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Face Recognition System
Date: May 08, 2017
MA202 - Probability and Random Processes
Background and Motivation
• Today in this information era, most of data is secured by computers using different
security mechanisms
• Password
• Encryption key
• Palm/ Finger print
• Advantage of Face Recognition System: Non-Contact Process
• Core problem in Computer Vision & Image Processing
• Can be used to stop mischievous activities such as Proxy!
2/10May 8, 2017 Face Recognition System
Probability Model: Hidden Markov Model
• Markov Model: Future states depends on current states
• Hidden Markov Model:
• States and Observations are known
• But sequence of states is not defined to get a particular sequence of
observations
𝑆1:𝑘 = States & 𝑍1:𝑘= Observations 1- D HMM for Face Recognition
3/10May 8, 2017 Face Recognition System
Block Diagram
4/10May 8, 2017 Face Recognition System
Example
Rainy Sunny
0.40.6 0.8
0.2
Markov Model: Rainy
or Sunny depends on
current states
Happy Grumpy Happy Grumpy
Hidden Markov Model:
Observations happy or
grumpy depends on states 0.4 0.6 0.9 0.1
5/10May 8, 2017 Face Recognition System
𝑃 𝑅1 𝐻1 ) =
𝑃 𝐻1 𝑅1 ) ∙ 𝑃(𝑅1)
𝑃(𝐻1)
Assume: You are Happy on Day 1.
𝑃 𝑅0 = 𝑃 𝑆0 =
1
2
Red
Green
0.9
0.1
0.95
0.05
𝟏
𝟔𝟏
𝟔
𝟏
𝟔
𝟏
𝟔
𝟏
𝟔
𝟏
𝟔
𝟕
𝟏𝟐
𝟏
𝟏𝟐
𝟏
𝟏𝟐
𝟏
𝟏𝟐
𝟏
𝟏𝟐
𝟏
𝟏𝟐
𝑇 =
0.9 0.1
0.05 0.95
𝐸 =
1
6
1
6
1
6
7
12
1
12
1
12
1
6
1
6
1
6
1
12
1
12
1
12
Red Green
Red 0.9 0.1
Green 0.05 0.95
6/10May 8, 2017 Face Recognition System
Algorithm
• Finding transition, emission probabilities and sequence of states:
• Using Viterbi or Baum-Welch Algorithm
• Likelihood of a states for a given sequence of observations
• Finding out the most likely states using previously maximised sequence of
states
• Using logarithm of sequence of observations find out the most probable state
May 8, 2017 Face Recognition System 7/10
Algorithm
• Use of MATLAB functions
• hmmtrain: find out transition and emission probabilities
• hmmdecode: conditional probabilities for each states and logarithm of
sequence of observation for given transition and emission probability
• hmmvertbi: find out sequence of states
7/10May 8, 2017 Face Recognition System
Results
• State transition and emission probabilities • Conditional probabilities for each states and logarithm
of probability of given sequence of observations for
given transition and emission probability
8/10May 8, 2017 Face Recognition System
• Creating database of 40 faces that includes
transition and emission probabilities calculated
using “hmmtrain” function
• Following are 10 different images of person s5, taken from
different angles and with different facial expressions.
• Output from system
8/10May 8, 2017 Source of Code: www.mathworks.com
Future Scope
• Our current recognition system acquires face images only from files located on
magnetic mediums. Camera and Scanner support can be implemented for greater
flexibility.
• Currently we have not done any work to mark attendance of detected student
which we can do in future.
• Face recognition system used today work very well in constant lighting conditions,
but fails under the vastly varying conditions.
9/10May 8, 2017 Face Recognition System
Thank you!
Any Questions…??
10/10May 8, 2017 Face Recognition System

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Face recognition system using Hidden Markov Model

  • 1. Face Recognition System Date: May 08, 2017 MA202 - Probability and Random Processes
  • 2. Background and Motivation • Today in this information era, most of data is secured by computers using different security mechanisms • Password • Encryption key • Palm/ Finger print • Advantage of Face Recognition System: Non-Contact Process • Core problem in Computer Vision & Image Processing • Can be used to stop mischievous activities such as Proxy! 2/10May 8, 2017 Face Recognition System
  • 3. Probability Model: Hidden Markov Model • Markov Model: Future states depends on current states • Hidden Markov Model: • States and Observations are known • But sequence of states is not defined to get a particular sequence of observations 𝑆1:𝑘 = States & 𝑍1:𝑘= Observations 1- D HMM for Face Recognition 3/10May 8, 2017 Face Recognition System
  • 4. Block Diagram 4/10May 8, 2017 Face Recognition System
  • 5. Example Rainy Sunny 0.40.6 0.8 0.2 Markov Model: Rainy or Sunny depends on current states Happy Grumpy Happy Grumpy Hidden Markov Model: Observations happy or grumpy depends on states 0.4 0.6 0.9 0.1 5/10May 8, 2017 Face Recognition System 𝑃 𝑅1 𝐻1 ) = 𝑃 𝐻1 𝑅1 ) ∙ 𝑃(𝑅1) 𝑃(𝐻1) Assume: You are Happy on Day 1. 𝑃 𝑅0 = 𝑃 𝑆0 = 1 2
  • 6. Red Green 0.9 0.1 0.95 0.05 𝟏 𝟔𝟏 𝟔 𝟏 𝟔 𝟏 𝟔 𝟏 𝟔 𝟏 𝟔 𝟕 𝟏𝟐 𝟏 𝟏𝟐 𝟏 𝟏𝟐 𝟏 𝟏𝟐 𝟏 𝟏𝟐 𝟏 𝟏𝟐 𝑇 = 0.9 0.1 0.05 0.95 𝐸 = 1 6 1 6 1 6 7 12 1 12 1 12 1 6 1 6 1 6 1 12 1 12 1 12 Red Green Red 0.9 0.1 Green 0.05 0.95 6/10May 8, 2017 Face Recognition System
  • 7. Algorithm • Finding transition, emission probabilities and sequence of states: • Using Viterbi or Baum-Welch Algorithm • Likelihood of a states for a given sequence of observations • Finding out the most likely states using previously maximised sequence of states • Using logarithm of sequence of observations find out the most probable state May 8, 2017 Face Recognition System 7/10
  • 8. Algorithm • Use of MATLAB functions • hmmtrain: find out transition and emission probabilities • hmmdecode: conditional probabilities for each states and logarithm of sequence of observation for given transition and emission probability • hmmvertbi: find out sequence of states 7/10May 8, 2017 Face Recognition System
  • 9. Results • State transition and emission probabilities • Conditional probabilities for each states and logarithm of probability of given sequence of observations for given transition and emission probability 8/10May 8, 2017 Face Recognition System
  • 10. • Creating database of 40 faces that includes transition and emission probabilities calculated using “hmmtrain” function • Following are 10 different images of person s5, taken from different angles and with different facial expressions. • Output from system 8/10May 8, 2017 Source of Code: www.mathworks.com
  • 11. Future Scope • Our current recognition system acquires face images only from files located on magnetic mediums. Camera and Scanner support can be implemented for greater flexibility. • Currently we have not done any work to mark attendance of detected student which we can do in future. • Face recognition system used today work very well in constant lighting conditions, but fails under the vastly varying conditions. 9/10May 8, 2017 Face Recognition System
  • 12. Thank you! Any Questions…?? 10/10May 8, 2017 Face Recognition System