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A Presentation on
“SIMULATION OF PALM PRINT
IDENTIFICATION BASED ON
ZERNIKE MOMENT”
Internal guide:
Mr. MITUL M. PATEL
Asst. Prof, E&C Dept.
PIET, Limda
Prepared By:
SHARMA ASHOK S.
Enrollment No.
100370722003
Master of Engineering
Digital Communication
2012-13
AGENDA
• Introduction
• Palm Print
• Literature Review
• Palm Print Extraction
• Preprocessing
• Feature Extraction
• Matching
• Conclusion
• References
INTRODUCTION
• BIOMETRICS:
– Biometrics identification is the technique of
automatically identifying or verifying an
individual by physical characteristics or
personal trait.
– Types:
• Behavioral
• Physiological
CLASSIFICATION OF BIOMETRICS
BIOMETRIC CHARACTERISTICS
• Universality
• Permanence
• Uniqueness
• Collectability
• Acceptability
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
DESIRED FEATURES IN A
BIOMETRIC
• High Accuracy
• Permanence of biometric in time
• Utilization of cheap acquisition devices
• Resistance to changes in environmental conditions
• No or very little public objection (Acceptability)
• Small template size
• Simple user – system interaction
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
ADVANTAGES OF PALMPRINT
• Palm print has relatively
stable and unique features
• Collection of data is easy
and non-intrusive
• Devices to collect data are
economical
• It provides high efficiency
using low resolution images
[11] An Efficient Occlusion Invariant Palmprint Based Verification System -Naresh kumar kachhi
LITERATURE REVIEW
• Li Fang, Maylor K.H. Leung, Tejas Shikhare, Victor
Chan, Kean Fatt Choon, “Palmprint Classification” 2006
IEEE International Conference on Systems, Man, and
Cybernetics, October 8-11, 2006
– Classification of palm print in different categories.
• Madsu Hanmandlu, Neha Mittal “A comprehensive study
of palmprint based authentication”, International Journal
of Computer Applications, Jan 2012
– Use of new features for palm print recognition.
LITERATURE REVIEW
• K. B. Nagasundara, D. S. Guru “Multi-algorithm based
Palmprint Indexing”, International conference &
workshop on Recent Trends in Technology, 2012
– Proposed approach based on the fusion of Haar wavelets and
Zernike moments.
• Amir Tahmasbhi, Fatemeh Saki, Shahriar B. Shokouhi
“Classification of benign and malignant masses based on
Zernike moments” Elsevier, Computers in Biology and
Medicine, 2011
– Development of a novel Computer-aided Diagnosis (CADx) using
Zernike Moments.
LITERATURE REVIEW
• Atif Bin Mansoor , Hassan Masood, Mustafa Mumtaz ,
Shoab A. Khan “A feature level multimodal approach for
palm print identification using directional sub band
energies” Journal of Network and Computer Applications,
AUGUST 2010
– Different technique for ROI extraction.
JUSTIFICATION OF TOPIC
Need to build system which is robust to translation
and rotation, has constraint free acquisition, and uses
low cost scanner.
APPROACH
1. ROI extraction
2. Preprocessing
3. Feature extraction
4. Feature matching
5. Decision
BLOCK DIAGRAM
[9] Palmprint verification with moments –Ying Han Pang,
Andrew T.B.J
DATABASE
Poly U database Sr.
No.
Simulation
parameters
Values
1 Capturing device CCD
2 Spatial resolution 75 dpi
3 Gray levels 256
4 No. of images
used
200
5 Images per palm 10
6 Images for
training
140
7 Images for testing 60
Image from Poly U Palmprint database
[10] http://www.commp.polyu.edu.hk/~biometrics
DATABASE
Acquiring the image for database
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
PRINCIPLE LINES
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
RESOLUTION REQUIREMENTS FOR
DIFFERENT PALM PRINT FEATURES
Palm Print Features Required Resolution (in dpi)
Principal Lines ≥75
Wrinkles ≥100
Ridges texture ≥125
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
RESULTS
AND
ANALYSIS
ROI
(Region of Interest)
1. CAPTURE
IMAGE
2. BINARIZATION
3. CONTOUR
4. DISTANCE
TRANSFORM
5. SELECT
REFERENCE
POINT
6. SELECTING
ROI
7. CROPPING ROI
.c(x,y)
PREPROCESSING
HISTOGRAM EQUILIZATION
ROI
Histogram
FEATURE EXTRACTION
• Zernike moments are used as features.
• Provides good discrimination ability.
• The order of Zernike moments determines the
details of information regarding palm print.
• Higher the order of moments, greater the details of
the image.
• But higher orders are sensitive to noise.
[15] Image Analysis by Moments –Simon Xinmeng Liao
ZERNIKE MOMENTS
• Mapping of an image onto a set of complex
Zernike polynomials.
• Orthogonal to each other.
• Represent the properties of an image with no
redundancy or overlap of information between the
moments.
[15] Image Analysis by Moments –Simon Xinmeng Liao
ZERNIKE MOMENT:
• 𝑍 𝑝𝑞 =
𝑝+1
𝜋 0
2𝜋
0
1
𝑉𝑝𝑞 𝑟, 𝜃 𝑓 𝑟, 𝜃 𝑟𝑑𝑟𝑑𝜃; 𝑟 ≤ 1
p-|q|=even and |p|≤q
where
𝑉𝑝𝑞 𝑟, 𝜃 = 𝑅 𝑝𝑞 𝑟 𝑒−𝑖𝑞𝜃
; 𝑖 = −1
where
𝑅 𝑝𝑞 𝑟 =
𝑘=0
𝑝− 𝑞
2
(−1) 𝑘
𝑝 − 𝑘 !
𝑘!
𝑝 + 𝑞
2 − 𝑘 !
𝑝 − 𝑞
2 − 𝑘 !
𝑟 𝑝−2𝑘
[14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser, Tomáš Suk and
Barbara Zitová
TRAINNING THE SYSTEM
ROI Z00
1 0.020686
2 0.019612
3 0.019556
: :
: :
TRAINNING THE SYSTEM
ROI Z11
1 -0.0023663+.021545i
2 0.0035283-0.008104i
3 0.0046994-0.01299i
: :
: :
TRAINNING THE SYSTEM
ROI Z20 Z22
1 0.0026986 -0.015113-0.0043729i
2 -0.017006 -0.015396-0.0097199i
3 -0.026876 -0.0070583-0.006422i
: : :
: : :
MATCHING
Test image
Train images
EUCLIDEAN DISTANCE
• If p = (p1 ,p2,...,pn) and q = (q1 ,q2,...,qn) are
two points, then the distance from p to q is
given by
𝑑 𝑝, 𝑞 = (𝑝1 − 𝑞1)2+(𝑝2 − 𝑞2)2+ ⋯ + (𝑝𝑛 − 𝑞𝑛)2
MATCHING
Capture image
Extract ROI
Extract features
MATCHING
No Z00 Z11 Z20 Z22
1 0.0034
83
0.0045
6+.001
55i
-
0.0063
21
0.0056
45-
0.0131
i
2 0.0032
15
0.0056
46-
0.0546
4i
-
0.0005
123
0.0004
6213-
0.006i
3 0.0063
21
0.0034
83-
.01546
i
-
0.0005
123
0.0032
15+0.0
054i
.
.
.
MATCHING
Test image
Database
RESULTS
For order0,1 and 2, using a test image:
ROI with index 27
dmin = 0.0037 - 0.0075i
Test image
MINIMUM DISTANCE
MINIMUM DISTANCE
MINIMUM DISTANCE
INDEX MATCHING
PERFORMANCE EVALUATION
• FALSE ACCEPTANCE RATE:
• 𝐹𝐴𝑅 =
number of accepted imposter claims
total number of imposter accesses
× 100%
• FALSE REJECTION RATE:
• FRR =
number of rejected client claims
total number of client accesses
× 100%
• Receiver Operator Curve (ROC)
• Efficiency =
𝑡𝑟𝑢𝑒 𝑑𝑒𝑡𝑒𝑐𝑡𝑖𝑜𝑛
𝑡𝑜𝑡𝑎𝑙 𝑚𝑎𝑡𝑐ℎ𝑒𝑠
[9] Palmprint verification with moments –Ying Han Pang, Andrew T.B.J
SAMPLE ROC CURVES
[13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
FAR-FRR GRAPH FOR THRESHOLD
[9] Palmprint verification with moments –Ying Han Pang, Andrew T.B.J
THE ROC CURVE
FAR-FRR GRAPH TO OBTAIN
THRESHOLD VALUE
DISTANCE HISTOGRAM
LAGENDRE MOMENT:
𝜆 𝑝𝑞 =
2(𝑝 + 1)(𝑞 + 1)
4 −∞
∞
−∞
∞
𝑃𝑝 𝑥 𝑃𝑞 𝑦 𝑓 𝑥, 𝑦 𝑑𝑥𝑑𝑦
Where p+q is the order, p,q=0,1,2…∞
𝑝 𝑞 𝑥 =
1
2 𝑞
𝑝=0
𝑞
2
(−1) 𝑞
2𝑞 − 2𝑝 !
𝑝! 𝑞 − 𝑝 ! 𝑞 − 2𝑝 !
𝑥 𝑞−2𝑝
[14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser, Tomáš Suk and
Barbara Zitová
COMPARISION
Order of moments Efficiency
Zernike Legendre
0,1 68.3333 30.0000
0,1,2,3 81.3559 80.0000
0,1,2,3,4,5 77.7777 66.6666
0,1,2,3,4,5,6,7 86.0465 33.3333
0,1,2,3,4,5,6,7,8,9 68.5714 10.0000
CONCLUSION
• From this work it is concluded that there is a need
of Better biometric system for person
authentication with lower resolution capturing
device.
• By designing biometric system using palm print
we solved the above issue.
• Use of Zernike moments for identification makes
it robust to rotational and translational changes.
REFERENCES
[1] Vivek Kanhangad, Ajay Kumar, David Zhang, “A Unified Framework for
Contactless Hand Verification”, IEEE TRANSACTIONS ON
INFORMATION FORENSICS AND SECURITY, VOL.6, NO.3,
SEPTEMBER 2011
[2] Atif Bin Mansoor , Hassan Masood, Mustafa Mumtaz , Shoab A. Khan “A
feature level multimodal approach for palm print identification using
directional sub band energies” Journal of Network and Computer
Applications, AUGUST 2010
[3] Li Fang, Maylor K.H. Leung, Tejas Shikhare, Victor Chan, Kean Fatt
Choon, “Palmprint Classification” 2006 IEEE International Conference on
Systems, Man, and Cybernetics, October 8-11, 2006
[4] K. B. Nagasundara, D. S. Guru “Multi-algorithm based Palmprint
Indexing”, International conference & workshop on Recent Trends in
Technology, 2012
[5] Jian-GangWanga,Wei-Yun Yaua, Andy Suwandya, Eric Sungb “Person
recognition by fusing palm print and palm vein images based on
“Laplacian palm” representation”, 17 October 2007
[6] Zhu Le-qing, Zhang San-yuan, “Multimodal biometric identification
system based on finger geometry, knuckle print and palm print”, 1 June
2010
[7] Zhenhua Guo, Wangmeng Zuo, Lei Zhang, David Zhang, “A unified
distance measurement for orientation coding in palm print verification ”, 4
September 2009
[8] Madsu Hanmandlu, Neha Mittal “A comprehensive study of palmprint
based authentication”, International Journal of Computer Applications, Jan
2012
[9] Ying Han Pang, Andrew T.B.J “Palmprint verification with moments”
Journal of WSCG, Vol.12, No.1-3, ISSN 1213-6972
[10] The Poly U palmprint database.
http://www.commp.polyu.edu.hk/~biometrics
[11] Naresh kumar kachhi, “An Efficient Occlusion Invariant Palmprint
Based Verification System”, June 2009
[12] Diogo Santos Martins, “Biometric recognition based on the texture
along palmprint principal lines”,July 2011
[13] Baris Konuk, “Palmprint Recognition Based On 2-d Gabor Filters” Jan
2007
[14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser,
Tomáš Suk and Barbara Zitová
[15] Image Analysis by Moments –Simon Xinmeng Liao
THANK YOU

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phase2 FINAL

  • 1. A Presentation on “SIMULATION OF PALM PRINT IDENTIFICATION BASED ON ZERNIKE MOMENT” Internal guide: Mr. MITUL M. PATEL Asst. Prof, E&C Dept. PIET, Limda Prepared By: SHARMA ASHOK S. Enrollment No. 100370722003 Master of Engineering Digital Communication 2012-13
  • 2. AGENDA • Introduction • Palm Print • Literature Review • Palm Print Extraction • Preprocessing • Feature Extraction • Matching • Conclusion • References
  • 3. INTRODUCTION • BIOMETRICS: – Biometrics identification is the technique of automatically identifying or verifying an individual by physical characteristics or personal trait. – Types: • Behavioral • Physiological
  • 5. BIOMETRIC CHARACTERISTICS • Universality • Permanence • Uniqueness • Collectability • Acceptability [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 6. DESIRED FEATURES IN A BIOMETRIC • High Accuracy • Permanence of biometric in time • Utilization of cheap acquisition devices • Resistance to changes in environmental conditions • No or very little public objection (Acceptability) • Small template size • Simple user – system interaction [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 7. ADVANTAGES OF PALMPRINT • Palm print has relatively stable and unique features • Collection of data is easy and non-intrusive • Devices to collect data are economical • It provides high efficiency using low resolution images [11] An Efficient Occlusion Invariant Palmprint Based Verification System -Naresh kumar kachhi
  • 8. LITERATURE REVIEW • Li Fang, Maylor K.H. Leung, Tejas Shikhare, Victor Chan, Kean Fatt Choon, “Palmprint Classification” 2006 IEEE International Conference on Systems, Man, and Cybernetics, October 8-11, 2006 – Classification of palm print in different categories. • Madsu Hanmandlu, Neha Mittal “A comprehensive study of palmprint based authentication”, International Journal of Computer Applications, Jan 2012 – Use of new features for palm print recognition.
  • 9. LITERATURE REVIEW • K. B. Nagasundara, D. S. Guru “Multi-algorithm based Palmprint Indexing”, International conference & workshop on Recent Trends in Technology, 2012 – Proposed approach based on the fusion of Haar wavelets and Zernike moments. • Amir Tahmasbhi, Fatemeh Saki, Shahriar B. Shokouhi “Classification of benign and malignant masses based on Zernike moments” Elsevier, Computers in Biology and Medicine, 2011 – Development of a novel Computer-aided Diagnosis (CADx) using Zernike Moments.
  • 10. LITERATURE REVIEW • Atif Bin Mansoor , Hassan Masood, Mustafa Mumtaz , Shoab A. Khan “A feature level multimodal approach for palm print identification using directional sub band energies” Journal of Network and Computer Applications, AUGUST 2010 – Different technique for ROI extraction.
  • 11. JUSTIFICATION OF TOPIC Need to build system which is robust to translation and rotation, has constraint free acquisition, and uses low cost scanner.
  • 12. APPROACH 1. ROI extraction 2. Preprocessing 3. Feature extraction 4. Feature matching 5. Decision
  • 13. BLOCK DIAGRAM [9] Palmprint verification with moments –Ying Han Pang, Andrew T.B.J
  • 14. DATABASE Poly U database Sr. No. Simulation parameters Values 1 Capturing device CCD 2 Spatial resolution 75 dpi 3 Gray levels 256 4 No. of images used 200 5 Images per palm 10 6 Images for training 140 7 Images for testing 60 Image from Poly U Palmprint database [10] http://www.commp.polyu.edu.hk/~biometrics
  • 15. DATABASE Acquiring the image for database [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 16. PRINCIPLE LINES [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 17. RESOLUTION REQUIREMENTS FOR DIFFERENT PALM PRINT FEATURES Palm Print Features Required Resolution (in dpi) Principal Lines ≥75 Wrinkles ≥100 Ridges texture ≥125 [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 19. ROI (Region of Interest) 1. CAPTURE IMAGE 2. BINARIZATION 3. CONTOUR 4. DISTANCE TRANSFORM 5. SELECT REFERENCE POINT 6. SELECTING ROI 7. CROPPING ROI .c(x,y)
  • 21. FEATURE EXTRACTION • Zernike moments are used as features. • Provides good discrimination ability. • The order of Zernike moments determines the details of information regarding palm print. • Higher the order of moments, greater the details of the image. • But higher orders are sensitive to noise. [15] Image Analysis by Moments –Simon Xinmeng Liao
  • 22. ZERNIKE MOMENTS • Mapping of an image onto a set of complex Zernike polynomials. • Orthogonal to each other. • Represent the properties of an image with no redundancy or overlap of information between the moments. [15] Image Analysis by Moments –Simon Xinmeng Liao
  • 23. ZERNIKE MOMENT: • 𝑍 𝑝𝑞 = 𝑝+1 𝜋 0 2𝜋 0 1 𝑉𝑝𝑞 𝑟, 𝜃 𝑓 𝑟, 𝜃 𝑟𝑑𝑟𝑑𝜃; 𝑟 ≤ 1 p-|q|=even and |p|≤q where 𝑉𝑝𝑞 𝑟, 𝜃 = 𝑅 𝑝𝑞 𝑟 𝑒−𝑖𝑞𝜃 ; 𝑖 = −1 where 𝑅 𝑝𝑞 𝑟 = 𝑘=0 𝑝− 𝑞 2 (−1) 𝑘 𝑝 − 𝑘 ! 𝑘! 𝑝 + 𝑞 2 − 𝑘 ! 𝑝 − 𝑞 2 − 𝑘 ! 𝑟 𝑝−2𝑘 [14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser, Tomáš Suk and Barbara Zitová
  • 24. TRAINNING THE SYSTEM ROI Z00 1 0.020686 2 0.019612 3 0.019556 : : : :
  • 25. TRAINNING THE SYSTEM ROI Z11 1 -0.0023663+.021545i 2 0.0035283-0.008104i 3 0.0046994-0.01299i : : : :
  • 26. TRAINNING THE SYSTEM ROI Z20 Z22 1 0.0026986 -0.015113-0.0043729i 2 -0.017006 -0.015396-0.0097199i 3 -0.026876 -0.0070583-0.006422i : : : : : :
  • 28. EUCLIDEAN DISTANCE • If p = (p1 ,p2,...,pn) and q = (q1 ,q2,...,qn) are two points, then the distance from p to q is given by 𝑑 𝑝, 𝑞 = (𝑝1 − 𝑞1)2+(𝑝2 − 𝑞2)2+ ⋯ + (𝑝𝑛 − 𝑞𝑛)2
  • 30. MATCHING No Z00 Z11 Z20 Z22 1 0.0034 83 0.0045 6+.001 55i - 0.0063 21 0.0056 45- 0.0131 i 2 0.0032 15 0.0056 46- 0.0546 4i - 0.0005 123 0.0004 6213- 0.006i 3 0.0063 21 0.0034 83- .01546 i - 0.0005 123 0.0032 15+0.0 054i . . .
  • 32. RESULTS For order0,1 and 2, using a test image: ROI with index 27 dmin = 0.0037 - 0.0075i Test image
  • 37. PERFORMANCE EVALUATION • FALSE ACCEPTANCE RATE: • 𝐹𝐴𝑅 = number of accepted imposter claims total number of imposter accesses × 100% • FALSE REJECTION RATE: • FRR = number of rejected client claims total number of client accesses × 100% • Receiver Operator Curve (ROC) • Efficiency = 𝑡𝑟𝑢𝑒 𝑑𝑒𝑡𝑒𝑐𝑡𝑖𝑜𝑛 𝑡𝑜𝑡𝑎𝑙 𝑚𝑎𝑡𝑐ℎ𝑒𝑠 [9] Palmprint verification with moments –Ying Han Pang, Andrew T.B.J
  • 38. SAMPLE ROC CURVES [13] Palmprint Recognition Based On 2-d Gabor Filters - Baris Konuk
  • 39. FAR-FRR GRAPH FOR THRESHOLD [9] Palmprint verification with moments –Ying Han Pang, Andrew T.B.J
  • 41. FAR-FRR GRAPH TO OBTAIN THRESHOLD VALUE
  • 43. LAGENDRE MOMENT: 𝜆 𝑝𝑞 = 2(𝑝 + 1)(𝑞 + 1) 4 −∞ ∞ −∞ ∞ 𝑃𝑝 𝑥 𝑃𝑞 𝑦 𝑓 𝑥, 𝑦 𝑑𝑥𝑑𝑦 Where p+q is the order, p,q=0,1,2…∞ 𝑝 𝑞 𝑥 = 1 2 𝑞 𝑝=0 𝑞 2 (−1) 𝑞 2𝑞 − 2𝑝 ! 𝑝! 𝑞 − 𝑝 ! 𝑞 − 2𝑝 ! 𝑥 𝑞−2𝑝 [14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser, Tomáš Suk and Barbara Zitová
  • 44. COMPARISION Order of moments Efficiency Zernike Legendre 0,1 68.3333 30.0000 0,1,2,3 81.3559 80.0000 0,1,2,3,4,5 77.7777 66.6666 0,1,2,3,4,5,6,7 86.0465 33.3333 0,1,2,3,4,5,6,7,8,9 68.5714 10.0000
  • 45. CONCLUSION • From this work it is concluded that there is a need of Better biometric system for person authentication with lower resolution capturing device. • By designing biometric system using palm print we solved the above issue. • Use of Zernike moments for identification makes it robust to rotational and translational changes.
  • 46. REFERENCES [1] Vivek Kanhangad, Ajay Kumar, David Zhang, “A Unified Framework for Contactless Hand Verification”, IEEE TRANSACTIONS ON INFORMATION FORENSICS AND SECURITY, VOL.6, NO.3, SEPTEMBER 2011 [2] Atif Bin Mansoor , Hassan Masood, Mustafa Mumtaz , Shoab A. Khan “A feature level multimodal approach for palm print identification using directional sub band energies” Journal of Network and Computer Applications, AUGUST 2010 [3] Li Fang, Maylor K.H. Leung, Tejas Shikhare, Victor Chan, Kean Fatt Choon, “Palmprint Classification” 2006 IEEE International Conference on Systems, Man, and Cybernetics, October 8-11, 2006 [4] K. B. Nagasundara, D. S. Guru “Multi-algorithm based Palmprint Indexing”, International conference & workshop on Recent Trends in Technology, 2012
  • 47. [5] Jian-GangWanga,Wei-Yun Yaua, Andy Suwandya, Eric Sungb “Person recognition by fusing palm print and palm vein images based on “Laplacian palm” representation”, 17 October 2007 [6] Zhu Le-qing, Zhang San-yuan, “Multimodal biometric identification system based on finger geometry, knuckle print and palm print”, 1 June 2010 [7] Zhenhua Guo, Wangmeng Zuo, Lei Zhang, David Zhang, “A unified distance measurement for orientation coding in palm print verification ”, 4 September 2009 [8] Madsu Hanmandlu, Neha Mittal “A comprehensive study of palmprint based authentication”, International Journal of Computer Applications, Jan 2012 [9] Ying Han Pang, Andrew T.B.J “Palmprint verification with moments” Journal of WSCG, Vol.12, No.1-3, ISSN 1213-6972 [10] The Poly U palmprint database. http://www.commp.polyu.edu.hk/~biometrics
  • 48. [11] Naresh kumar kachhi, “An Efficient Occlusion Invariant Palmprint Based Verification System”, June 2009 [12] Diogo Santos Martins, “Biometric recognition based on the texture along palmprint principal lines”,July 2011 [13] Baris Konuk, “Palmprint Recognition Based On 2-d Gabor Filters” Jan 2007 [14] Moments and Moment Invariants in Pattern Recognition-Jan Flusser, Tomáš Suk and Barbara Zitová [15] Image Analysis by Moments –Simon Xinmeng Liao

Notas del editor

  1. 1. Universality: All individuals should possess the biometric characteristics. 2. Uniqueness: The biometric characteristics of different individuals should not be the same. 3. Permanence: The biometric characteristics of individuals should not change severely with the time. 4. Collectability: The biometric characteristics should be measurable with some practical device. 5. Acceptability: Individuals should not have objections to the measuring or collection of the biometric.