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IMAGE
QUANTIZA
TION
KEY STAGES IN
DIGITAL IMAGE
GENERATION
• Image captured by sensor (camera) are in continuous voltage
waveform
• Continuous in term of x and y coordinates and amplitude
• Digital image are represented in digital form i.e. discrete signals
• conversion of captured continuous signal into discrete signal
1. Sampling
2. Quantization
Image Quantization
• Process of digitizing the amplitude value of the continuous signal
• Continuous grey level intensity is converted in discrete form
• Depicts the grey level resolution of image
General Steps in Image Quantization
• Measuring the grey level intensity of the signal in fixed interval in time
• Value obtained in each instant of time is converted in number and stored
• This number depicts brightness value of a particular point
• Such point is called pixel
QUANTIZATION
Image Matrix
• Represents the intensity value or pixel value
• For n bit image, intensity value ranges form 0 – 2n-1
Drawbacks of quantization
• Generally irreversible
• Results in loss of information
• Introduces distortion which cannot be eliminated
Quantizing a grey-level image
Quantizer
• Used for quantization
• Amount of distortion depends upon the quantizer
• Good quantizer results in better quantization of image
Classification of Quantizer
Quantizer
Uniform Quantizer
Non-uniform quantizer
Zero Memory Quantizer
Zero Memory Quantizer
• Simplest type of quantizer
• Quantizing a sample is independent of other sample
• Maps amplitude variable to a discrete set of quantization levels, {r1,r2…,rl}
• Based on simple comparison / thresholding with certain values, tk
• tk = transition/ decision level
• rl = reconstruction level
Zero Memory Quantizer
Uniform Quantizer
• Simplest form of zero memory quantizer
• Quantization level are uniformly spaced
• Shows absolute change in amplitude of stimulus
• tk and rk are equally spaced
• Mathematically given as:
Uniform Quantizer
Non-Uniform Quantizer
• Quantization levels are not necessarily equally spaced
• Logarithmic relation between quantization levels
• Shows proportional change in amplitude of stimulus
• Better for human perception
• Quantization level are assigned from histogram analysis
Non-Uniform quantization, 4 level
Uniform quantization, 4 level
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Image Quantization

  • 2. KEY STAGES IN DIGITAL IMAGE GENERATION • Image captured by sensor (camera) are in continuous voltage waveform • Continuous in term of x and y coordinates and amplitude • Digital image are represented in digital form i.e. discrete signals • conversion of captured continuous signal into discrete signal 1. Sampling 2. Quantization
  • 3. Image Quantization • Process of digitizing the amplitude value of the continuous signal • Continuous grey level intensity is converted in discrete form • Depicts the grey level resolution of image
  • 4. General Steps in Image Quantization • Measuring the grey level intensity of the signal in fixed interval in time • Value obtained in each instant of time is converted in number and stored • This number depicts brightness value of a particular point • Such point is called pixel QUANTIZATION
  • 5. Image Matrix • Represents the intensity value or pixel value • For n bit image, intensity value ranges form 0 – 2n-1
  • 6. Drawbacks of quantization • Generally irreversible • Results in loss of information • Introduces distortion which cannot be eliminated
  • 8. Quantizer • Used for quantization • Amount of distortion depends upon the quantizer • Good quantizer results in better quantization of image
  • 9. Classification of Quantizer Quantizer Uniform Quantizer Non-uniform quantizer Zero Memory Quantizer
  • 10. Zero Memory Quantizer • Simplest type of quantizer • Quantizing a sample is independent of other sample • Maps amplitude variable to a discrete set of quantization levels, {r1,r2…,rl} • Based on simple comparison / thresholding with certain values, tk • tk = transition/ decision level • rl = reconstruction level
  • 12. Uniform Quantizer • Simplest form of zero memory quantizer • Quantization level are uniformly spaced • Shows absolute change in amplitude of stimulus • tk and rk are equally spaced • Mathematically given as:
  • 14. Non-Uniform Quantizer • Quantization levels are not necessarily equally spaced • Logarithmic relation between quantization levels • Shows proportional change in amplitude of stimulus • Better for human perception • Quantization level are assigned from histogram analysis
  • 15. Non-Uniform quantization, 4 level Uniform quantization, 4 level
  • 16.