of image
acquisition).
Edge enhancement
Typical procedures
Roughness

kernel size

Rough small
Smooth large

Add back a fraction of gray level to the
high frequency component image
High frequency exaggerate local
contrast but lose low frequency
brightness information
DIRECTIONAL FIRST DIFFRENCING
It is another enhancement technique aimed at emphasizing edges in image data.
It is a procedure that systematically compares each pixel in an image to one of
its immediately adjacent neighbors and displays the difference in terms of the
gray levels of an output image.
This process is mathematically asking to determine the first derivative of gray
levels with respect to a given direction.
The direction used can be horizontal, vertical , or diagonal.

Determine the first derivative of gray levels with respect to a
given direction.
Normally add the display value median back to keep all positive
values.
Fourier analysis
Spatial domain

frequency domain

Fourier transform
Conceptual description
Fit a continuous function through the discrete DN values if they
were plotted along each row and column in an image
The “peaks and valleys” along any given row or column can be
described mathematically by a combination of sine and cosine
waves with various amplitudes, frequencies, and phases

Fourier spectrum
Low frequency
center
High frequency
outward
Vertical aligned features
horizontal components
Horizontal aligned features vertical components
THANK U…

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Spatial enhancement

  • 2. Image enhancement is the process of making images more useful. The reasons for doing this include: Highlighting interesting detail in images Removing noise from images Making images more visually appealing
  • 3. Methods of Enhancement  1. Contrast manipulation  Contrast stretching = expand the DN values beyond their natural range to fill the 0-255 range.  2. Spatial feature manipulation  Refers to image texture.   Smooth areas have low spatial frequencies, gray values change gradually. Rough areas have high spatial frequencies and gray values change abruptly.
  • 4. Methods of Enhancement  3. Multi-image manipulation.  Two or more images combined mathematically, commonly by ratios.  Used to develop green vegetative index images, e.g., the NDVI.
  • 5. SPATIAL FEATURE MANIPULATION  SPATIAL FILTERING  CONVOLUTION  EDGE ENHANCEMENT  DIRECTIONAL FIRST DIFFRENCING  FOURIER ANALYSIS
  • 6. Filters  Low-pass filter –  designed to emphasize larger, homogeneous areas of similar tone and reduce smaller detail.  low-pass filters smooth the appearance of an image.  High-pass filters do the opposite –  sharpen the appearance of fine detail in an image.  Directional, or edge detection filters are designed to highlight linear features, such as roads or field boundaries.  enhance features which are oriented in specific directions.  useful for detection of linear geologic structures.
  • 7. Original image Low frequency component image High frequency component image
  • 9. Image Frequencies • Low Frequency Components = Slow Changes in Pixel Intensity • regions of uniform intensity
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  • 11. High Frequency component of image and filtering •High Frequency Components = Rapid Changes in Pixel Intensity •regions with lots of details
  • 13. Convolution Spatial filtering is but one spatial application of the generic image processing operation called convolution. Convolving an image involves the following procedures. •A moving window is established that contains an array of coefficients or weighing factors. Such arrays are referred to as operators or kernels , and they are normally an odd number of pixels in size (eg. 3 x 3,5 x 5) •The kernel is moved throughout the original image and the DN at the center of the kernel in a second(convoluted) output image is obtained by multiplying each coefficient in the kernel by the corresponding DN in the original image and adding all the resulting products. This operation is performed for each pixel in the original image.
  • 14. Convolution The generic image processing operation Spatial filter convolution Procedure Establish a moving window (operators/kernels) Moving the window throughout the original image Example (a) Kernel Size: odd number of pixels (3x3, 5x5, 7x7, …) Can have different weighting scheme (Gaussian distribution, …) (b) original image DN (c) convolved image DN Pixels around border cannot be convolved
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  • 16. EDGE ENHANCEMENT The purpose of edge enhancement is to highlight fine detail in an image or to restore, at least partially, detail that has been blurred (either in error or as a consequence of a particular method of image acquisition).
  • 17. Edge enhancement Typical procedures Roughness kernel size Rough small Smooth large Add back a fraction of gray level to the high frequency component image High frequency exaggerate local contrast but lose low frequency brightness information
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  • 23. DIRECTIONAL FIRST DIFFRENCING It is another enhancement technique aimed at emphasizing edges in image data. It is a procedure that systematically compares each pixel in an image to one of its immediately adjacent neighbors and displays the difference in terms of the gray levels of an output image. This process is mathematically asking to determine the first derivative of gray levels with respect to a given direction. The direction used can be horizontal, vertical , or diagonal. Determine the first derivative of gray levels with respect to a given direction. Normally add the display value median back to keep all positive values.
  • 24. Fourier analysis Spatial domain frequency domain Fourier transform Conceptual description Fit a continuous function through the discrete DN values if they were plotted along each row and column in an image The “peaks and valleys” along any given row or column can be described mathematically by a combination of sine and cosine waves with various amplitudes, frequencies, and phases Fourier spectrum Low frequency center High frequency outward Vertical aligned features horizontal components Horizontal aligned features vertical components